الفهرس | Only 14 pages are availabe for public view |
Abstract In recent years there has been a rapid development in the fields that depend on queuing theory in their field applications, such as operations research, management science, computer sciences, remote communication, production system and many other things. This development has led to the emergence of several problems in queues you must search for solutions. The general plan of this thesis, which contains four chapter, deals with a modern treatment of the problems that occur when solving some queues with one service channel (in the case of transient behavior or in the steady - state case), in addition to some concepts of loss of patience and also some other modern concepts of subtraction and study. Chapter one is a general introduction to some of the basic concepts, definitions and various statistical and mathematical properties of the queuing system measures that will be used in this thesis. The purpose of the chapter two is to find a modern solution to the problem of queue: M/M/1 in case of transient behavior when the reality is under the influence of feedback, catastrophe and repair. Some previous studies have been concluded as special cases. As well as simulating the results by numerical example to illustrate the model. Chapter three deals with the problem of the queue: M/D/1 in the steady - state case, when is under influence the balking, using a modern and approach mathematical style. Some previous studies have been concluded as special cases. As well as simulating the results by numerical example to illustrate the model. The objective of chapter four was to obtain analytical solutions for the M/Er/1 line in the general form of each r, considering the feature of feedback and retention of reneged customers. Some previous studies have been concluded as special cases. As well as simulating the results by numerical example to illustrate the model. |