Mathematical model and numerical simulation of dual-channel multiphase bulk arrival queuing system with heterogeneous service time

There are many queue models have been developed by many researchers. Many previous studies have developed queue model for large system. This paper constructs a queue model for small system which consists of dual server with multiphase in one system. Each server has different service time and the cus...

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Bibliographic Details
Published inJournal of physics. Conference series Vol. 1127; no. 1; pp. 12070 - 12075
Main Author Ahdika, Atina
Format Journal Article
LanguageEnglish
Published Bristol IOP Publishing 01.01.2019
Subjects
Customer services
Customers
Markov processes
Mathematical models
Multiphase
Queuing theory
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Summary:There are many queue models have been developed by many researchers. Many previous studies have developed queue model for large system. This paper constructs a queue model for small system which consists of dual server with multiphase in one system. Each server has different service time and the customer comes in batch (bulk arrival). The model has been derived based on the concept of birth-death process and solved using global balance condition to obtain performance measurements of the system. Numerical simulation is carried out to get a better understanding about the correlation between each variable involved in the system. The result shows that the more dense the movement of the customers in the system, the more people and the longer time spent by a customer in the system.
ISSN:1742-6588
1742-6596
DOI:10.1088/1742-6596/1127/1/012070