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International Journal of Mathematical, Engineering and Management Sciences

ISSN: 2455-7749 . Open Access


A Summary of Replacement Policies with Number of Failures

A Summary of Replacement Policies with Number of Failures

Xufeng Zhao
College of Economics and Management, Nanjing University of Aeronautics and Astronautics, Nanjing 211106, China.

Cunhua Qian
School of Economics and Management, Nanjing Tech University, Nanjing 211800, China.

Syouji Nakamura
Department of Life Management, Kinjo Gakuin University, Nagoya 463-8521, Japan.

Toshio Nakagawa
Department of Business Administration, Aichi Institute of Technology, Toyota 470-0392, Japan.

DOI https://dx.doi.org/10.33889/IJMEMS.2018.3.2-011

Received on March 22, 2017
  ;
Accepted on September 27, 2017

Abstract

Periodic replacement models with minimal repairs have been studied extensively. In order to prevent high repair costs after failures, this paper considers the number of failures as another decision variable for replacement policies. We begin with the standard periodic replacement model, and then summarize several extended replacement models with number of failures, using the respective assumptions of whichever occurs first and last, and replacing over planned measure, respectively. Optimum policies of replacement times T, number of periodic times N, and number of failures K are discussed analytically. From the optimization of the integrated models of T, N and K, comparisons among these policies are made in analytical ways to determine which policy should be more economical.

Keywords- Minimal repair, Periodic replacement, Replacement last, Random failure, Cumulative hazard rate.

Citation

Zhao, X., Qian, C., Nakamura, S., & Nakagawa, T. (2018). A Summary of Replacement Policies with Number of Failures. International Journal of Mathematical, Engineering and Management Sciences, 3(2), 136-150. https://dx.doi.org/10.33889/IJMEMS.2018.3.2-011.