Analysis of machine-repairing systems with server breakdown and delayed repairs. (10th April 2019)

• Record Type: Journal Article
• Authors: Ke, Jau-Chuan; Liu, Tzu-Hsin; Hsu, Ying-Lin; Ku, Hui-Tzu
• Is Part Of: International journal of industrial and systems engineering. Volume 31:Number 4(2019)
• Page Start: 517
• Page End: 534
• Publication Date: 2019-04-10
• Subjects: cost analysis -- partial breakdowns -- delayed repairs -- warm standby machine -- probabilistic global search Lausanne; Systems engineering -- Periodicals; Industrial engineering -- Periodicals; 620.001171
• Languages: English
• ISSNs: 1748-5037

Abstract

This paper considers a machine-repairing system with a partial breakdown and delay-repairs. When the servers fail, the service continues at a slower rate instead of stopping completely. We utilise a matrix-analytic method to obtain steady-state probabilities. We then develop system performance measures. A cost model is developed to simultaneously determine the optimal value of the number of servers, the number of standby servers, the two service rates, and the cost of maintaining system availability at an acceptable level. We employ the probabilistic global search Lausanne method to deal with the optimisation problem. Sensitivity analysis is also conducted in which various system parameters are evaluated under optimal operating conditions. Finally, an application example is provided to demonstrate how the presented model could be used in real-life situations.