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.
منابع مشابه
A Note on a Multi-server Queue with Vacations of Multiple Groups of Servers
Jau-Chuan Ke, Chia-Huang Wu and Zhe George Zhang Department of Applied Statistics National Taichung University of Science and Technology, Taichung, Taiwan Department of Industrial Engineering and Management National Chiao Tung University, Hsinchu, Taiwan Department of Decision Science, College of Business and Economics Western Washington University, Bellingham, WA 98225-9077, USA (Received Octo...
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ژورنال
عنوان ژورنال: Mathematics
سال: 2021
ISSN: ['2227-7390']
DOI: https://doi.org/10.3390/math9172134