Modeling Finite and Infinite Queuing Processes
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Date
2013
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Journal ISSN
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Publisher
Cosmic Journals India
Abstract
This paper considers an infinite queue where the arrival of future customers is not affected by the numbers of customers already on the queue and a finite queue where customers attempting to enter when people are already present are denied entry, or blocked. In particular, we analyze the problem based on the assumption that one or more elements of the queuing system can be expressed only in probabilistic terms. To study the effect of blocking arriving customers, we first establish some stochastic comparison of the performance measure formulas that permit us to compare the different operating policies. These comparisons show that in M/M/I queuing model, there is an infinite room to hold arrivals waiting for service. M/M/K/F queuing model has a limited capacity.
Description
Keywords
Infinite Queue, Finite Queue, Poisson Distribution, Stochastic
Citation
International Journal of Management and Business Studies (IJMBS)