Cost benefit analysis for non-Markovian bulk queue with server failure

S. Palaniammal and S. Pradeep

International Journal of Mathematics in Operational Research, 2024, vol. 28, issue 4, 455-474

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.

Keywords: cost benefit; bulk queue; server breakdown; supplementary variable technique; total average cost. (search for similar items in EconPapers)
Date: 2024
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