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Optimal design and control of queues

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  • Lotfi Tadj
  • Gautam Choudhury

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  • Lotfi Tadj & Gautam Choudhury, 2005. "Optimal design and control of queues," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 13(2), pages 359-412, December.
  • Handle: RePEc:spr:topjnl:v:13:y:2005:i:2:p:359-412
    DOI: 10.1007/BF02579061
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    References listed on IDEAS

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    1. Yonatan Levy & Uri Yechiali, 1975. "Utilization of Idle Time in an M/G/1 Queueing System," Management Science, INFORMS, vol. 22(2), pages 202-211, October.
    2. Warren B. Powell & Pierre Humblet, 1986. "The Bulk Service Queue with a General Control Strategy: Theoretical Analysis and a New Computational Procedure," Operations Research, INFORMS, vol. 34(2), pages 267-275, April.
    3. Howard J. Weiss, 1979. "The Computation of Optimal Control Limits for a Queue with Batch Services," Management Science, INFORMS, vol. 25(4), pages 320-328, April.
    4. K. R. Balachandran, 1973. "Control Policies for a Single Server System," Management Science, INFORMS, vol. 19(9), pages 1013-1018, May.
    5. Israel Brosh, 1970. "The Policy Space Structure of Markovian Systems with Two Types of Service," Management Science, INFORMS, vol. 16(9), pages 607-621, May.
    6. Matthew J. Sobel, 1969. "Optimal Average-Cost Policy for a Queue with Start-Up and Shut-Down Costs," Operations Research, INFORMS, vol. 17(1), pages 145-162, February.
    7. Samuli Aalto, 1998. "Optimal control of batch service queues with compound Poisson arrivals and finite service capacity," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 48(3), pages 317-335, December.
    8. Nobel, Rein D. & Tijms, Henk C., 1999. "Optimal control for an MX/G/1 queue with two service modes," European Journal of Operational Research, Elsevier, vol. 113(3), pages 610-619, March.
    9. Thomas B. Crabill, 1974. "Optimal Control of a Maintenance System with Variable Service Rates," Operations Research, INFORMS, vol. 22(4), pages 736-745, August.
    10. U. Narayan Bhat & S. Subba Rao, 1972. "A Statistical Technique for the Control of Traffic Intensity in the Queuing Systems M / G /1 and GI / M /1," Operations Research, INFORMS, vol. 20(5), pages 955-966, October.
    11. Kuo-Hsiung Wang & Ya-Ling Wang, 2002. "Optimal control of an M/M/2 queueing system with finite capacity operating under the triadic (0,Q,N,M) policy," The Annals of Regional Science, Springer;Western Regional Science Association, vol. 55(3), pages 447-460, June.
    12. J. Artalejo, 1999. "A classified bibliography of research on retrial queues: Progress in 1990–1999," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 7(2), pages 187-211, December.
    13. Kuo-Hsiung Wang & Ya-Ling Wang, 2002. "Optimal control of an M/M/2 queueing system with finite capacity operating under the triadic (0,Q,N,M) policy," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 55(3), pages 447-460, June.
    14. Teghem, J., 1986. "Control of the service process in a queueing system," European Journal of Operational Research, Elsevier, vol. 23(2), pages 141-158, February.
    15. Colin E. Bell, 1971. "Characterization and Computation of Optimal Policies for Operating an M / G /1 Queuing System with Removable Server," Operations Research, INFORMS, vol. 19(1), pages 208-218, February.
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    Cited by:

    1. A. Krishnamoorthy & P. Pramod & S. Chakravarthy, 2014. "Queues with interruptions: a survey," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 22(1), pages 290-320, April.
    2. Terekhov, Daria & Christopher Beck, J., 2009. "An extended queueing control model for facilities with front room and back room operations and mixed-skilled workers," European Journal of Operational Research, Elsevier, vol. 198(1), pages 223-231, October.
    3. Sanga, Sudeep Singh & Charan, Gannamaneni Sai, 2023. "Fuzzy modeling and cost optimization for machine repair problem with retrial under admission control F-policy and feedback," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 211(C), pages 214-240.
    4. Dong-Yuh Yang & Po-Kai Chang, 2015. "A parametric programming solution to the -policy queue with fuzzy parameters," International Journal of Systems Science, Taylor & Francis Journals, vol. 46(4), pages 590-598, March.
    5. Zhang, Xuelu & Wang, Jinting & Do, Tien Van, 2015. "Threshold properties of the M/M/1 queue under T-policy with applications," Applied Mathematics and Computation, Elsevier, vol. 261(C), pages 284-301.
    6. Daria Terekhov & J. Christopher Beck & Kenneth N. Brown, 2009. "A Constraint Programming Approach for Solving a Queueing Design and Control Problem," INFORMS Journal on Computing, INFORMS, vol. 21(4), pages 549-561, November.
    7. Tirdad, Ali & Grassmann, Winfried K. & Tavakoli, Javad, 2016. "Optimal policies of M(t)/M/c/c queues with two different levels of servers," European Journal of Operational Research, Elsevier, vol. 249(3), pages 1124-1130.
    8. Mouloud Cherfaoui & Aicha Bareche, 2020. "An optimal approximation of the characteristics of the GI/M/1 queue with two-stage service policy," Operational Research, Springer, vol. 20(2), pages 959-983, June.
    9. Zhang, Hong & Akuamoah, Saviour Worlanyo & Georgescu, Paul, 2020. "A flow model of corporate activities with quality assurance," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 549(C).
    10. Bu, Qihui & Sun, Yun & Chai, Xudong & Liu, Liwei, 2020. "Strategic behavior and social optimization in a clearing queueing system with N-policy and stochastic restarting scheme," Applied Mathematics and Computation, Elsevier, vol. 381(C).
    11. Doǧan A. Serel & Erdal Erel, 2008. "Coordination of staffing and pricing decisions in a service firm," Applied Stochastic Models in Business and Industry, John Wiley & Sons, vol. 24(4), pages 307-323, July.
    12. Garcia-Sanz, M.D. & Fernandez, F.R. & Fiestras-Janeiro, M.G. & Garcia-Jurado, I. & Puerto, J., 2008. "Cooperation in Markovian queueing models," European Journal of Operational Research, Elsevier, vol. 188(2), pages 485-495, July.
    13. Rani, Shobha & Jain, Madhu & Meena, Rakesh Kumar, 2023. "Queueing modeling and optimization of a fault-tolerant system with reboot, recovery, and vacationing server operating under admission control policy," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 209(C), pages 408-425.
    14. Renbin Liu & Attahiru Sule Alfa & Miaomiao Yu, 2019. "Analysis of an ND-policy Geo/G/1 queue and its application to wireless sensor networks," Operational Research, Springer, vol. 19(2), pages 449-477, June.
    15. Jau-Chuan Ke & Yunn-Kuang Chu, 2009. "Notes of M/G/1 system under the $${\langle p, T \rangle}$$ policy with second optional service," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 17(4), pages 425-431, December.
    16. Chou, Yon-Chun & Lin, Yue-Lan & Chun, King-Fai, 2014. "A construction of knowledge rules for reactive planning of job-mix assignment to homogeneous serial batch machines," International Journal of Production Economics, Elsevier, vol. 151(C), pages 56-66.
    17. P. Rajadurai & V. M. Chandrasekaran & M. C. Saravanarajan, 2016. "Analysis of an M[X]/G/1 unreliable retrial G-queue with orbital search and feedback under Bernoulli vacation schedule," OPSEARCH, Springer;Operational Research Society of India, vol. 53(1), pages 197-223, March.

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