Browsing by Author "Tseng, JW"

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Bilevel hysteretic service rate control for bulk arrival queue
(1999-10-01)
Liu, FH
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Tseng, JW
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工業工程與管理學系
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Department of Industrial Engineering and Management
This paper concerns M-[X] / M / 1 queue. The number of customers in each arriving unit is a random variable. There is two control threshold values K and N, K is smaller than N. Service rate is switched from u to tu whenever the system size increases to N. The tu rate is switched to u when the system size drops to the value K. We derive the steady-state probabilities of the number of customers in system and the expected number of customers in system. A cost model is introduced for the service cost, queuing cost, and switching cost. (C) 1999 Elsevier Science Ltd. All rights reserved.