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

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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… Click to show full 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.

Keywords: number units; system random; number; random number; parallel system

Journal Title: International Journal of Reliability, Quality and Safety Engineering
Year Published: 2017

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