Cost benefit analysis for non-Markovian bulk queue with server failure
by S. Palaniammal; S. Pradeep
International Journal of Mathematics in Operational Research (IJMOR), Vol. 28, No. 4, 2024

Abstract: The queueing system is significantly impacted by a breakdown, which also has complex consequences. The queueing system's functioning and dysfunction as a consequence of on-going server failure are discussed in this paper. This study investigates the server's uninterruptible failure in the presence of numerous breaks and state-dependent arrivals. The distinctive qualities and distinguishing characteristics of the queueing system are given, along with a cost model and an application example that demonstrates how the model has developed theoretically. Along with a thorough study of performance measures, the lowest overall average cost is also provided by figuring out the ideal batch size for the service.

Online publication date: Mon, 05-Aug-2024

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