Summary

Prof. Kailash C. Madan was born in 1942 in Muzaffargarh, Punjab, India. He received his Ph.D. in Mathematics from Kurukshetra University, India in 1976. Prof. Madan joined Ahlia University in 2003 as a Professor in Mathematics and Statistics. He was Chairman, Department of Mathematics from 2003 to 2005, Dean of the College of Mathematical Sciences and Information Technology from 2005 to 2008 and Dean of the College of Information Technology from 2008 to 2015. He has been the Chairperson of the Centre of Measurement and Evaluation since 2009 to date.

Prior to joining Ahlia University, Prof Kailash was in Yarmouk University, Jordan as a Professor from 1998 to 2003 and as Associate Professor from 1996 to 1998. Before joining Yarmouk University, Prof Madan was in the Department of Mathematics, University of Bahrain as Associate Professor from 1990-1996 and as Assistant Professor from 1980-1990. Prior to joining the University of Bahrain, Prof. Madan worked as a lecturer/Post-Graduate Teacher/Statistical Assistant in the National Council of Educational Research and Training (NCERT), New Delhi, India from 1966 to 1980.

Professor Madan is or has been a reviewer/referee/ member in the following professional and scientific societies:

  1. Journal of Data Analysis and Operations Research       Editorial Board Member
  2. Delhi Association of Mathematics Teacher                      Life Member
  3. American Mathematical Society                                         Member
  4. American Statistical Society                                                Member
  5. Indian Statistical Association                                              Member
  6. American Mathematical Society                                         Reviewer
  7. Abhath Al-Yarmouk Journal                                               Referee
  8. Annals of Operations Research                                          Referee
  9. Investigacion Operational                                                   Referee
  10. Stochastic Modelling And Applications                            Referee
  11. European Journal of Operational Research                     Referee
  12. European Journal of Operational Research                     Referee
  13. Journal of Prob. & Statistical Science                                Referee
  14. of Appl Math and Decision Sciences                                  Referee
  15. Asia Pacific Journal of Operational Research                  Referee
  16. European Journal of Operational Research                     Referee
  17. International Journal of Operational Research               Referee
  • in Mathematics /Queueing Theory ( “On Some Problems of Queueing Theory with Special Reference to Queues with Service Interruptions”, 1976, KurukshetraUniversity, Kurukshetra, India, )
  • in Mathematics, 1965, Kurukshetra University, Kurukshetra, India)
  • in Mathematics, 1963, Punjab University, Chandigarh, India)

Awards:  Professor Kailash C. Madan was awarded ‘Bharat Gaurav Award’ by India International Friendship Society (IIFS) at the award ceremony held at Le Meridien Hotel, New Delhi, India on 09 January 2014.

He was awarded World Education Congress- Asia Award in the individual category of ‘Best Professor in Information Technology Management’ at the award ceremony held at Taj Palace Hotel, Dubai on 25 September 2011. He was awarded a Research Fellowship by the University Grants Commission, Government of India to undertake his Ph.D. research work at Kurukshetra University, India. Kailash C. Madan was awarded a merit scholarship for 6 years by the Punjab University, Chandigarh, India and the Government of Punjab, India on the basis of his school level Matriculation examination and two college level examinations, Intermediate Degree as well as Bachelor Degree Examinations.

Research

In addition to teaching at all levels, Professor Madan has a total of 120 publications including 94 research papers published in international research journals, 9 conference publications and 17 other publications including surveys, project reports and chapters in books and co-authorship of mathematics textbooks at school levels.

Prof. Kailash Chander Madan Research

Teaching

For the initial 15 years of his career, Professor Madan had a non-teaching job at the National Council of Educational Research and Teaching (NCERT), India, where he contributed in team work activities including curriculum development in Mathematics and many large scale educational surveys and projects in India.

During the next phase of his career spanned over a long period of 35 years (and continuing) , Kailash C. Madan has taught Mathematics, Statistics and Operations Research courses at the Undergraduate as well as the Post-Graduate levels at the following Universities:

University of Bahrain: 16 years (1980-1996)

Yarmouk University, Irbid Jordan: 7 years (1996-2003)

Ahlia University, Bahrain: 12 years (2003-till date)

Supervision

  1.  Student Name : Farzana Maraghi

            Ph. D. Degree Awarded: by Brunel University, UK in August, 2008

Title of Ph. D. Thesis: “A Study of Some M(X)/G/1 Type Queues with Random Breakdowns and Bernoulli Schedule Server Vacations Based on a Single Vacation Policy” Joint papers published from the student’s thesis in refereed International research journals: Four papers

  1. Student Name : Rehab Fadhel

            Ph. D. Degree Awrded: by Brunel University, UK in March 2012

Title of Ph. D. Thesis: “On Some Queueing Systems with Server Vacations, Extended Vacations, Breakdowns, Delayed repairs and a Stand-by”. Joint papers published from the thesis in refereed international Research

Journals: Four papers

  1. Student Name: Monita Barua

            Enrolled in Ahlia-Brunel Joint Ph. D. Programme (PWR) under my

           supervision

The student is about to complete corrections in her thesis and is likely to re-submit her thesis within the next 6 months.

Joint papers published from the thesis in refereed international Research

Journals: Five papers

Master Dissertations Supervision

Successfully completed supervision of 12 master dissertations (11 at Yarmouk University and one the University of Bahrain)

