Technical Note—An Algorithm for Computing the Convolution of Poisson Negative Binomial and Geometric Distributions

Colm Art O'Cinneide and Helmut Schneider
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Colm Art O'Cinneide: University of Arkansas, Fayetteville, Arkansas
Helmut Schneider: Louisiana State University, Baton Rouge, Louisiana

Operations Research, 1987, vol. 35, issue 3, 445-449

Abstract: We present a simple algorithm that computes the convolution of Poisson, negative binomial, and geometric distributions. We show that a certain infinite-server queue in a random facility repair environment has a steady-state distribution that involves such convolutions. The algorithm arises from the steady-state equations of this process.

Keywords: 331 distribution of demand; 565 computing convolutions; 695 infinite server queue in a random environment (search for similar items in EconPapers)
Date: 1987
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Persistent link: https://EconPapers.repec.org/RePEc:inm:oropre:v:35:y:1987:i:3:p:445-449

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