A Repairable System Supported by Two Spare Units and Serviced by Two Types of Repairers
- https://doi.org/10.2991/jsta.d.210611.001How to use a DOI?
- Cold standby; Perfect repair; Patience time; Semi-Markov process; Sojourn time; Busy time
We study a one-unit repairable system, supported by two identical spare units on cold standby, and serviced by two types of repairers. The model applies, for instance, to ANSI (American National Standard Institute) centrifugal pumps in a chemical plant, and hydraulic systems in aviation industry. The failed unit undergoes repair either by an in-house repairer within a random or deterministic patience time, or else by a visiting expert repairer. The expert repairs one or all failed units before leaving, and does so faster but at a higher cost rate than the regular repairer. Four models arise depending on the number of repairs done by the expert and the nature of the patience time. We compare these models based on the limiting availability , and the limiting profit per unit time , using semi-Markov processes, when all distributions are exponential. As anticipated, to maximize , the expert should repair all failed units. To maximize , a suitably chosen deterministic patience time is better than a random patience time. Furthermore, given all cost parameters, we determine the optimum number of repairs the expert should complete, and the optimum patience time given to the regular repairer in order to maximize .
- © 2021 The Authors. Published by Atlantis Press B.V.
- Open Access
- This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).
Cite this article
TY - JOUR AU - Vahid Andalib AU - Jyotirmoy Sarkar PY - 2021 DA - 2021/07/10 TI - A Repairable System Supported by Two Spare Units and Serviced by Two Types of Repairers JO - Journal of Statistical Theory and Applications SP - 180 EP - 192 VL - 20 IS - 2 SN - 2214-1766 UR - https://doi.org/10.2991/jsta.d.210611.001 DO - https://doi.org/10.2991/jsta.d.210611.001 ID - Andalib2021 ER -