Analysis of Multi-Server Queue with Self-Sustained Servers

نویسندگان

چکیده

A novel multi-server vacation queuing model is considered. The distinguishing feature of the model, compared to standard queues, self-sufficiency servers. server can terminate service and go on independently system manager overall situation in system. make decisions whether allow start work after completion when try returning some from a process customers. arrival flow defined by general batch Markov process. problem optimal choice total number servers thresholds defining arises. To solve this problem, behavior described three-dimensional chain with special block structure generator. Conditions for ergodicity are derived, computation steady-state distribution discussed. Expressions key performance indicators terms states derived. An illustrative numerical result presented.

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ژورنال

عنوان ژورنال: Mathematics

سال: 2021

ISSN: ['2227-7390']

DOI: https://doi.org/10.3390/math9172134