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Control Policies for a Single Server System

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  • K. R. Balachandran

    (Georgia Institute of Technology)

Abstract

The paper deals with two parametric control policies for a single service facility when the arrivals are distributed as Poisson and the service durations have a general distribution. The N-policy is to turn on the server (i. e., open the service channel for service) when the queue size reaches the number N and turn him off when the system is empty. The D-policy is to turn on the server when the total work to be done reaches the value D instead. The optimum policies are compared for both the policies when the costs assumed are linear. It is shown that for constant service the optimal policies are equivalent and for exponential service the D-policy is not superior to the N-policy.

Suggested Citation

  • K. R. Balachandran, 1973. "Control Policies for a Single Server System," Management Science, INFORMS, vol. 19(9), pages 1013-1018, May.
    • Handle: RePEc:inm:ormnsc:v:19:y:1973:i:9:p:1013-1018
    DOI: 10.1287/mnsc.19.9.1013
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    Cited by:

    1. 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.
    2. Zhen Wang & Liwei Liu & Yiqiang Q. Zhao, 2022. "Equilibrium customer and socially optimal balking strategies in a constant retrial queue with multiple vacations and N-policy," Journal of Combinatorial Optimization, Springer, vol. 43(4), pages 870-908, May.
    3. Wei Yingyuan & Tang Yinghui & Yu Miaomiao, 2020. "Recursive Solution of Queue Length Distribution for Geo/G/1 Queue with Delayed Min(N, D)-Policy," Journal of Systems Science and Information, De Gruyter, vol. 8(4), pages 367-386, August.
    4. Wang, Jinting & Zhang, Xuelu & Huang, Ping, 2017. "Strategic behavior and social optimization in a constant retrial queue with the N-policy," European Journal of Operational Research, Elsevier, vol. 256(3), pages 841-849.
    5. uit het Broek, Michiel A.J. & Van der Heide, Gerlach & Van Foreest, Nicky D., 2020. "Energy-saving policies for temperature-controlled production systems with state-dependent setup times and costs," European Journal of Operational Research, Elsevier, vol. 287(3), pages 916-928.
    6. P. Vijaya Laxmi & E. Girija Bhavani & K. Jyothsna, 2023. "Analysis of Markovian queueing system with second optional service operating under the triadic policy," OPSEARCH, Springer;Operational Research Society of India, vol. 60(1), pages 256-275, March.
    7. Miaomiao Yu & Attahiru Sule Alfa, 2016. "Some analysis results associated with the optimization problem for a discrete-time finite-buffer NT-policy queue," Operational Research, Springer, vol. 16(2), pages 161-179, July.
    8. Yaxing He & Yinghui Tang & Miaomiao Yu & Wenqing Wu, 2024. "Performance and Optimization Analysis of a Queue with Delayed Uninterrupted Multiple Vacation and N-Policy," Methodology and Computing in Applied Probability, Springer, vol. 26(2), pages 1-28, June.
    9. Eugene Feinberg, 2005. "On essential information in sequential decision processes," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 62(3), pages 399-410, December.
    10. 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.
    11. Baek, Jung Woo & Bae, Yun Han, 2022. "A queuing-inventory model for manufacturing systems with fluid-type inventory," Omega, Elsevier, vol. 111(C).
    12. 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.
    13. 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.

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