Dr. Mohan Chaudhry Professor

Department of Mathematics & Computer Science

Papers published in refereed scholarly journals

• “Computational analysis of stationary waiting-time distributions of GIX/R/1 and GIX/D/1 queues”. Probability in the Engineering and Informational Sciences 19, pp. 121-140, 2005. With D.W. Choi and K.C. Chae.
• “An invariance relation and a unified method to derive stationary queue lengths”. Operations Research 52, 756-764, 2004. With Nam K. Kim and Kyung C. Chae.
• “On discrete-time multi-server queues with finite buffer: GI/Geom/m/N”.  Computers and Operations Research 31, 2137-2150, 2004. With U. C. Gupta and V. Goswami.
• “Complete analytic and computational analyses of the discrete-time bulk-arrival infinite-server system: GIX/Geom/¥”. Computers and Operations Research 31, 2119-2135, 2004.  With Jin Dong Kim.
• “Analysis of the discrete-time bulk-service queue Geo/GY/1/N+B”. OR letters 32, 355-363, 2004.  With S. H. Chang.
• “Queue length distributions at various epochs in discrete-time D-MAP/G/1/N queue and their numerical evaluation”. International Journal of Information and Management Sciences, 14, 67-83, 2003. With U. C. Gupta.
• “In memory of JGC Templeton”. Queueing Systems 45, 281-283, 2003. Also, CORS Bulletin 37, 25-27, 2003.
• “A complete and simple solution for a discrete-time multi-server queue with bulk-arrivals and deterministic service times”. OR letters 31, 101-107, 2003. With Nam K. Kim.
•  “Waiting-time distribution of discrete-time multi-server queue with correlated arrivals and deterministic service times: D-MAP/D/K”. OR letters 30, 174-180, 2002. With Bonk K. Yoon and Kyung C. Chae
• “Analysis of a finite-buffer bulk-service queue with discrete Markovian arrival process: D-MAP/Ga,b/1/N”. Naval Res. 50, 345-363, 2003.  With U.C. Gupta.
• “Relations among the distributions at different epochs for discrete-time GI/Geom/m and continuous-time queueing”, IJIMS,  71-82, 2001. With U.C. Gupta and V. Goswami.
• “Computing waiting-time probabilities in the discrete-time queue: GI(X)/G/1.” Perf. Eval, 43, 123-131, 2001. With U.C. Gupta.
• “Modeling and analysis of discrete-time multiserver queues with batch arrivals: GIX/Geom/m,” INFORMS J. on Computing, 13, 172-180, 2001. With U.C. Gupta and V. Goswami.
• “Transient solution for the number of busy servers for the discrete-time queue GeomX/G/4 . Sankhy~, 62, . 1-13, 2000.
• “Algorithmic discussions of numbers of busy channels for GI/Geom/m/m queues. INFOR 38, . 51-63, 2000. With U.C. Gupta.
• “Modelling and analysis of M/Ga,b/1/N queue - a simple alternative approach”, Queueing Systems, 31, . 95-100, 1999. With U.C. Gupta
• “Transient solutions of multiserver queueing systems with finite spaces”, Int. Trans. in OR, 6, . 161-182, 1999. With Y.Q. Zhao.
• “On the steady-state distribution of number in the queue Geom/G/1", Prob. in the Engineering and Informational Sciences, 13, pages 121‑125, 1999.
• “Performance analysis of discrete-time finite-buffer batch-arrival GIX/Geom/1/N queues”, Discrete Event Dynamic Systems 8, pages 55-70, 1998, with U.C. Gupta.
• “Queue-length and waiting time distributions of discrete-time GIX/Geom/1 queueing systems with early and late arrivals”, Queueing Systems, 25, . 307-334, 1997.  With U.C. Gupta
• "On the steady-state queue size distributions of the discrete-time GI/G/1 queue," Adv. Appl. Prob., 28, . 1177-1200, 1996. With Tao Yang.
• "Analysis of the discrete-time GI/Geom(n)/1/N queue".  Computers Math. Applic., 31, . 59-68, 1996. With J.G.C. Templeton and U.C. Gupta.
