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標題: Profit analysis of the M/M/R machine repair problem with balking, reneging, and standby switching failures
作者: Wang, K.H.
Ke, J.B.
Ke, J.C.
關鍵字: balk;machine availability;profit;renege;standby switching failures;sensitivity analysis;additional server;queuing-problems;longer queues;system;model
Project: Computers & Operations Research
期刊/報告no:: Computers & Operations Research, Volume 34, Issue 3, Page(s) 835-847.
We study the warm-standby M/M/R. machine repair problem where standby machines have switching failure probability q, and failed machines balk (do not enter) with a constant probability (I - b) and renege (leave the queue after entering) according to a negative exponential distribution. Failure and repair times of the machines are assumed to follow a negative exponential distribution. A profit model is developed in order to determine the optimal values of the number of spares and the number of repairmen simultaneously, while maintaining a minimum specified level of system availability. We use the two methods direct search method and steepest descent method to find the global maximum value until the availability, balking and reneging constraints are satisfied. Numerical results are provided in which various system performance measures are calculated under optimal operating conditions. Sensitivity analysis is also investigated. (c) 2005 Elsevier Ltd. All rights reserved.
ISSN: 0305-0548
DOI: 10.1016/j.cor.2005.05.013
Appears in Collections:應用數學系所

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