System Maintenance Using Several Imperfect Repairs Before a Perfect Repair

  • Haixia Smithson Indiana University Purdue University Indianapolis
  • Jyotirmoy Sarkar Indiana University-Purdue University-Indianapolis
DOI: https://doi.org/10.19139/soic-2310-5070-861
Keywords: Optimality; Reliability; Stochastic processes; Limiting availability; Limiting average cost per unit time

Abstract

Allowing several imperfect repairs before a perfect repair can lead to a highly reliable and efficient system by reducing repair time and repair cost. Assuming exponential lifetime and exponential repair time, we determine the optimal probability $p$ of choosing a perfect repair over an imperfect repair after each failure. Based on either the limiting availability or the limiting average repair cost per unit time, we determine the optimal number of imperfect repairs before conducting a perfect repair.

Author Biography

Haixia Smithson, Indiana University Purdue University Indianapolis
I currently work as a mathematical statistician at US Food and Drug Administration. Before this, I was a Phd Student in department of Mathematical Science, Indiana University-Purdue University-Indianapolis when this paper was formed.  My research interests are probability theory, operational research and big data analysis. 

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Published
2021-01-22
How to Cite
Smithson, H., & Sarkar, J. (2021). System Maintenance Using Several Imperfect Repairs Before a Perfect Repair . Statistics, Optimization & Information Computing, 9(1), 176-188. https://doi.org/10.19139/soic-2310-5070-861
Issue
Vol 9 No 1 (2021)
Section
Research Articles
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