標題: Comparison of two randomized policy M/G/1 queues with second optional service, server breakdown and startup
作者: Wang, Kuo-Hsiung
Yang, Dong-Yuh
Pearn, W. L.
工業工程與管理學系
Department of Industrial Engineering and Management
關鍵字: Comparison;Optimization;(p, N)-policy;Second optional service;(T, p)-policy
公開日期: 1-六月-2010
摘要: The problem addressed in this paper is to compare the minimum cost of the two randomized control policies in the M/G/1 queueing system with an unreliable server, a second optional service, and general startup times. All arrived customers demand the first required service, and only some of the arrived customers demand a second optional service. The server needs a startup time before providing the first required service until the system becomes empty. After all customers are served in the queue, the server immediately takes a vacation and the system operates the (T, p)-policy or (p, N)-policy. For those two policies, the expected cost functions are established to determine the joint optimal threshold values of (T, p) and (p, N), respectively. In addition, we obtain the explicit closed form of the joint optimal solutions for those two policies. Based on the minimal cost, we show that the optimal (p, N)-policy indeed outperforms the optimal (T, p)-policy. Numerical examples are also presented for illustrative purposes. (C) 2010 Elsevier B.V. All rights reserved.
URI: http://dx.doi.org/10.1016/j.cam.2010.01.045
http://hdl.handle.net/11536/5380
ISSN: 0377-0427
DOI: 10.1016/j.cam.2010.01.045
期刊: JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
Volume: 234
Issue: 3
起始頁: 812
結束頁: 824
顯示於類別:期刊論文


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  1. 000277803700019.pdf