• "On the discrete-time GI/Geom/1 queue". Operations Research Letters, 18, . 247-255, 1996.   With U.C. Gupta and J.G.C. Templeton.
• "On the analysis of the discrete-time Geom(n)/G(n)/1/N queue". Prob. in Eng. & Infor. Sc., 10, . 415-428, 1996.  With U.C. Gupta.
• "Performance analysis of the discrete-time GI/Geom/1/N queue", J. Applied Prob., 33, . 239-255, 1996.  With U.C. Gupta.
• "On computations of the mean and variance of the number of renewals:  A unified approach", J. Opl. Res. Soc. 46, 1352-1364, 1995.
• "First-passage-time and busy-period distributions of discrete-time Markovian queues:  Geom(n)/Geom(n)/1/N", Queueing Systems 18, 5-26, 1994. (Invited paper for the special issue of Queueing Systems)
• "Exact and approximate numerical solutions of steady-state single-server bulk-arrival discrete-time queues GeomX/G/1." Int. J. of Math & Statist. Sci. 62, . 133-185, 1993. (Invited paper.)
• "Alternative numerical solutions of stationary queueing-time distributions in discrete-time queues:  GI/G/1".  Jl. Opl. Res. Soc. 44, . 1035-1051 1993.
• "Computing steady-state queueing time distribution of single-server queues:  GIX/M/1",  ZOR 37, . 13—29, 1993. With M. Agarwal and J.G.C. Templeton.
• "Computing stationary queueing-time distributions of GI/D/1 and GI/D/C queues,"  Naval Res Log. 39, . 975-996, 1992.
• "Exact computational analysis of waiting‑time distributions of  single‑server bulk‑arrival queues  MX/G/1".   Europ. J. of Opns. Res. 63, . 445-462, 1992.  With U.C. Gupta.
• "Computational analysis of multiserver bulk‑arrival queues with constant service time  MX/D/C".   ORSA 40, . 229-238 (Supp. 2), 1992.  With J.G.C. Templeton and J. Medhi.
• "Computational aspects of bulk‑service queueing system with variable capacity and finite waiting space: M/GY/1/N + B".   J. Opns. Res. Soc.,  Japan, 34, . 404-421, 1992.  With U.C. Gupta and B.R. Madill.
• "Computational analysis of the distribution of number in the system MX/G/1" ‑ An alternative approach.   INFOR, 30, . 30-42, 1992.   With U.C. Gupta and M. Agarwal.
• "Exact and approximate numerical solutions of steady-state distributions arising in the queue GI/G/1" -  Queuing Systems, 10, . 105-152, 1992.  With M. Agarwal and J.G.C. Templeton. (Invited Paper)
• "Exact and approximate solutions to steady-state single-server queues:  M/G/1 - a unified approach."   Queuing Systems, 10. 351-380, 1992.   With U.C. Gupta and M. Agarwal.
• "Detailed computational analysis of buffer behavior with Poisson arrivals and bulk geometric service."   SCIMA, . 33-43, 1991.   With U.C. Gupta.
• "Numerical issues in computing steady-state queueing-time distributions of single-server bulk-service queues:  M/Gb/1 and M/Gd/1".  ORSA J. on computing 4, 300-310, 1991.
• "On exact computational analysis of distributions of numbers in system for  M/G/1/N + 1  and  GI/M/1/N + 1  queues using roots."  Comput. & Opns. Res., Vol. 18, . 679-694, 1991.  With M. Agarwal and U.C. Gupta.
• "Robustness of root‑finding in queueing".  ORSA Journal on Computing, 2, 273‑286, 1990.  With C.M. Harris and W.G. Marchal.
• "Computational analysis of single‑server bulk‑service queues ‑  M/GY/1"  ‑ Advances in Applied Probability 21, 207‑225, 1989.   With G. Brière.
• "Computational Analysis of single‑server bulk‑arrival queue MX/G/1" ‑ Compt. & Opns. Res. 15, 283‑292, 1988.  With G. Brière.
