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Machine Repair Problem in Production Systems with Spares and Server Vacations

Published online by Cambridge University Press:  28 January 2009

Jau-Chuan Ke ,
Ssu-Lang Lee  and
Cheng-Hwai Liou
Jau-Chuan Ke
Affiliation:
Department of Applied Statistics, National Taichung Institute of Technology, No. 129, Sec. 3, Sanmin Rd., Taichung 404, Taiwan, R.O.C.; jauchuan@ntit.edu.tw
Ssu-Lang Lee
Affiliation:
Department of Accounting, National Taichung Institute of Technology, Taichung 404, Taiwan, R.O.C.
Cheng-Hwai Liou
Affiliation:
Department of Accounting, National Taichung Institute of Technology, Taichung 404, Taiwan, R.O.C.
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Abstract

This paper studies the machine repairproblem consisting of M operating machines with S sparemachines, and R servers (repairmen) who leave for a vacation ofrandom length when there are no failed machines queuing up forrepair in the repair facility. At the end of the vacation theservers return to the repair facility and operate one of threevacation policies: single vacation, multiple vacation, and hybridsingle/multiple vacation. The Markov process and thematrix-geometric approach are used to develop the steady-stateprobabilities of the number of failed machines in the system aswell as the performance measures. A cost model is developed toobtain the optimal values of the number of spares and the numberof servers while maintaining a minimum specified level of systemavailability. Some numerical experiments are performed and someconclusions are drawn.

Keywords

Hybrid multiple/single vacationmachine repair problemmatrix-geometric approachmultiple vacationssingle vacation.
Type
Research Article
Information
RAIRO - Operations Research , Volume 43 , Issue 1 , January 2009 , pp. 35 - 54
Copyright
© EDP Sciences, ROADEF, SMAI, 2009

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