Publications

Journals

  1. Bernoulli Schedule Vacations in a Single Server ‘Queue with Two Phase First Essential Service Followed by Optional Two Phase Additional Service’ , Madan, Kailash C. (2017), Far East Journal of Mathematical Sciences (India), Vol. 101, Isseu 6, pp. 1313-1326.
  2. On a Batch arrival Queue with Second Optional Service, Random Breakdowns, Delay Time for Repairs to Start and Restricted Admissibility of Arrivals During Breakdown Periods’, Madan, Kailash C. and Malalla, E. (2017), Journal of Mathematical and Computational Science (UK), Vol. 7, No. 1, pp. 175-188.
  3. ’On Four Models of a Three Server Queeu withOptional Server vacations, Madan, Kailash C. (2016),  International Journal of Mathematical, Computational, Physical, Electrical and Computer Engineering, Vol. 10,  No. 8, pp.379-383.
  4. Time-dependent and Steady State solution of an M(X)/G/1 queueing system with server’s long and short  vacations’, Madan, Kailash C. and Hadjar, Karim (2016), Journal of Mathematical and Computational Science (UK), Vol. 6,  No. 3, pp. 486-506.
  5. On optional deterministic server vacations in a batch arrival queueing system with a single server providing first essential service followed by one of the two types of additional optional service’, Madan, Kailash C. (2016), Malaya Journal of Matematik  (Singapore), Vol. 4 No. 1, pp. 25-36.
  6. A batch arrival single server queue with generalized Coxian-2 service and optional generalized Coxian-2 vacation‍’, Madan, Kailash C. (2015), Mathematical Sciences and Applications E Notes (Slovakia), Vol. 3, No. 2, pp. 33-44.
  7. ‘On a M^[x]/(G_1,G_2)/1  Queue with Third-Stage Optional Service and Deterministic Server Vacations’‍, Madan, Kailash C. (2015) , Journal of Mathematical and Computational Science (UK), Vol. 5 No. 2, 195-206. Scientific and Knowledge Publishing Corporation Limited.
  8. ‘A Single Server Bulk  Queue with Random failures and Two Phase Repairs with Delay’, Madan, Kailash C. and Malalla E. (2015), Investigacion Operacional (Cuba), Vol. 36, No. 1, pp. 45-59.
  9. ‘On a Single Server Queue with Arrivals in Batches of Variable Size, General Service in Three Fluctuating Modes, Balking, Random Breakdowns and a Stand-by Server During Breakdown Periods.’, Madan, Kailash C. (2014), Investigacion Operacional (Cuba), Vol. 35, No. 3, pp. 189-200.
  10.  ‘A Batch Arrival Singel Server Queue with Server Providing General Service in Two Fluctuating Modes and Reneging During vacations and Breakdowns’, Monita Baruah, Kailash C. Madan and Tillal Eldabi (2013), Journal of Probability and Statistics, (USA),Volume 2014 (2014), Article ID 319318, 12 pages.
  11. ‘A Two StageBatcharrival Queue with Reenging During Vacation and Breakdown Periods’, Monita Baruah, Kailash C. Madan and Tillal Eldabi (2013), American Journal of Operations Reserach   (USA),  Accepted for Publication 10 October  2013.
  12. ‘A Batch Arrival Queue with Second Optional Service and Reneging During Vacation Periods’, Monita Baruah, Kailash C. Madan and Tillal Eldabi (2013), Investigacion Operacional   (Cuba),  Vol. 34, No. 3, pp. 244-258.
  13. ‘Two stage heterogeneous service in a batch arrival vacation queue vacation queue with balking and optional re-service’, Monita Barua, Kailash C. Madan and Tilal Eldabi, Applied Mathematical Sciences (Bulgaria), Vol. 7, No. 17, pp. 837-856, 2013.
  14. ‘Balking and re-service in a vacation queue with batch arrival and two types of heterogeneous service’, Monita Barua, Kailash C. Madan and Tilal Eldabi (2012),  Journal of Mathematics Research (Canada), Vol. 4, No. 4, pp. 114-124.
  15. ‘On an M(X)/G/1 queuing system with random breakdowns, server vacations, delay times and a stand-by server’, Rehab F. Khalaf , Kailash C. Madan and Cormac A. Lukas (2012), International Journal of Operational Research (USA), Vol.15, No. 1, pp. 30-47, 2012.
  16. ‘An M(X)/G/1 queue with Bernoulli schedule general vacation times, general extended vacations, general repair times  for repirs to start and general repair times’, Rehab F. Khalaf , Kailash C. Madan and Cormac A. Lukas (2011), Journal of  Mathematics Research (Canada) , Vol. 3, No. 4, pp. 8-20.
  17. ‘On a batch arrival queueing system equipped with a stand-by server during vacation periods or the breakdown periods of the main server’, Rehab F. Khalaf , Kailash C. Madan and Cormac A. Lukas (2011), Journal of Probability and Statistics (USA), Vol. 2011,  Article ID 812726, pp. , pp. 1-11, 2011.
  18. ‘A Non-Preemptive Priority Queueing System with a Single Server Serving Two Queues M/G/1 and M/D/1 with Optional Server Vacations Based on Exhaustive Service of the Priority Units’, Madan, Kailash C. (2011), Applied Mathematics (USA), Vol. 3, No. 2, pp. 791-799,  2011.
  19. ‘An M[X]/G/1 queue with Bernoulli schedule, general vacation times, random breakdowns, general delay times and general repair times’, Rehab F. Khalaf , Kailash C. Madan and Cormac A. Lukas (2011), Applied Mathematical Sciences (Bulgaria), Vol. 5, No. 1, pp. 35-51.
  20. ‘A single queue with mutually replacing m servers’, Madan, Kailash C. (2011), Journal of Mathematics Research (Canada), Vol. 3, No. 1, pp 03-08.
  21. ‘queue with restricted admissibility of arriving batches and modified Bernoulli schedule server vacations based on a single vacation policy, Madan, Kailash C. (2010),  Applied Mathematical Sciences (Bulgaria), Vol. 4, No. 46, pp. 2271-2292.
  22. ‘Bernoulli schedule vacation queue with batch arrivals and random system breakdowns having general repair time distribution’, Farzana Maraghi, Kailash C. Madan and Kenneth Darby-Dowman,(2010), International Journal of Operational Research (USA), Vol. 7, No. 2,  pp. 240-256.
  23. ‘Batch arrival vacation queue with second optional service and random system breakdowns’,  Farzana Maraghi, Kailash C. Madan and Kenneth Darby-Dowman (December 2010), Journal of Statistical Theory and Practice (USA), Vol. 3, No. 4.
  24. ‘Batch arrival Bernoulli schedule vacation queue with two types of general heterogeneous service and random system breakdowns’,  Farzana Maraghi, Kailash C. Madan and Kenneth Darby-Dowman (August, 2009), Journal of Probability and Statistical Science (China), Vol. 7, No. 2,  pp. 229-244.
  25. ‘On an M/G/1 queue with optional server vacations based on exhaustive service and a single vacation policy’, Madan, Kailash C. (2009), Systems Science (Poland) , Vol. 35, No. 4, pp. 21-25, 2009.
  26. ‘Batch Arrival Queueing System with Random Breakdowns and Bernoulli Schedule  Server Vacations Having General Vacation Time Distribution’, Farzana Maraghi, Kailash C. Madan and Kenneth Darby-Dowman (March, 2009), International Journal of information and Management Sciences (China), Vol. 20, No. 1, pp. 55-70.
  27. ‘A batch arrival Bernoulli vacationqueue  with a random set up time under restricted admissibility policy’,  Gautam Choudhury and Kailash C. Madan (2007), International Journal of Operational Research (USA), Vol. 2, No. 1, pp. 81-97.
  28. ‘A batch arrival queue with with Bernoulli vacation schedule under multiple vacation policy’, Gautam Choudhury and Kailash C. Madan (2006), International Journal of Management Sciences (Korea)), Vol. 12, No. 2, pp.1-18.
  29. ‘Steady State Analysis of an M(x)/(G1,G2)/1 Queue with Restricted Admissibility and Random Setup Time’, Kailash C. Madan and Gautam Choudhury (2006), International Journal of Information and Management Sciences (China),  Volume 17, Number 2, pp 33-56.
  30. ‘A two-stage batch arrival queueing system with a modified Bernoulli schedule vacation under N-Policy’, Gautam Choudhury. and Kailash C. Madan (2005), Mathematical and Computer Modeling (USA), Volume 42, pp 71-85.
  31. ‘A single server queue with two phases of heterogeneous service under Bernoulli schedule and general vacation time’, Kailash C. Madan and Gautam Choudhury (2005), International Journal of Information and Management Sciences (China), Vol.  16, Number 2,  pp 1-16.
  32. ‘A two-stage batch arrival queueing system with a random set-up time under modified Bernoulli schedule vacation’,Gautam Choudhury and Kailash C. Madan (2005), Revista Investigacion Operacional (Cuba), Vol. 26, No. 3, pp. 238-250.
  33. ‘On a single server queue with phase type service and optional phase type server vacations based on exhaustive service under  a single vacation policy’, Kailash C. Madan and Adel Z. Abu Al-Rub (2005), Journal of Applied Statistical Science (JASS) (USA), Vol. 15, issue 1, pp 49-66.
  34. ‘On   M(X)/(G1/G2)/1/G(BS)/Vs queue with batch arrivals, two types of general heterogeneous service and general vacation times with Bernoulli schedules under a single vacation policy’, Kailash C. Madan, Ziad Al-Rawi and Amjad D. Al-Nasser (2005), Advances in Decision Sciences (New Zealand), Vol. 2005, No. 3, pp. 123-135.
  35. ‘On the  M(X)/G/1 queue with feedback and optional server vacations under a single vacation policy’, Kailash C. Madan and Mohammad Rawaash (2005), Applied Mathematics and Computation (Netherlands), Vol 160, No. 3, pp. 909-919.
  36. ‘An M/G/1 queue with Bernoulli schedules and Coxian-2 server vacations’, Kailash C. Madan and Masuad M. Jahromi (2004) , Systems  Science (Poland), Vol. 29, No. 4, 2004, pp 69-83, 2004.
  37. ‘Steady State Analysis of an M/(G1,G2)/1 queue with restricted admissibility of arriving batches and modified Bernoulli server vacations under a single vacation policy’, Kailash C. Madan and Gautam Choudhury (2004), Journal of Probability and Statistical Science (China), Vol. 2(2), pp. 167-185.

