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The Simulation of a Queueing System Consist of Two Parallel Heterogeneous Channels with no Waiting Line
Pure and Applied Mathematics Journal
Volume 4, Issue 5, October 2015, Pages: 216-218
Received: Aug. 17, 2015; Accepted: Aug. 27, 2015; Published: Sep. 8, 2015
Authors
Vedat Sağlam, Department of Statistics, Ondokuz Mayıs University, Samsun, Turkey
Murat Sağır, Department of Statistics, Ondokuz Mayıs University, Samsun, Turkey
Erdinç Yücesoy, Department of Statistics, Ondokuz Mayıs University, Samsun, Turkey
Müjgan Zobu, Department of Statistics, Amasya University, Amasya, Turkey
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Abstract
A queueing system with two parallel heterogenous channels without waiting is considered. In this queueing system customer arrivals are Poisson distributed with λ rate. Each customer has exponentially distributed service time with μ_k (k=1,2) parameter at k-th channel. When a customer arrives this system if both the service channels are available, the customer has service with α or β=1-α probabilities at first and second service channels respectively. If one of the service channels is available, the customer has service at this service channel or leaves the system without being served if both of the service channels are busy. We have obtained mean waiting time and mean number of customers of the system and a simulation of this system is performed.
Keywords
Heterogeneous Queueing Systems, Loss Probability, Optimization, Simulation, Markov Chain, Kolmogorov Equation, Transition Rates
Vedat Sağlam, Murat Sağır, Erdinç Yücesoy, Müjgan Zobu, The Simulation of a Queueing System Consist of Two Parallel Heterogeneous Channels with no Waiting Line, Pure and Applied Mathematics Journal. Vol. 4, No. 5, 2015, pp. 216-218. doi: 10.11648/j.pamj.20150405.12
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