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On Poisson Queue with Two Heterogeneous Servers

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  • B. Krishnamoorthi

    (Indian Statistical Institute, Calcutta, India)

Abstract

A Poisson queue with two heterogeneous servers has been considered. Some objections to the use of classical queue discipline are raised, chief among them being the violation of the “first-in first-out” principle, because of heterogeneity of servers. Two alternative queue disciplines are considered, one with a slight and the other with a greater modification of the classical one. The second one takes care of the objections raised against the classical one, while the first is still of interest because of its operational simplicity. Under the first one the steady state and the Laplace transform of the transient state probability distribution of the queue length have been derived. Also different types of busy periods have been defined. Under the second one, only steady-state results have been obtained. An application has been indicated.

Suggested Citation

  • B. Krishnamoorthi, 1963. "On Poisson Queue with Two Heterogeneous Servers," Operations Research, INFORMS, vol. 11(3), pages 321-330, June.
    • Handle: RePEc:inm:oropre:v:11:y:1963:i:3:p:321-330
    DOI: 10.1287/opre.11.3.321
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    Cited by:

    1. R. Sivasamy & N. Thillaigovindan & G. Paulraj & N. Paranjothi, 2019. "Quasi-birth and death processes of two-server queues with stalling," OPSEARCH, Springer;Operational Research Society of India, vol. 56(3), pages 739-756, September.
    2. 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.
    3. 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.
    4. Tang Tang & Lijuan Jia & Jin Hu & Yue Wang & Cheng Ma, 2022. "Reliability analysis and selective maintenance for multistate queueing system," Journal of Risk and Reliability, , vol. 236(1), pages 3-17, February.
    5. Ragavendran Gopalakrishnan & Sherwin Doroudi & Amy R. Ward & Adam Wierman, 2016. "Routing and Staffing When Servers Are Strategic," Operations Research, INFORMS, vol. 64(4), pages 1033-1050, August.

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