A replacement policy for a repairable system with its repairman having multiple vacations

Authors:
Jishen Jia;Shaomin Wu
Affiliations:
Department of Scientific Research, Hennan Mechanical and Electrical Engineering College, Xinxiang 453002, PR China;School of Applied Science, Cranfield University, Bedfordshire MK43 0AL, UK
Venue:
Computers and Industrial Engineering
Year:
2009

Citing 4
Cited 1

M/G/1 queue with exceptional first vacation

Computers and Operations Research
Analysis of a bulk queue with N-policy multiple vacations and setup times

Computers and Operations Research
Performance analysis of a finite-buffer discrete-time queue with bulk arrival, bulk service and vacations

Computers and Operations Research
Introduction to Probability Models, Ninth Edition

Introduction to Probability Models, Ninth Edition

Optimal replacement policy for a repairable system with multiple vacations and imperfect fault coverage

Computers and Industrial Engineering

Quantified Score

Hi-index	0.00

Visualization

Abstract

This paper considers a replacement policy for a repairable system with a repairman, who can have multiple vacations. If the system fails and the repairman is on vacation, it will wait for repair until the repairman is available. Assuming that the system can not be repaired ''as good as new'' and a repair upon failure can be performed immediately with a probability of p, we optimise replacement policy using geometric processes. The explicit expression of the expected cost rate is derived, and the corresponding optimal policy can be determined analytically or numerically. Finally, a numerical example is given to illustrate the theoretical results of the model.