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Performance Analysis of an M/M/2 Queue with Partially Active Server Subject to Catastrophe

In: Applications of Operational Research in Business and Industries

Author

Listed:
  • B. Thilaka

    (Sri Venkateswara College of Engineering)

  • B. Poorani

    (KCG College of Technology)

  • S. Udayabaskaran

    (Vel Tech Rangarajan Dr. Sagunthala R&D Institute of Science and Technology)

Abstract

An M/M/2 queue with the server operating in three modes—maintenance mode, sleep mode (no server is available), and active mode (partially active state where only a single server is available and fully active state where both servers are available for service) subject to catastrophe is considered. Catastrophes occur in both the sleep and active mode. Customer impatience is allowed only when the server is in the sleep mode. The objective of the paper is to determine the performance measures of the system. The transient and steady-state probabilities of the system, the steady-state performance measures are derived.

Suggested Citation

  • B. Thilaka & B. Poorani & S. Udayabaskaran, 2023. "Performance Analysis of an M/M/2 Queue with Partially Active Server Subject to Catastrophe," Lecture Notes in Operations Research, in: Angappa Gunasekaran & Jai Kishore Sharma & Samarjit Kar (ed.), Applications of Operational Research in Business and Industries, chapter 0, pages 233-251, Springer.
    • Handle: RePEc:spr:lnopch:978-981-19-8012-1_16
    DOI: 10.1007/978-981-19-8012-1_16
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