 

Conferences

  1. ‘On Four Models of a Three Server Queue with Optional ServerVacations’, Kailash C. Madan (04-5 August 2016), 18th International Conference on Mathematcs, Statistics,  and Scientific  Computing held at Vancouver, Canada.
  2. ‘A Queueing System Equipped with two Components Subject to Random Failures and Heterogeneous General Service with Fluctuating Rates Depending on State of the Components’, Kailash C. Madan (31 August  -03 September 2015) ‘4th Eurasian Conference on Mathematical Sciences and Applications’ held on at Athens, Greece.
  3. ‘A batch arrival single server queue with generalized Coxian-2 Service and Optional Generalized Coxian-2 Vacations’, Kailash C. Madan (25-28 August  2014), the Third Eurasian Conference on ‘Mathematical Sciences and Applications’ held on at Vienna, Austria.
  4. ‘On an M(x)/G/1 Queue with Random Time- Homogeneous System Failures and Reneging During Breakdown Periods’, Kailash C. Madan (2013), International Conference on Econometrics, Operations Research and Statistics (ICEORS 2013) organized by WASET (World Congress on Science, Engineering and Technology ) held on 30-31 July 2013 at Zurich, Switzerland: Paper published in WASET conference proceedings , Issue 79, pp. 2168-2174.
  5. ‘A Batch Arrival Single Server Queue withGeneral Service Times, Random Time-Homogeneous Failures and General Delay Times’, Kailash C. Madan,  A (2012), International Conference on Mathematical Computational, Statistical Science  and Engineering (ICMCSSE 2012) held at Kuaal Lumpur, Malaysia on 28-29 August, 2012.  Paper published in WASET conference proceedings, Issue 68, pp. 1697-1706.
  6. ‘Steady state analysis of an M(X)/G/1 Queue with Bernoulli Schedule General Vacations, Random Breakdowns and Exponential Repair Times with Delay’, was presented  by my Ph. D. student at the World Congress on Science, Rehab Khalaf,  Kailash C. Madan and Cormac A. Lucas,  A paper entitled (2010), Engineering and Technology (WASET)  Conference  held at Paris, France on 28-30 June 2010.  Paper published in WASET conference proceedings, Issue. 66, pp. 2798-2812.
  7. ‘On a Batch Arrival M(X)/M(a,b) (RB/ G(D)/G®/1 Queue with Exponential Service in Batches of Variable Size [a, b]’, Time-Homogeneous Random Breakdowns, General Delay Times and General Repair Times, Kailash C. Madan (2009), Sixth International Conference on  Operations Research, held at Penang, Malaysia, on  26-28 February, 2009. Paper published in conference proceedings, Vol. 38, pp. 1399-1411.

