الفهرس 
SCHEMATIC REPRESENTATION OF A QUEUEING PROCESSOnly 14 pages are availabe for public view
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Abstract
In the last 20 years, the queueing theory has found its way into computer sciences and stochastic systems, especially, the performance evaluation field and it had attracted the interest of some very capable applied mathematicians. Queueing system phenomena is becoming more and more prevalent in an increasing, congested and an urbanized societies. The theory is a rich branch of mathematics and applied sciences that is widely used in a variety of disciplines including management science, inventory studies, computer networks, machine repairs, military operations of various kinds, workforce management, teletraffic engineering, shipping management, telecommunications, manufacturing systems and production systems, to name only a few. This richness and abundance in applications is properly reflected in the stochastic models, tools, and techniques used in analyzing them. The importance of queueing theory lies not only in its applicability to real-life problem with its computationally tractable procedures, but in the elegance and completeness of the underlying stochastic models and mathematics as well. Queuing theory tries to answer many questions such that: 1 - Why then is there waiting? 2 - What is the average queue length? 3 - How long a customer expect to wait in the queue before he is served? 4 - How many people will form in the line? - What is the probability that the queue will exceed a certain length? d Queueing theory attempts (and in many cases succeeds) to answer all these questions through detailed mathematical analysis and has become the topic of interest. The general plan of this thesis, which contains three chapters is to study in detail, statistical point estimation using modified maximum likelihood function, confidence intervals for estimating the mean, difference of means and control charts of some waiting lines systems with some impatient customers concepts under steady-state conditions. First chapter is a general introduction. A quick review of some of the important previous studies used in this field, the definitions and some of the basic concepts of this thesis are introduced. The purpose of chapter two is to study statistical inference in quality control procedure for truncated single-server Markovian queue with balking, reneging and reflecting barrier under steady-state situation. As a result of this model, point estimation using modified likelihood function, confidence intervals for estimating the mean and control charts are treated. Third chapter examines the statistical quality control (SQC) for feedback multi-servers queueing model with finite source and spares under steady-state situation. The expected number of units in the system, point estimation using modified maximum likelihood estimates (MLEs), confidence intervals for estimating the mean, difference of means and control charts of the model are discussed and the average of subgroup ranges approach was used to confirm that the system is under control.