GI/Geom/1/N/MWV queue with changeover time and searching for the optimum service rate in working vacation period

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:235

Article

Yu, Miaomiao^1,2  Tang, Yinghui¹  Fu, Yonghong³  Pan, Lemeng⁴ 

[1] Sichuan Normal Univ, Sch Math & Software Sci, Chengdu 610068, Peoples R China

[2] Sichuan Univ Sci & Engn, Sch Sci, Zigong 643000, Peoples R China

[3] Sichuan Univ Sci & Engn, Sch Comp, Zigong 643000, Peoples R China

[4] Univ Maryland, Dept Math, College Pk, MD 20742 USA

关键词: Working vacation;    Discrete-time queue;    Finite buffer;    Parabolic method;    Optimum value;   

DOI  :  10.1016/j.cam.2010.10.013

来源: Elsevier

【 摘 要 】

In this paper, we consider a finite buffer size discrete-time multiple working vacation queue with changeover time. Employing the supplementary variable and embedded Markov chain techniques, we derive the steady state system length distributions at different time epochs. Based on the various system length distributions, the blocking probability, probability mass function of sojourn time and other performance measures along with some numerical examples have been discussed. Then, we use the parabolic method to search the optimum value of the service rate in working vacation period under a given cost structure. (C) 2010 Elsevier B.V. All rights reserved.

【 授权许可】

Free