Regarding the fact that getting a suitable combination of the human resources and service stations is one of the important issues in the most service and manufacturing environments, In this paper, we have studied the two models of planning queuing systems and its effect on the cost of the each system by using two fuzzy queuing models of M/M/1 and M/E2/1. In the first section, we have compar...

We derive uniform asymptotic expressions of some Abel sums appearing in some problems in coding theory and indicate the usefulness of these sums in other fields, like empirical processes, machine maintenance, analysis of algorithms, probabilistic number theory, queuing models, etc.

Cloud computing is a recently developed new technology for complex systems with massivescale service sharing, which is different from the resource sharing of the grid computing systems. Cloud reliability analysis and modeling are not easy tasks because of the complexity and large scale of the system. This paper systematically analyzes cloud computing and models the reliability of the cloud serv...

The importance for this tutorial is to introduce the students into the loss systems, and, to underline the difference between the concepts of call-blocking and time-blocking probabilities, and to understand under which conditions these probabilities are identical. The selected exercises introduce, also, the Erlang tables, which is an important tool for easy calculations for the blocking probabi...

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...