Journal Published Online: 19 January 2015
Volume 44, Issue 4

Optimization Analysis of the G/G/R Machine Repair Problem With Balking and Reneging



The G/G/R machine repair problem with balking and reneging via the diffusion approximation approach is investigated. Failed machines balk (do not enter) with a constant probability and renege (leave the queue after entering) according to a general distribution. Failure and repair times of the machines are also generally distributed. The approximate probability density functions of the number of failed machines in the system are developed using diffusion approximation approach. The Newton method and the direct search method are used, respectively, to determine the optimum number of repairmen as well as the optimum value of service rate, to maximize the profit function. Sensitivity analysis with numerical illustration is also provided.

Author Information

Wang, Kuo-Hsiung
Department of Computer Science and Information Management, Providence Univ., Taichung, TW
Liou, Cheng-Dar
Department of Business Administration, National Formosa Univ., Huwei, Yunlin, TW
Yen, Tseng-Chang
Department of Applied Mathematics, National Chung-Hsing Univ., Taichung, TW
Pages: 8
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Stock #: JTE20140244
ISSN: 0090-3973
DOI: 10.1520/JTE20140244