 

Articles Published in International Refereed Research Journals

 

  1.  Madan, Kailash C. (2015) : ‘A batch arrival single server queue with generalised Coxian-2 service and optional generalised Coxian-2 vacation‍’, Mathematical Sciences and Applications E Notes (Slovakia). Accepted for publication 11 June 2015.
  2. Madan, Kailash C. (2015) : ‘On a M^[x]/(G_1,G_2)/1  Queue with Third-Stage Optional       Service and Deterministic Server Vacations’‍, Journal of Mathematical and Computational Science (UK), Vol. 5 No. 2, 195-206.
  3.  Madan, Kailash C. and Malalla E. (2015) : ‘A Single Server Bulk Queue with Random failures and Two Phase Repairs with Delay’, Investigacion Operacional (Cuba), Vol. 36, No. 1, pp. 45-59.
  4. Madan, Kailash C. (2014) : ‘On a Single Server Queue with Arrivals in Batches of Variable Size, General Service in Three Fluctuating Modes, Balking, Random Breakdowns and a Stand-by Server During Breakdown Periods.’, Investigacion Operacional (Cuba), Vol. 35, No. 3, pp. 189-200.
  5. Monita Baruah, Kailash C. Madan and Tillal Eldabi (2013) : ‘A Batch Arrival Singel Server Queue with Server Providing General Service in Two Fluctuating Modes and Reneging During vacations and Breakdowns’, Journal of Probability and Statistics   (USA), Volume 2014 (2014), Article ID 319318, 12 pages http://dx.doi.org/10.1155/2014/319318
  6. Monita Baruah, Kailash C. Madan and Tillal Eldabi (2013) : ‘A Two Stage Batch arrival Queue with Reenging During Vacation and Breakdown Periods’, American Journal of Operations Reserach   (USA), Accepted for Publication 10 October 2013 Monita Baruah, Kailash C. Madan and Tillal Eldabi (2013) : ‘A Batch Arrival Queue with Second Optional Service and Reneging During Vacation Periods’, Investigacion Operacional   (Cuba), Vol. 34, No. 3, pp. 244-258.
  7. Monita Baruah, Kailash C. Madan and Tillal Eldabi (2012) : ‘Two-Stage Heterogeneous Service in a Batch Arrival Vacation Queue with Balking and Optional Re-Service’, Applied Mathematical Sciences   (Bulgaria), Vol. 7, No. 17, pp. 837-856.
  8. Monita Baruah, Kailash C. Madan and Tillal Eldabi (2012) : ‘Balking and Re-Service in a Vacation Queue with Batch Arrival and Two Types of Heterogeneous Service’, Journal of Mathematics Reserach   (Canada), Vol.4 No. 4, pp. 114-124. Fadhil, Rehab, Madan, Kailash C. and Lukas A. Cormac (2012) : ‘On M(x)/G/1 Queueing System with Random Breakdowns, Server vacations, Delay Times and a Standby Server’, International Journal of Operational Reserach   (USA), Vol. 15, No. 1, pp. 30-47, doi:10.1504/IJOR.2012.048290. Fadhil, Rehab, Madan, Kailash C. and Lukas A. Cormac (2011) : ‘An M(X)/G/1 Queue with Bernoulli Schedule General vacation Times, General Extended Vacations, General Repair Times for Repairs to Start and General Repair Times’, Journal of Mathematics Research   (Canada), Vol. 3 No. 4, pp. 8-20. Fadhil, Rehab, Madan, Kailash C. and Lukas A. Cormac (2011) : ‘On a Batch Arrival Queuing System Equipped with a Stand-by Server During Vacation Periods or the Repairs Times of the Main Server’, Journal of Probability and Statistics   (USA), Vol 2011, Article ID 812726, pp. 1-11, doi: 10. 1155/2011/812726.
  9. Madan, Kailash C. (2011) : ‘A Non-Preemptive Priority Queueing System with a Single Server Serving Two Queues M/G/1 and M/D/1 with Optional Server vacations Based on Exhaustive Service of the Priority Units’, Applied Mathematics (USA), Vol. 3, No. 1, pp 03-08.  
  10. Fadhil, Rehab, Madan, Kailash C. and Lukas A. Cormac (2011) : ‘An M(X)/G/1 Queue with Bernoulli Schedule General Vacation Times, Random Breakdowns, General Delay Times and General Repair Times’, Applied Mathematical Sciences   (Bulgaria), Vol. 5, No. 1, pp 35-51.
  11.  Madan, Kailash C. (2011) : ‘A Single Queue with Mutually Replacing m servers’, Journal of Mathematics Research (Canada), Vol. 3, No. 1, pp 03-08.
  12.  Madan, Kailash C. (2010) : ‘Steady State Analysis of a Queue with Restricted Admissibility of Arriving Batches and Modified Bernoulli Schedule Server vacations Based on a Single Vacation Policy’, Journal of Applied Mathematical Sciences (Bulgaria), Vol. 4, No. 46,   pp 2271-2292.   Maraghi, Farzana, Madan, Kailash C. and Darby-Dowman, Kenneth (2010) : ‘Bernoulli Schedule Vacation Queues with Bath Arrivals and Random System Breakdowns Having General Repair Time Distribution’, International Journal of Operations Research   (USA).   Vol. 7 No. 2, pp. 240-256.
  13.  Maraghi, Farzana, Madan, Kailash C. and Darby-Dowman, Kenneth (2010) : ‘Batch Arrival Vacation Queue with Second Optional Service and Random System Breakdowns’, Journal of Statistical Theory and Practice (USA), Vol. 4, No. 1, pp. 137-153.
  14.  Maraghi, Farzana, Madan, Kailash C. and Darby-Dowman, Kenneth (2009) : ‘Batch Arrival Bernoulli Schedule Vacation Queue with Two Types of General Heterogeneous Service and Random System Breakdowns’, Journal of Probability and Statistical Science (Taiwan ), Vol. 7, No. 2, pp 229-244.
  15. Madan, Kailash C. (2009) : ‘On an M/G/1 Queuewith Optional Server Vacations Based on Exhaustive Service and Single Vacation Policy’, Systems Science (Poland), Vol. 35, No. 4, pp 21-25.
  16. Maraghi, Farzana, Madan, Kailash C. and Darby-Dowman, Kenneth (2009) : ‘Batch Arrival Queueing System with Random Breakdowns and Bernoulli Schedule Server Vacations Having General Vacation Time Distribution’, International Journal of Management and Information Sciences (Taiwan), Vol. 20, pp 55-70.
