Analysis of a two incongruent arrivals and services M/G/1 queue with random feedback
| Autor: | A. Badamchi Zadeh, M. H. Ghahramani |
|---|---|
| Rok vydání: | 2018 |
| Předmět: |
Statistics and Probability
Service (business) 021103 operations research General distribution Queue management system Goto Operations research Stochastic process 0211 other engineering and technologies Poisson process 02 engineering and technology 01 natural sciences 010104 statistics & probability symbols.namesake symbols M/G/1 queue 0101 mathematics Queue Mathematics |
| Zdroj: | Communications in Statistics - Theory and Methods. 48:2509-2520 |
| ISSN: | 1532-415X 0361-0926 |
| DOI: | 10.1080/03610926.2018.1470644 |
| Popis: | A queuing system with two incongruent arrivals and services is considered. Two kinds of customers enter the system by Poisson process and the service times are assumed to have general distribution. After first kind service completion, it may feedback to repeat the first service, leave the system or go to give second service. The same policy is applied for the other kind of customer. All stochastic processes involved in this system are independent. We derive the probability generating function for each kind and for the system that yield the performance measures. Some numerical approaches examined the validity of the results. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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