Conditional PASTA

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

Research output: Contribution to journalArticleAcademic

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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 languageUndefined
Pages (from-to)229-232
JournalOperations research letters
Volume71
Issue number5
DOIs
Publication statusPublished - 1988

Keywords

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

Cite this

van Doorn, Erik A. ; Regterschot, G.J.K. / Conditional PASTA. In: Operations research letters. 1988 ; Vol. 71, No. 5. pp. 229-232.
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Conditional PASTA. / van Doorn, Erik A.; Regterschot, G.J.K.

In: Operations research letters, Vol. 71, No. 5, 1988, p. 229-232.

Research output: Contribution to journalArticleAcademic

TY - JOUR

T1 - Conditional PASTA

AU - van Doorn, Erik A.

AU - Regterschot, G.J.K.

PY - 1988

Y1 - 1988

N2 - 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.

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 -