Modeling of multi-server repair problem with switching failure and reboot delay and related profit analysis

Ying Lin Hsu, Jau Chuan Ke, Tzu Hsin Liu*, Chia-Huang Wu

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

23 Scopus citations

Abstract

This study examines a warm-standby machine repair problem which involves a switching failure probability, reboot delay and a repair pressure coefficient. The machine repair problem has M operating machines with W warm standbys and R repairpersons. When all repairpersons are busy and waiting line is very long (heavy loading), the repairpersons increase their repair rate to reduce the queue length because of the pressure. This phenomenon is very common in many realistic service systems. A matrix-analytic method is adopted to develop a function of the steady-state expected profit per unit time. The probabilistic global search Lausanne (PGSL) method is employed to determine the joint optimal parameter values that maximize the profit and satisfy the availability constraint. Some numerical results of various system performance measures under optimal operating conditions are presented. Finally, several managerial insights are provided by demonstrating an example of the application to assist system analysts for decision making.

Original languageEnglish
Pages (from-to)21-28
Number of pages8
JournalComputers and Industrial Engineering
Volume69
Issue number1
DOIs
StatePublished - 1 Mar 2014

Keywords

  • Machine availability
  • Probabilistic global search Lausanne method
  • Reboot delay
  • Repair pressure coefficient
  • Switching failures

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