In order to reduce the traffic congestion and to enhance the capacity of urban road intersections, this paper builds a model of the vehicle queuing system for the intersection by queuing theory Based on Monte Carlo algorithm, this paper carries out simulation and analysis of the vehicle queuing system in the intersection by MATLAB, analyses, the status of vehicle queue to reduce the vehicle que...

Queuing models are important tools for studying the performance of complex systems, but despite the substantial queuing theory literature, it is often necessary to use approximations in the case the system is nonmarkovian. Phase type distribution is by now indispensable tool in creation of queuing system models. The purpose of this paper is to suggest a method and software for evaluating queuin...

Queuing theory is a major topic of applied mathematics that deals with phenomenon of waiting and arises from the use of powerful mathematical analysis to describe production processes. This study examines the use of production capacity of facilities in Fujitsu Components (M) Sdn. Bhd. based on queuing theory. The aim of this study is to achieve an appropriate queuing analytical model and determ...

We look at routing and scheduling problems on Kelly type networks where the injection process is under the control of an adversary. The novelty of the model we consider is that the adversary injects requests of distinct types. Resources are subject to switch-over delays or setups when they begin servicing a new request class. In this new setting, we study the behavior of sensible policies as in...

-The performance in terms of reliability of multi-server computer networks motivates this paper. The probability limit theorem is derived on the virtual waiting time of job in nodes in a multi-server open queueing network and applied to a reliability model for multi-server computer networks where we relate the time of failure of a multi-server computer network to the system parameters. Key-Word...

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 ...