Analysis of Discrete-time queues with correlated arrivals, negative customers and server interruption
| Autor: | A. Senthil Vadivu, R. Arumuganathan, M. Senthil Kumar |
|---|---|
| Rok vydání: | 2015 |
| Předmět: |
0209 industrial biotechnology
Mathematical optimization 021103 operations research Computer science Real-time computing 0211 other engineering and technologies Markov process Discrete time queue 02 engineering and technology State (functional analysis) Management Science and Operations Research Computer Science Applications Theoretical Computer Science Computer Science::Performance symbols.namesake 020901 industrial engineering & automation Discrete time and continuous time symbols Distributed services Markovian arrival process State markov chain Queue |
| Zdroj: | RAIRO - Operations Research. 50:67-81 |
| ISSN: | 1290-3868 0399-0559 |
| DOI: | 10.1051/ro/2015012 |
| Popis: | This paper analysis a discrete time infinite capacity queueing system with correlated arrival and negative customers served by two state Markovian server. Positive customers are generated according to the first order Markovian arrival process with geometrically distributed lengths of On periods and Off periods. Further, the geometrically distributed arrival of negative customer removes the positive customers is any, and has no effect when the system is empty. The server state is a two state Markov chain which alternate between Good and Bad states with geometrically distributed service times. Closed-form expressions for mean queue length, unfinished work and sojourn time distributions are obtained. Numerical illustrations are also presented. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|