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Optimal Replacement Policy Based on the Number of Down Times with Priority in Use
-
David D. Hanagal
und
Rupali A. Kanade
Veröffentlicht/Copyright:
18. November 2010
Abstract
This paper is an extension of the paper “Optimal Replacement Policy Based on Number of Down Times” of the authors, which was published in EQC 25/1. While the former investigated a cold standby system consisting of two identical components, the present one considers the same situation, however, with two unequal components. The first component is very reliable while the second one is less reliable. Just as in the previous paper, a replacement policy based on the number of down times in a renewal cycle is determined that maximizes the long run expected reward per unit time. The explicit expression of the long run expected reward per unit time is derived and a numerical example is given for illustration.
Keywords.: Binomial distribution; cold standby system; negative binomial distribution; number of down times; priority; renewal reward theorem; repair rate; replacement policy
Received: 2010-07-03
Published Online: 2010-11-18
Published in Print: 2010-December
© de Gruyter 2010
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Artikel in diesem Heft
- Editorial
- Acceptance Sampling Plans from Truncated Life Tests Based on the Log-Logistic Distributions for Percentiles
- Book Review: Generalized Gaussian Error Calculus by Dr. rer. nat. Michael Grabe
- On the Robustness of Reliability Characteristic of Alpha-Distributed Lifetimes
- Binomial Poisson Distribution Revisited
- Empirical Evaluation of Stochastikon Magister
- Selection of Bayesian Double Sampling Inspection Plans by Attributes with Small Acceptance Numbers
- Analysis of a Complex System Modelled by a Marked Point Process and Assuming Vacations for a Repairman
- Optimal Replacement Policy Based on the Number of Down Times with Priority in Use
- Median Inactivity Time Function and its Reliability Properties
- Statistical Inference on Software Reliability Assuming Exponential Fault Correction Time
- On Testing Exponentiality Against DMRL Alternatives
- Designing Single Sampling Plans by Variables Using Predictive Distribution
Schlagwörter für diesen Artikel
Binomial distribution;
cold standby system;
negative binomial distribution;
number of down times;
priority;
renewal reward theorem;
repair rate;
replacement policy
Artikel in diesem Heft
- Editorial
- Acceptance Sampling Plans from Truncated Life Tests Based on the Log-Logistic Distributions for Percentiles
- Book Review: Generalized Gaussian Error Calculus by Dr. rer. nat. Michael Grabe
- On the Robustness of Reliability Characteristic of Alpha-Distributed Lifetimes
- Binomial Poisson Distribution Revisited
- Empirical Evaluation of Stochastikon Magister
- Selection of Bayesian Double Sampling Inspection Plans by Attributes with Small Acceptance Numbers
- Analysis of a Complex System Modelled by a Marked Point Process and Assuming Vacations for a Repairman
- Optimal Replacement Policy Based on the Number of Down Times with Priority in Use
- Median Inactivity Time Function and its Reliability Properties
- Statistical Inference on Software Reliability Assuming Exponential Fault Correction Time
- On Testing Exponentiality Against DMRL Alternatives
- Designing Single Sampling Plans by Variables Using Predictive Distribution
