Simpler proofs of some properties of the fundamental period of the MAP/G/1 queue
| Autor: | Marcel F. Neuts, David M. Lucantoni |
|---|---|
| Rok vydání: | 1994 |
| Předmět: |
Statistics and Probability
Queueing theory Matching (graph theory) General Mathematics 010102 general mathematics Markov process Sample (statistics) Subject (documents) Mathematical proof 01 natural sciences Combinatorics symbols.namesake 010104 statistics & probability symbols Probability distribution 0101 mathematics Statistics Probability and Uncertainty Queue Mathematics |
| Zdroj: | Journal of Applied Probability. 31:235-243 |
| ISSN: | 1475-6072 0021-9002 |
| Popis: | By an argument which involves matching sample paths, some useful equations for the probability distribution of the fundamental period in the MAP/G/1 queue are derived with less calculational effort than in earlier proofs. It is further shown that analogous equations hold for the MAP/SM/1 queueing model. These results are then used to derive explicit formulas for the mean vectors of the number served during and the duration of the fundamental period. BUSY PERIOD; SAMPLE PATHS AMS 1991 SUBJECT CLASSIFICATION: PRIMARY 60K25 |
| Databáze: | OpenAIRE |
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