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

B. Thilaka (), B. Poorani () and S. Udayabaskaran
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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

Chapter Chapter 16 in Applications of Operational Research in Business and Industries, 2023, pp 233-251 from Springer

Abstract: 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.

Keywords: Catastrophe; Sleep mode; Maintenance mode; Transient and steady-state probabilities (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:spr:lnopch:978-981-19-8012-1_16

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DOI: 10.1007/978-981-19-8012-1_16

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