Replacement first and last for a parallel system with constant and random units

This paper observes optimal replacement times for a parallel system with n units, when it is operating for successive jobs with a random working cycle. The classical approach of "whichever occurs first" and the newly proposed approach of "whichever occurs last" are respectively e...

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Published in:IET Conference Proceedings
Main Authors: Zhao, Xufeng, Qian, Cunhua, Nakamura, S, Nakagawa, T
Format: Conference Proceeding
Language:English
Published: Stevenage The Institution of Engineering & Technology 21.08.2015
Subjects:
Cost analysis
Replacement costs
ISBN:1785610856, 9781785610851
Online Access:Get full text
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Abstract This paper observes optimal replacement times for a parallel system with n units, when it is operating for successive jobs with a random working cycle. The classical approach of "whichever occurs first" and the newly proposed approach of "whichever occurs last" are respectively employed for replacements scheduled at time T and at working cycle Y , whose policies are called replacement first and replacement last. Two cases when the number of units for this parallel system is a given constant value and a random variable with estimated distribution are considered into modelings. We obtain their expected replacement cost rates and optimal solutions analytically. Further, comparisons of replacement first and replacement last are described in detail to determine which policy could save more replacement cost rate.
AbstractList This paper observes optimal replacement times for a parallel system with n units, when it is operating for successive jobs with a random working cycle. The classical approach of "whichever occurs first" and the newly proposed approach of "whichever occurs last" are respectively employed for replacements scheduled at time T and at working cycle Y , whose policies are called replacement first and replacement last. Two cases when the number of units for this parallel system is a given constant value and a random variable with estimated distribution are considered into modelings. We obtain their expected replacement cost rates and optimal solutions analytically. Further, comparisons of replacement first and replacement last are described in detail to determine which policy could save more replacement cost rate.
Author Qian, Cunhua
Nakagawa, T
Zhao, Xufeng
Nakamura, S
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Copyright Copyright The Institution of Engineering & Technology Aug 21, 2015
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Snippet This paper observes optimal replacement times for a parallel system with n units, when it is operating for successive jobs with a random working cycle. The...
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Replacement costs
Title Replacement first and last for a parallel system with constant and random units
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