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 |
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Pages (from-to) | 229-232 |
Journal | Operations research letters |
Volume | 71 |
Issue number | 5 |
DOIs | |
Publication status | Published - 1988 |
Keywords
- PASTA
- Poisson process
- M/G/1 queue
- IR-70043
- buffer model
- Random environment