  17. Choudhury G. and Madan, Kailash C. (2007) : ‘A batch Arrival Bernoulli Vacation Queeu with a Random Set Up Time Under Restricted Admissibility Policy’, International Journal of Operations Research   (USA).   Volume 2, Number 1, pp 81-97.
  18. Choudhury G. and Madan, Kailash C. (2006) : ‘A Batch arrival Queue Queue with Bernoulli Vacation Schedule Under Multiple Vacation Policy’, International Journal of Management Sciences   (Korea).   Volume 12, Number 2, pp 1-18 .
  19. Madan, Kailash C. and Choudhury G. (2006) : ‘Steady State Analysis of an M(x)/(G1,G2)/1 Queue with Restricted Admissibility and Random Setup Time’, International Journal of Information and Management Sciences   (Taiwan).   Volume 17, Number 2, pp 33-56.
  20. 70 Choudhury, G. and Madan, Kailash C. (2005): ‘A Two-Stage Batch Arrival Queueing System with a Modified Bernoulli Schedule vacation under N-Policy’, Mathematical and Computer Modelling [USA]. , Volume 42, pp 71-85.
  21. Choudhury, G. and Madan, Kailash C. (2005): ‘A Two-Stage Batch Arrival Queueing System with a Random Setup Time under Modified Bernoulli Schedule Vacation Policy’ Investigacion Operacional [Cuba], Vol. 26, No. 3, pp. 238-250.
  22. Madan, Kailash C. and Choudhury G. (2005) : ‘A Single Server Queue with Two Phases of Heterogenepus Service Under Bernoulli Schedule and General Vacation Time’, International Journal of Management and Information Sciences (Taiwan), Vol 16, Number 2, pp 1-16.
  23. Madan, Kailash C. and Adel Z. Abu Al-Rub (2005): ‘On a Single Server Queue with Phase Type Service and Optional Phase Type Server Vacations Based on Exhaustive Service Under a Single Vacation Policy’, Journal of Applied Statistical Science (JASS) (USA), Vol. 15, issue 1, pp 49-66.
  24. Kailash C. Madan, Ziad Al-Rawi and Amjad D. Al-Nasser (2005) : ‘On   M(X)/(G1/G2)/1/G(BS)/Vs Queue with Batch Arrivals, Two Types of General Heterogeneous Service and General Vaction Times with Bernoulli Schedules Under a Single Vacation Policy’, Applied Mathematics and Decision Sciences [New Zealand], Vol. 2005, No. 3, pp. 123-135.
  25. Kailash C. Madan and Mohammad Rawaash (2005) : ‘On the M(X)/G/1Queue with Feedback and Optional Server Vacations Under a Single Vacation Policy’, Applied Mathematics and Computation [Netherlands], Vol 160, No. 3, pp. 909-919.
  26. Walid Abu-Dayyeh and Kailash C. Madan (2005) : ‘The Admissibility of the LRT for the Exponential Family Model’, Applied Math and Computation [Netherland], Vol. 160, No. 2, pp. 303-308.
  27. Kailash C. Madan and Masuad M. Jahromi (2004) : ‘An M/G/1 Queue with Bernoulli Schedules and Coxian-2 Server Vacations’, Systems Science [Poland], Vol. 29, No. 4, 2004, pp 69-83.
  28. Kailash C. Madan and Gautam Choudhury (2004) : ‘Steady State Analysis of an M/(G1,G2)/1 Queue with Restricted Admissibility of Arriving batches and Modified Bernoulli Server Vacations Under a Single vacation Policy’, Journal of Probability and Statistical Science [Taiwan], Vol. 2(2), 2004, pp 167-185.
  29. Madan, Kailash C. and Adel Z. Abu Al-Rub (2004): ‘ On a Single Server Queue with Optional Phase Type Server vacations Based on Exhaustive Deterministic Service and a Single Vacation Policy’, Applied Mathematics and Computation [Netherlands], Vol. 149, Issue 3, 2004, pp. 723-734. Gautam Choudhury and Kailash C. Madan (2004) : ‘A Two Phase Batch Arrival Queueing System With a Vacation Time Under Bernoulli Vacation Schedule’, Applied Math and Computation [Netherland], Vol. 149, Issue 3, 2004, pp 337-349.
  30. Kailash C. Madan and Gautam Choudhury (2004) : ‘An M(X)/G/1 Queue with a Bernoulli Vacation Schedule Under Restricted Admissibility Policy’, Sankhya [India], Vol. 66, Part 1, February, 2004, pp 175-193.
  31. Madan, Kailash C., Adel Z. Abu Al_Rub (2004): ‘Transient and Steady State Analysis of a Single Server Queue with Modified Bernoulli Schedule Server Vacations Based on Exhaustive Service and a Single Vacation Policy’ Investigacion Operacional [Cuba], Vol. 25, No. 2, pp 158-165.
  32. Madan, Kailash C., Amjad D. Al-Nasser and Abedel –Qader Al-Masri (2004): ‘M(X)/(G1/G2)/1 Queue with Optional Re-Service, Applied Mathematics and Computation [Netherlands]. Vol. 152, pp. 71-88.
  33. Madan, Kailash C. ,Walid Abu-Dayyeh and Mohamad Ghraibeh (2003): ‘ On Two Parallel Servers with Random Breakdowns ‘, Soochow Journal of Mathematics [Taiwan], Vol. 29, No. 4, pp. 413-423.
  34. Madan, Kailash C. , Walid Abu-Dayyeh and Firas Tayan (2003): ‘ Steady State Analysis of an M/D/2 Queue with Bernoulli Schedule Server Vacations ‘, Journal of Modern Applied Statistical Methods [USA]. May, 2003, Vol. 2, No. 1, pp 202-209.
  35. Madan, Kailash C. and Walid Abu-Dayyeh (2003): ‘ On a Non-Preemptive Priority Queueing System with a Single Server Simultaneously Dealing with Two heterogeneous Queues M/G1/1 queue and M/G2/1 queue ‘, Journal of Probability and Statistical Science [Taiwan]. Vol. 1 No. 2, pp 221-241.
  36. Madan, Kailash C. , Walid Abu-Dayyeh and Mohammad Gharaibeh (2003): ‘Steady State Analysis of Two M(X)/M(a,b)/1 Queue Models with Random breakdowns ‘, International Journal of Information and Management Sciences [Taiwan]. Vol. 14, Number 3, pp 37-51, 2003.
  37. Madan, Kailash C. and Walid Abu-Dayyeh (2003): ‘ On a Combination of M/G/1 and M/D/1 Queues in a Non-Preemptive Priority Queueing System’, Far East Journal of Theoretical Statistics [India], Vol. 10, No. 2, pp 133-146.