• Letter to the editor of Tamkang journal of Management Sciences, vol. 9, 41, 1988.
• Errata:  "Analyzing the steady‑state queue  GIX/G/1"  ‑ J. Oper. Res. Soc.,   1987. With D. Yao and J.G.C. Templeton.
• Letter to the editor ‑ Policy and Information 11, 129, 1987.
• "On a two‑heterogeneous‑server Markovian queue with general bulk service rules" ‑  Sankhyā: TIJS, 49, Ser. B, 36‑50, 1987.  With J. Medhi, S.H. Sim, and J.G.C. Templeton.
• "Relations among moments of waiting time and queue size distributions in bulk queueing systems" ‑ Cal. Statist. Assoc. Bulletin 36, 63‑68, 1987.   With S. Madan and A. Ghosal.
• "Software package for the queueing system  MX/G/1",  Oper. Res. Letters 6, 195‑196, 1987.   With Alnoor Hasham.
• "Computational analysis of single‑server bulk‑arrival queues: GIX/M/1" ‑ QUESTA vol. 2, 173‑185, 1987.  With  G. Brière.
• "Computational analysis of steady‑state probabilities  of M/Ga,b/1  and related non-bulk queues" ‑  QUESTA, vol. 2, 93‑113, 1987. With B.R. Madill and G. Brière.( Invited paper)
• "Numerical analysis for a bulk‑arrival queueing system: root finding and steady‑state probabilities in  GIR/M/1 queues"  ‑ Annals of Opns. Res., vol. 8, 307‑320, 1987.  With J.L. Jain and J.G.C. Templeton.
• "On the form of the system size distribution for some bulk‑arrival queueing systems" ‑ SCIMA, vol. 16.   With A. Ghosal,  B.R.K. Kashyap and S. Madan, 1987.
• "Probabilities and some measures of efficiency in the queueing system  GI/Ma,b/1" ‑ Selecta Statistica Canadiana VII, 53‑75, 1987.  With B.R. Madill.
• "Waiting time distributions in the queueing system  GI/Ma,b/1" ‑ INFOR, vol. 24 , 309‑318, 1986.
• Rejoinder to Neuts' letter ‑ Comput. & Opns. Res., vol. 13, 735‑736, 1986.
• "On the Diophantine queueing system  D/Da,b/1" ‑  J. Oper. Res. Soc., vol. 36,  531‑535, 1985.  With B.R. Madill and P.G. Buckholtz.
• "A single‑server bulk‑service queue with variable capacity and Erlang input" ‑ INFOR, vol. 23, 196‑204, 1985. With N.S. Kambo.
• "On distributions of waiting and idle times of two related bulk‑service  queues" ‑ Sankhya~ vol. 46, 1‑9, 1984. With N.S. Kambo.
• "On two bulk‑service queueing models" ‑ J. Infor. Opt. Sci.,  vol. 5,  279‑292, 1984.  With N.S. Kambo.
• "Distribution of busy period for the bulk‑service queueing system Ek/Ma,b/1" ‑ Comput. and Ops. Res., vol. 11, 267‑274, 1984.  With N.S. Kambo.
• "Analyzing the Steady‑State Queue  GIX/G/1" ‑ J. Op. Res. Soc.,   vol. 35, 1027‑1030, 1984.  With D. Yao and J.G.C. Templeton.
• "Some numerical results for the queuing system GIX/M/1"  ‑  Euro. J. Operat. Res., vol. 18, 133‑136, 1984.  With M.J.M. Posner and G.D. Easton.
• "Some corrected results for the queue GIX/M/1" ‑ Euro. J. Operat. Res., vol. 18, 131-132, 1984.  With G.D. Easton and M.J.M. Posner.
• "A note on some relations in the queue  GIX/M/c" ‑ Operat.  Res. Letters, vol. 3, 53‑55, 1984. With D. Yao and J.G.C. Templeton.
• "On bounds for bulk‑arrival queues" ‑ Europ. J. Operat. Res., vol. 15, 237‑243, 1984.  With D. Yao and J.G.C. Templeton.
