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Due to the analytical intractability of general tandem queues, we develop innovative methods to quantify the dependence among stations through simulation. Dependence is defined by the contribution queue time at each station, and contribution factors are developed based on the insight from Friedman's reduction method and Jackson networks. In a tandem queue, the dependence among stations can be either...
In this paper, we study a MAP/PH/1 queue with two classes of customers and discretionary priority. There are two stages of service for the low-priority customer. The server adopts the preemptive priority discipline at the first stage and adopts the nonpreemptive priority discipline at the second stage. Such a queueing system can be modelled into a quasi-birth-and-death (QBD) process. But there is...
The increasing number of geriatric patients is one of the most important problems for the next years. This kind of patients is often dependent and does not tolerate environment changes so that hospitalization can strongly deteriorate the elderly health state. This paper focuses on two services of the geriatric services: the Short Stay (Acute Care) and Rehabilitative Care (to prepare the return at...
A batch-service queue with Markovian arrival process can be adopted to deal with highly correlated systems which arises in high speed telecommunication networks. Such complex models are usually dealt by evoking simulation method. However, we carry out modeling and analysis of this queue by developing an analytically tractable methodology which is based on bivariate vector generating function. The...
R is a free software package with extensive statistical capability, customizable graphics, and both imperative and vectorized programming capabilities. For use in an introductory simulation course, the capabilities of R for analyzing simulation statistics, and for generating corresponding graphics, aid in developing student intuition. R also provides flexibility in determining whether simulation and...
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