Optimal Replacement Policies for a Parallel System with Shortage and Excess Costs  
Author Mingchih Chen

 
Co-Author(s) Xufeng Zhao; Toshio Nakagawa

 
Abstract A parallel redundant system plays an important role in reliability theory. This paper discusses age and random replacement policies for a parallel system by introducing shortage and excess costs to satisfy job schedules with random working and processing times, and two cases when the number of units are a constant n and a variable N are considered for respective replacements. Expected costs and their cost rates are derived, and optimal policies are discussed analytically and computed numerically.

 
Keywords Parallel system, age replacement, random replacement, random units, shortage cost, excess cost
   
    Article #:  19155
 
Proceedings of the 19th ISSAT International Conference on Reliability and Quality in Design
August 5-7, 2013 - Honolulu, Hawaii, U.S.A.