Searchingfor Optimum Service Rate In a Queuing System
Keywords:
arrival rate (λ), service rate (μ), steady-state probability (pn), customers, serverAbstract
The use of queuing theory in practice involves two major aspects:
1. Selection of the appropriate mathematical model that will represent the real system adequately with the objective of determining the systems measures of performance.
2. Implementation of a decision model based on the systems measures of performance for the purpose of designing the service facility.
This work is merely a simulation study using a celebrated simulation programs in operations research namely TORA, LINGO, LINDO, Process Model plus EXCEL.
In this study we invstigated the optimal service rate in the queueing system (M/M/1): (GD/∞/∞), plus finding the optimal service rate for a given arrival rate several service rates are tried to obtain the performance measurements which are important in determining the minimal cost by using the cost function TC(μ) = Cu + CWLS. S
Promising results are obtained which are consistent with all the theoretical results available in the literature concerning the steady state behavior of a queueing system.
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