  38. Jehad Al-Jararha and Madan, Kailash C. (2003) : ‘An M/G/1 Queue with Second Optional Service with General Service Time Distribution’, International Journal of Information and Management Sciences [Taiwan], Vol. 14, Number 2, pp 47-56.
  39. Raid F. Anabosi and Madan, K. C. (2003) : ‘A Single Server Queue with Two Types of Service, Bernoulli Schedule Server Vacations and a Single Vacation Policy’, Pakistan Journal of Statistics [Pakistan], Vol. 19, No. 3, pp 331-342.
  40. Madan, Kailash C. (2003) : ‘An M/G/1 Type Queue with Time-Homogeneous Breakdowns and Deterministic Repair Times’, Soochow Journal of Mathematics [Taiwan], Vol. 29, No. 1, pp 103-110.
  41. Walid Abu-Dayeeh, Jihad Jarraha and Kailash C. Madan (2003) : ‘LRT Conjecture for Bivariate Normal’, Applied Math and Computation [Netherland], Vol.145, No.1, pp 73-84.
  42. Madan, Kailash C., Walid Abu-Dayyeh and Firas Tayyan (2003) : ‘A Two-Server Queue with Bernoulli Schedules and a Single Vacation Policy’, Applied Math and Computation [Netherland], Vol. 145, No. 1, pp 59-71.
  43. Madan, Kailash C. and Walid Abu-Dayyeh (2003) : ‘Steady State Analysis of a Single Server Bulk Queue with General Vacation times and Restricted Admissibility of Arriving batches ’, ‘Revista Investigacion Operacional’ [Cuba] , Vol. 24 No. 2, pp 113-123. Walid Abu-Dayyeh and Madan, Kailash C. (2002): ‘ Sufficient Conditions for Admissibility in Case of Two Sided Alternatives for the Exponential Family Models” ‘, Journal of Statistical Theory and Applications [USA], Vol. 1, No. 4, 2002, pp 263-269.
  44. Madan, Kailash C., Walid Abu-Dayyeh and M F. Saleh (2002): ‘ An M/G/1 Queue with Second Optional Service and Bernoulli Schedule Server Vacations’, Systems Science [Poland],Vol. 28, No. 3, pp. 51-62, 2002.   Madan Kailash C. (2002): Two Types of Sequential-cum-Parallel General Optional Service in a Single Server Queue’, Egyptian Statistical Journal (Egypt). Vol. 46, No. 1, pp 92-105.
  45. Madan, Kailash C (2002) : ‘Balking Phenomenon in the M/G/1 Vacation Queue’, Journal of the Korean Statistical Society [Korea]. Vol. 31, Number 4, pp 1-17.
  46. Jehad Al-Jararha and Madan, Kailash C. (2002) : ‘Steady State Analysis of an M/D/1 Queue with Coxian-2 Server Vacations and a Single Vacation Policy’, International Journal of Information and Management Sciences [Taiwan], Vol. 13, Number 4, pp 69-81.
  47. Madan, Kailash C. and Baklizi, A. (2002) : ‘An M/G/1 Queue with Additional Second Stage Service and Optional Re-Service’, International Journal of Information and Management Sciences [Taiwan], Vol. 13, No. 4, pp. 13-31.
  48. Kailash C. Madan and Ayman Baklizi (2002) : ‘An M/(G1,G2)/1 Queue with Optional Re-Service’, Stochastic Modelling and Applications [India], Vol. 5, No. 1, pp 27-39.
  49. Madan, Kailash C. and Hani, M. Samawi (2002) : ‘Steady State Analysis of an M/D/1 Queue with Two Stages of Heterogeneous Server Vacations ( M/D/G1,G2/1’, ‘Revista Investigacion Operacional’ ,[Cuba] , Vol. 23, No. 2, pp 150-163.
  50. Madan, Kailash C. and Walid Abu-Dayyeh (2002) : ‘Restricted Admissibility of Batches into an M/G/1 Type Bulk Queue with Modified Bernoulli Schedule Server Vacations ’, ‘ESAIM P &S ‘ , [France], Vol. 6, pp 113-125.
  51. Madan, Kailash C. (2002) : ‘An M//1 Queue with Long and Short Server Vacations’, ‘Acta Ciencia Indica’ [India], Vol. XXVIII M, No. 1, pp 17- 26.   Madan, Kailash C. (2001): ‘On an M/G/1 Queue with General Bernoulli Schedule Server Vacations’, Journal of Statistical Studies [Bangladesh] , Vol.21, December 2001, pp 33-40.
  52. Madan, Kailash C. and Mohammad F. Saleh (2001) : ‘On an M/D/1 Queue with Deterministic Server Vacations’, Systems Science Journal [Poland], Vol. 27, No. 2, pp. 107-118.
  53. Madan, Kailash C. and Saleh M.F. (2001) : ‘On Single Server Vacation Queues with Deterministic Service or Deterministic Vacations’, ‘Calcutta Statistical Association Bulletin’, [India], Vol. 51, Nos. 203-204, pp 225-241.
  54. Madan, Kailash C. and Saleh M.F. (2001) : ‘On M/D/1 Queue with General Server Vacations’ International Journal of Management and Information Sciences’, [Republic of China], Vol. 12, No. 2, pp 25-37.
  55. Madan, Kailash C. (2001) : ‘On a Single Server Queue with Two-Stage Heterogeneous Service and Deterministic Server Vacations’, International Journal of System’s Science [U.K.], Vol. 32, Number 7, pp 837-844.
  56. Madan, Kailash C. (2000) : ‘On a Single Server Queue with Two-Stage Heterogeneous Service and Binomial Schedule Server Vacations’, Egyptian Statistical Journal [Egypt],Vol. 40, No. 1, pp 39-55.
  57. Madan, Kailash C. (2000) : ‘An M/G/1 Queue with Second Optional Service’,  Queueing Systems [USA], 34, 37-46.
  58. Madan, Kailash C. (2000) : ‘An M/M/1 Queueing System with Interrupted Arrival Stream’, Revista Investigacion Operacional [Cuba], Vol. 21, No. 1, pp 35-40.
  59. Madan, Kailash C. (1999) : ‘An M/G/1 Queue with Optional Deterministic Server Vacations’, Metron, [Italy], vol. LVII, no. 3-4, 83-95.
  60. Madan, K.C. (1998) : ‘Steady State Behaviour of an M(x)/M(b)/l Queue with Correlated Arrivals’, Acta Ciencia Indica, [India], Vol. XXIV M, No. 4, 311-316.
  61.  Madan, K.C. (1998) : ‘ASingle Queue with Mutually Repacing m Servers’, Revista Columbiana de Estadistica, [Columbia, South America], Vol. 22, No. 1, pp 1-8.
  62. Madan, K.C. (1997) : ‘Correlated Selection for Service in a Single Server Queue with Two Classes of Customers’, Internat. J. Management and Information Sciences, [Republic of China], Vol. 8, No. 4, pp 1-10.
