This paper presents a three-level supply chain model which includes single supplier, several distribution centers and sets of retailers. For this purpose, by adopting the queuing approach, a mixed nonlinear integer programming model is formulated. The proposed model follows minimizing the total cost of the system by determining: 1) the number and location of distribution centers between candida...

We propose in this article a M/G/c/c state dependent queuing model for road traffic flow. The model is based on finite capacity queuing theory which captures the stationary density-flow relationships. It is also inspired from the deterministic Godunov scheme for the road traffic simulation. We first present a reformulation of the existing linear case of M/G/c/c state dependent model, in order t...

This paper uses a queuing model to evaluate completion times in accident and emergency (A&E) departments in the light of the UK Government’s target of completing and discharging 98% of patients inside 4 hours. It illustrates how flows though an A&E can be very accurately represented as a queuing process, how the outputs of a queuing model can be used to visualise and interpret the 4-hour hour G...

Network Simulator 3 (ns-3) is a powerful tool for modeling the behavior of computer networks using simulation. We have developed three well known differentiated service packet queuing methods: strict priority queuing, weighted fair queuing, and weighted round robin queuing, in the simulation framework. In this paper, we present the implementation details of the three modules as well as their us...