Conditional PASTA

Erik A. van Doorn; G.J.K. Regterschot

doi:10.1016/0167-6377(88)90036-3

Conditional PASTA

Erik A. van Doorn, G.J.K. Regterschot

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Abstract

Let Y be a stochastic process representing the state of a system and N a doubly stochastic Poisson process whose intensity varies with the state of a random environment represented by a stochastic process X. In this context a generalization of “PASTA” (Poisson Arrivals See Time Averages) is shown to be valid. Various applications of the result are given.

Original language	Undefined
Pages (from-to)	229-232
Journal	Operations research letters
Volume	71
Issue number	5
DOIs	https://doi.org/10.1016/0167-6377(88)90036-3
Publication status	Published - 1988

Keywords

PASTA
Poisson process
M/G/1 queue
IR-70043
buffer model
Random environment

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10.1016/0167-6377(88)90036-3

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Cite this

van Doorn, E. A., & Regterschot, G. J. K. (1988). Conditional PASTA. Operations research letters, 71(5), 229-232. https://doi.org/10.1016/0167-6377(88)90036-3

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AU - van Doorn, Erik A.

AU - Regterschot, G.J.K.

PY - 1988

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AB - Let Y be a stochastic process representing the state of a system and N a doubly stochastic Poisson process whose intensity varies with the state of a random environment represented by a stochastic process X. In this context a generalization of “PASTA” (Poisson Arrivals See Time Averages) is shown to be valid. Various applications of the result are given.

KW - PASTA

KW - Poisson process

KW - M/G/1 queue

KW - IR-70043

KW - buffer model

KW - Random environment

U2 - 10.1016/0167-6377(88)90036-3

DO - 10.1016/0167-6377(88)90036-3

M3 - Article

VL - 71

SP - 229

EP - 232

JO - Operations research letters

JF - Operations research letters

SN - 0167-6377

IS - 5

ER -