  63. Madan, K.C. (1996) : ‘On a Vacation Queue with Instantaneous Customer Loss’, Microelectronics and Reliability, [England], Vol. 36, No. 2, pp 179-   188.
  64. Madan, K.C. (1996) : ‘A single Server Queue with Two Types of Units and Randomly Changing Priorities’, Acta Ciencia Indica, [India], Vol. XXI, part III, pp 299-305.
  65. Madan, K.C. (1995) : ‘A Bulk Input Queue with a Stand-by’, South Africa Statistical Journal, [South Africa], Vol. 29, No. 1, pp 1-7.
  66. Madan, K.C. (1995) : ‘On a Vacation Queue with Two parallel Servers Each Equipped with a Stand-By’, Revista Columbiana de Estadistica, [Columbia, South America], Nos. 29/30, pp 21-30.
  67. Madan, K.C. and Arora, M.S. (1994) : ‘On a M[x]/M[b]/l Queueing System with Correlated Server Vacations’, International Journal of Management and Information Sciences’ [Formerly, Tamkang Journal of Management Sciences], [Republic of China], Vol. 5, No.3, pp23-33.
  68. Madan, K.C. (1994) : ‘On a Queueing System with Random Failures and Delayed Repairs’, Journal of The Indian Statistical Association, [India], Vol. 32, pp 39-48.
  69.   Madan, K.C. (1994) : ‘An M/G/l Queueing System with Additional Optional Service and No Waiting Capacity’, Microelectronics and Reliability, [England], Vol. 34, No. 3, pp 521-527.
  70. Madan, K.C. (1994) : ‘A Queueing System with Three Service Channels in Tandem and Two-Sided Arrivals’, Soochow Journal of Mathematics, [Republic of China], Vol. 20, No. 1, pp 11-19.
  71. Madan, K.C. (1993) : ‘Balking and Reneging in a Vacation Queueing Model’, Revista Columbiana de Estadistica, [Columbia, South America], Vol. 28, pp 1-11.
  72. Madan, K.C. (1992) : ‘An M/G/l Queueing System with Compulsory Server Vacations’, Trabajos de Investigacion Operativa, [Spain], Vol. 7, No. 1, pp 100-110.
  73. Madan, K.C. (1992) : ‘An a M/M/l Queueing System with Additional Optional Service in Batches’, IAPQR Transactions, Journal of the Indian Association of Productivity, Quality and Reliability, [India], Vol. 17, No. 1, pp 23-33.
  74. Madan, K.C. (1992) : ‘A Bulk Queueing System with Random Failures and two Phase Repairs’, Microelectronics and Reliability, [England], Vol. 32, No.5, pp 669-677.
  75. Madan, K.C. (1991) : ‘On a M[x]/M[b]/l Queueing System with General Vacation Times’, International Journal of Management and Information Sciences, [Republic of China], Vol. 2, No. 1, pp 51-60.
  76. Madan, K.C. (1991) : ‘A Queueing System with Two types of Failures and Priority for Vital repairs ‘, Journal of M.A.C.T., [India], Vol. 25,, pp 25-43.
  77. Madan, K.C. (1991) : ‘A Single Server Bulk Input Queue with Two Kinds of Service’, Acta Ciencia Indica, [India], Vol. XVII, M, 1, pp 25-32.
  78. Madan, K.C. (1990) : ‘A Two Server Queue with Correlated Availability of Services’, J. Indian Soc. Stat. Oper. Res., [India], Vol. XI, No. 1-4, pp 11-19.
  79. Madan, K.C. (1989) : ‘Time-Dependent Behaviour of a Single Channel Queu with Fluctuating Efficiency’, Tamkang Journal of Managment Sciences, [Republic of China], Vol. 10, No.2, pp 71-80.
  80. Madan, K.C. (1989) : ‘A Single Channel Queue with Bulk Service Subject to Interruptions’, Microelectronics and Reliability, [England], Vol. 29, No.5, pp 813-818.
  81. Madan, K.C. (1988) : ‘A Cyclic Queueing System with Three Servers and Optional Two-Way Feedback’, Microelectronics and Reliability, [England], Vol. 28, No.6, pp 873-875.
  82. Madan, K.C. (1976) : ‘Interrupted Service Queueing with Arrivals and Departures in Batches of Variable Size and General Repair Time Distribution’, Zeitschrift Mathematische Operationsforeschung und Statistiek Berlin, [Presently named as ‘Statistics’] [Germany], 7, Heft 1, S. pp. 139-149.
  83. Madan, K.C. (1975) : ‘On a Certain Type of Network of Queues’, Journal of Applied Probability, [England], Vol. 12, pp 195-200.
  84. Madan, K.C. (1973) : ‘A Priority Queueing System with Service Interrutions’, Statistica Neerlandica, [Netherlands], Vol. 27, No.3, pp 115-123.
  85. Madan, K.C. (1972) : ‘A Queueing System with Service Interruptions ‘, Revue Roumaine de Mathematiques Pure et Appliques, [Romania], Tome XVII , No.5, pp 741-755. Books, Chapters Published
  86. Chopra, S. D. and Madan, K. C., ‘Mathematics for Middle Schools’, Book II,     Part II, National Council of Educational Research and Training, India, pp. 215-394, 1978. (Editors: Arora, Manmohan, S. and Mahendra Shanker)
  87. Chopra, S. D. and Madan, K. C., ‘Mathematics for Middle Schools’, Book III, Part II, National Council of Educational Research and Training, India, pp. 161-   326, 1979. (Editors: Gupta, R. P. and Mahendra Shanker
  88. Das, S. C., Dhall, G. D., and Madan, K. C., et al ‘A Textbook of Mathematics for Classes XI-XII’, Book V, National Council of Educational Research and Training, India, pp. 1-156, 1980. (Editor: Das, S. C.)
  89. Contributed one chapter or provided assistance in editing the following books:  ‘A Textbook for Middle Schools’, Book 1, Part 1, National Council of Educational Research and Training, India, 1978.  ‘A Textbook for Secondary Schools’ Part II, National Council of     Educational Research and Training, India, 1978.  ‘A Textbook of Mathematics for Classes XI-XII’, Book 1, National Council of       Educational Research and Training, India, 1979.  ‘A Textbook of Mathematics for Classes XI-XIII’, Book 1, National Council of Educational Research and Training, India, 1979.  ‘A Textbook of Mathematics for Classes XI-XII’, Book IV, National Council of Educational Research and Training, India, 1979.

