Maintenance of deteriorating single server queues with random shocks

Authors:
Won Seok Yang;Dae Eun Lim;Kyung Chul Chae
Affiliations:
Technology Strategy Division, ETRI, Daejeon 305-700, Republic of Korea;Department of Industrial Engineering, KAIST, Daejeon 305-701, Republic of Korea;Department of Industrial Engineering, KAIST, Daejeon 305-701, Republic of Korea
Venue:
Computers and Industrial Engineering
Year:
2009

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Abstract

We consider the maintenance of single server queues in which the deterioration of a server is subject to random shocks. Shock arrivals deteriorate the server by a random amount. A maintenance policy is proposed whereby the server is repaired whenever its state is above a specified maintenance level. We present the system size distribution and sojourn time distribution. We derive the long run average cost, considering holding cost and repair cost. We analyze the proposed maintenance policy based on the cost analysis.