A Note on Optimization Problems of a Parallel System with a Random Number of Units

Author:

Eryilmaz Serkan1

Affiliation:

1. Department of Industrial Engineering, Atilim University, Ankara, Turkey

Abstract

This paper is concerned with a parallel system that have a random number of units. The distribution of the number of units is assumed to follow a power series class of distributions which contains well-known distributions such as modified or truncated Poisson, geometric, and logarithmic distributions. Optimal number of units and replacement time for the system which minimizes the mean cost rate are computed. The results extend the results in the literature from Poisson distribution to a wider class of distributions.

Publisher

World Scientific Pub Co Pte Lt

Subject

Electrical and Electronic Engineering,Industrial and Manufacturing Engineering,Energy Engineering and Power Technology,Aerospace Engineering,Safety, Risk, Reliability and Quality,Nuclear Energy and Engineering,General Computer Science

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1. Component-based perfect replacement optimizations for series and parallel systems consisting of repairable dependent components;Proceedings of the Institution of Mechanical Engineers, Part O: Journal of Risk and Reliability;2023-11-07

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3. Reliability modeling and maintenance planning for a parallel system with respect to the state-dependent mean residual time;Journal of the Operational Research Society;2023-04-03

4. Optimal age replacement policies for parallel systems with mission durations;Computers & Industrial Engineering;2022-07

5. Comparison of the replacement policy in k-out-of-n systems having dependent components;Proceedings of the Institution of Mechanical Engineers, Part O: Journal of Risk and Reliability;2021-06-08

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