Conditional PASTA

Authors:
Erik A Van Doorn;G. J. K Regterschot
Affiliations:
Faculty of Applied Mathematics, University of Twente, P.O. Box 217, 7500 AE Enschede, The Netherlands;Faculty of Industrial Engineering, Eindhoven University of Technology, P.O. Box 513, 5600 MB Eindhoven, The Netherlands
Venue:
Operations Research Letters
Year:
1988

Citing 1
Cited 4

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Some theorems on conditional Pasta: A stochastic integral approach

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Marginal queue length approximations for a two-layered network with correlated queues

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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.