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Two-Server Markovian Queues with Balking: Heterogeneous vs. Homogeneous Servers

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  • Vijendra P. Singh

    (IBM Components Division, East Fishkill Facility Hopewell Junction, New York)

Abstract

This paper analyses a Markovian queuing system with balking and two heterogeneous servers determines the capacity of the slower server and obtains the optimal service rates that minimize the average characteristics of the heterogeneous system. The heterogeneous system is compared with a corresponding homogeneous system and a condition showing the efficiency of the heterogeneous system is obtained, this condition involving only the traffic intensity and the service rates. A cost model is discussed and various tables and graphs representing the average characteristics of both the systems are given.

Suggested Citation

  • Vijendra P. Singh, 1970. "Two-Server Markovian Queues with Balking: Heterogeneous vs. Homogeneous Servers," Operations Research, INFORMS, vol. 18(1), pages 145-159, February.
    • Handle: RePEc:inm:oropre:v:18:y:1970:i:1:p:145-159
    DOI: 10.1287/opre.18.1.145
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    Cited by:

    1. Li, Na & Stanford, David A., 2016. "Multi-server accumulating priority queues with heterogeneous servers," European Journal of Operational Research, Elsevier, vol. 252(3), pages 866-878.
    2. Jeganathan, K. & Abdul Reiyas, M. & Prasanna Lakshmi, K. & Saravanan, S., 2019. "Two server Markovian inventory systems with server interruptions: Heterogeneous vs. homogeneous servers," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 155(C), pages 177-200.
    3. Zhang, Zhongju & Daigle, John, 2012. "Analysis of job assignment with batch arrivals among heterogeneous servers," European Journal of Operational Research, Elsevier, vol. 217(1), pages 149-161.
    4. Martin J. Fischer & Carl M. Harris, 1991. "Heterogeneous multitrunking queueing systems with thresholds," Naval Research Logistics (NRL), John Wiley & Sons, vol. 38(4), pages 579-597, August.
    5. Rakesh Kumar & Sapana Sharma, 2021. "Transient analysis of a Markovian queuing model with multiple-heterogeneous servers, and customers’ impatience," OPSEARCH, Springer;Operational Research Society of India, vol. 58(3), pages 540-556, September.
    6. Boronico, Jess S. & Siegel, Philip H., 1998. "Capacity planning for toll roadways incorporating consumer wait time costs," Transportation Research Part A: Policy and Practice, Elsevier, vol. 32(4), pages 297-310, May.

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