• "On the number in the non‑homogeneous service system  MX/M(t)/4 ",  Opsearch, vol. 20, 167‑169, 1983.  With B.R.K. Kashyap.
• "On the service system MX/G/4 " ‑ Europ. J. Operat.  Res., vol. 13, 142‑145, 1983.  With D.F. Holman and B.R.K. Kashyap.
• "A new method to solve steady‑state queueing equations" ‑ Naval  Res.  Logist. Quart., vol. 29, 461‑473, 1982. With W.K. Grassmann.
• "On the number in the system GIX/M/4 "  ‑ Sankhy~ vol. 44, Ser. A, pt. 1, 294‑297, 1982.  With D.F. Holman and B.R.K. Kashyap.
• "The queueing system Ek/Ma,b/1 and its numerical analysis" ‑ Comput. and Ops. Res., vol. 9, 197‑205, 1982.  With G.D. Easton.
• "Some results for the general bulk service queueing system" ‑ Bull.  Austral. Math. Soc., vol. 23, 161‑179, 1981.  With D.F. Holman and  A. Ghosal.
• "The queueing system M/GB/1 and its ramifications" ‑ Europ. J. Operat., Res.,   vol. 6, 56‑60, 1981.
• "Some results for the queueing system EkX/M/c" ‑ Naval Res. Logist. Quart., vol. 2, 217‑222, 1980. With D.F. Holman and W.K. Grassmann.
• "Further results for the queueing system  MX/M/c" ‑ J. Oper. Res.  Soc., vol. 30, 755‑763, 1979. With M.V. Cromie and W.K. Grassmann.
• "The queueing system MX/G/1, and its ramifications" ‑ Naval Res. Logist., vol. 26, 667‑674, 1979. With M V Cromie and W K Grassmann
• "Analytically explicit results for the queueing system M/MX/c  with charts and tables for certain  measures of efficiency" ‑ Oper. Res. Quart., vol. 27, 733‑745, 1976.   With M.V. Cromie.
• "Transient/steady‑state solution of a single channel queue with bulk  arrivals and intermittently available server" ‑ ZMOS, vol. 5,  307‑314, 1974.
• "Bounds for the least positive root of a characteristic equation" ‑  INFOR, vol. 11, 177‑179, 1973. With J.G.C. Templeton.
• "On the discrete‑time queue length distribution under Markov‑dependent phases" ‑ Naval. Res. Logist. Quart., vol. 19, 369‑378, 1972.
• "A note on the distribution of a busy period for  M/M/c  queuing system" ‑ Mathemat. Operations. Stat., vol. 4, 75‑79, 1973.  With J.G.C. Templeton.
• "Single channel constant capacity bulk service queuing process with an intermittently available server" ‑ INFOR, vol. 10, 284‑291, 1972.  With A.M. Lee.
• "The theory of bulk‑arrival bulk‑service queues" ‑ Opsearch, vol. 9, 103‑121, 1972. With J.G.C. Templeton.  (This is an extended study, which unifies the results of many authors.)
• "On the discrete‑time queue length distribution in a bulk service  system  considering correlated arrivals" ‑ J. of the Canad. Operat.  Res. Soc., vol. 6, 79‑88, 1968.
• "Queuing problems with correlated arrivals and service through parallel channels"‑ J. of the Canad. Operat. Res. Soc., vol. 5, 35‑46, 1967.
• "Limited space queuing with arrivals correlated" ‑ J. of the Roy. Nav. Scient. Service, vol. 21, 272‑278, 1966.
• "Some queueing problems with phase‑type service" ‑ Opns. Res., vol. 14,466‑477, 1966.
• "Correlated queueing" ‑ J. of the Canad. Operat. Res. Soc., vol. 3,  142‑151, 1965.

Abstracts:

• "Teaching and research in Statistics and their numerical analysis" ‑   abstracted in Calcutta Association Bulletin 30, 223‑224, 1981.
• "Synthesis of some bulk queueing systems and their numerical analysis"  ‑  abstracted in the Souvenir edition of the 3rd Annual conference of the Indian Society for theory of probability and its applications,  August 22‑24, 1981.