In this paper, open queuing networks with Poisson arrivals and single-server infinite buffer queues are considered. Unlike traditional models, customers served (with exponential service time) in batches, so that the nodes non-work-conserving. The main contribution of work is design an efficient algorithm to find batch sizes which minimize average response time network. As preliminary steps at b...

In order to solve closed-loop logistics network design problem in the low-carbon economic environment, in this paper, queuing theory is used to calculate the amount of storage of reverse logistics nodes and interval number is used to describe the uncertainty of the logistics network, a bi-objectives logistics network design model which minimum the total cost and carbon emissions of logistics ne...

This paper presents a mathematical model for an inventory control system in which customers’ demands and suppliers’ service time are considered as stochastic parameters. The proposed problem is solved through queuing theory for a single item. In this case, transitional probabilities are calculated in steady state. Afterward, the model is extended to the case of multi-item inventory systems. The...

We discuss how decentralized network resource allocation problems fit within the context of mechanism design (realization theory and implementation theory), and how mechanism design can provide useful insight into the nature of decentralized network resource allocation problems. The discussion is guided by the unicast problem with routing and Quality of Service (QoS) requirements, and the multi...

In this paper, the problem of fair scheduling in a wireless network is formulated as an assignment problem and an Optimal Radio Channel Allocation (ORCA) strategy is proposed for fair bandwidth allocation in a centralized manner. Simulation results show that the performance improvement due to ORCA can be significant compared to other wireless fairqueuing mechanisms proposed in the literature su...

It is often very challenging to plan expedient and cost-effective operations for service trucks under network design constraints, particularly on congested urban roadways. Hence, it is beneficial to simultaneously account for truck facility location design and network expansion decisions to mitigate the additional congestion caused by trucks and facilitate their routing. This paper develops an ...

The network delay has a huge impact to the quality of a networked control system. This paper investigates modelling the network delay incurred by control system packets traversing a Mobile Ad Hoc Network from a plant to a controller using the queuing theory. Control systems can become unstable if information is lost or delayed so in this paper we compare voice traffic modelling with control pac...

Queuing theory is the one of the classical mathematical tool for study waiting lines or queues. In queuing theory a mathematical model is constructed to find various queue characteristics like average waiting time, mean queue length and number of the customers etc. Infact, waiting for service in queues has become an integral part of our daily life. Queues are often undesirable as they cost time...

It is practically significant to research the traffic flow of intersection because the capacity of intersection affects the efficiency of highway network directly. This paper analyzes the traffic conditions of an intersection in certain urban by the methods of queuing theory and statistical experiment, sets up a corresponding mathematical model and compares it with the actual values. The result...