this paper presents a new nonlinear mathematical model to solve a cell formation problem which assumes that processing time and inter-arrival time of parts are random variables. in this research, cells are defined as a queue system which will be optimized via queuing theory. in this queue system, each machine is assumed as a server and each part as a customer. the grouping of machines and parts...

This paper defines the building blocks of and derives basic queuing systems. It begins with a review of some probability theory and then defines processes used to analyze queuing systems, in particular the birth-death process. A few simple queues are analyzed in terms of steady-state derivation before the paper discusses some attempted field research on the topic.

Queuing theory is the formal study of waiting in line and is an entire discipline in operations management. This article will give the reader a general background into queuing theory, its associated terminology, and its relationship to patient satisfaction. Queuing theory has been used in the past to assess such things as staff schedules, working environment, productivity, customer waiting time...

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...