 

 

Papers Published in International Conferences Proceedings

INTERNATIONAL CONFERENCES ATTENDED/ Papers Published in Conference Proceedings 

  1. Chaired a Session and presented the following paper in ‘Third Eurasian Conference on Mathematical Sciences and Applications’ held on 25-28 August 2014 at Vienna, Austria: ‘A batch arrival single server queue with generalized Coxian-2 service and optional generalized Coxian-2 vacations’ Paper accepted to be published in the conference proceedings. (To Appear) 
  2. Chaired a Session and presented the following paper in the International Conference on Econometrics, Operations Research and Statistics (ICEORS 2013) organized by WASET (World Congress on Science, Engineering and Technology ) held on 30-31 July 2013 at Zurich, Switzerland: ‘On an M(x)/G/1 Queuewith Random Time-Homogeneous System failuresand Reneging During Breakdown Periods’ Paper published in WASET conference proceedings , Issue 79, 2013, pp. 2168-2174.
  3. Chaired a Session and presented the following paper in the International Conference on Mathematical, Computational, Statistical Science and Engineering (ICMCSSE 2012) organized by WASET (World Congress on Science, Engineering and Technology ) held on 28-29 August 2012 at Kuala Lumpur, Malaysia: ‘A Batch Arrival Single Server Queue with General Service Times, Random Time-Homogeneous failures and General Delay Times’ Paper published in WASET conference proceedings , 2012, pp. 1697-1706.
  4. Served as a member of the International Technical Advisory Committee for the International Conference on Mathematical Modeling and Applied Soft Computing, organized by Coimbatore Institute of Technology, held on July 11-13, 2012 at Coimbatore, India.   WASET (World Congress on Science, Engineering and Technology) Conference paper entitled ‘Steady State Analysis of M(x)/G/1 Queue with Bernoulli Schedule General vacations, Random Breakdowns and Exponential Repair Times with Delay’ jointly authored by Rehab F Khalaf, Kailash C. Madan and Cormac A. Lucas presented by Rehab Khalaf in the conference held in Paris, France on 28-30 June 2010. Paper published in WASET conference proceedings 66, 2010, pp. 2798-2812.
  5. Sixth International Conference on Operations Research Organised by World Congress on Science, Engineering and Technology (WCSET) held in Penang, Malaysia from February 25- 27, 2009: ‘On a Batch Arrival Queue with   Exponential Service in Batches of Variable Size , Time-Homogeneous Random Breakdowns, General (Arbitrary) Delay Time and General (Arbitrary) Repair Time’, Vol. 38, pp 1399-1411, February 2009.
  6. Participated and Served as a Member of the Supreme Organizing Committee for the International Conference on ‘Higher Education in the Twenty-First Century-Isuues and Challenges’ Organised by Ahlia University, Bahrain at the Kingdom of Bahrain on June 3-4, 2007
  7.  Member of the Scientific Program Committee and the Reception/Registration Committee for the International Conference on Pure and Applied Mathematics (ICPAM 1995) held at the University of Bahrain, Bahrain from November 19-23, 1995. Also presented the following paper: ‘A Single Server Queue with Statistically Dependent Long and Short Server Vacations’.
  8. Participated in 23rd conference on Stochastic Processes and Their Applications held the National University of Singapore, Singapore from June 19-23, 1995 and presented the following paper: ‘An m-server Queue with correlated availability of Servers’.
  9. Participated in EURO XIII / OR 36 Conference held at the University of Strathclyde, Scotland, from July 19-22, 1994 and presented the following paper: ‘Reneging in a Bulk Input Vacation Queue’.         (Invited Speaker)
  10. Participated in 22nd Conference on Stochastic Processes and their Applications, held at Vrije Universiteit, Amsterdam, The Netherlands from June, 21-21, 1993 and presented the following paper: ‘An M/G/l Queueing System with Compulsory Server Vacations’.
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