in this paper, a multi-product continues review inventory control problem within batch arrival queuing approach (mqr/m/1) is modeled to find the optimal quantities of maximum inventory. the objective function is to minimize summation of ordering, holding and shortage costs under warehouse space, service level, and expected lost-sales shortage cost constraints from retailer and warehouse viewpoi...

Roughly speaking, Large Deviations is a theory of rare events. It is probably the most active field in probability theory at present, one which has many surprising ramifications. One of its applications is to the analysis of the tails of probability distributions and, in recent years, this aspect of the theory has been widely used in queuing theory. The aim of this tutorial is to introduce the ...

The static and analytic scheduling approach is very difficult to follow and is not always applicable in real-time. Most of the scheduling algorithms are designed to be established in offline environment. However, we are challenged with three characteristics in real cases: First, problem data of jobs are not known in advance. Second, most of the shop’s parameters tend to be stochastic. Third, th...

Recently it has been reported that variable bit rate (VBR) video traffic exhibits long-range dependence (LRD). Various processes have been proposed for modeling traffic with LRD and analyzing its effects on network performance. However, in the previous models it is not possible to identify the effects of shortand long-term correlation of video traffic on queuing performance, and thus many seemi...

This paper aims to find the optimal arrangement of consultation rooms in the specialist outpatient clinics of a hospital in Singapore to maximize the utilization factor. Doctors’ utilization and waiting time of the patients were also optimized in this research. This was done by building and validating queuing and simulation models to predict and model the real life variance and uncertainty in t...