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A Study of the Queueing Systems M/G/1 and GI/M/1

  • U. Narayan Bhat

Part of the Lecture Notes in Operations Research and Mathematical Economics book series (LNE, volume 2)

Table of contents

  1. Front Matter
    Pages i-vii
  2. U. Narayan Bhat
    Pages 1-7
  3. U. Narayan Bhat
    Pages 8-43
  4. U. Narayan Bhat
    Pages 44-63
  5. U. Narayan Bhat
    Pages 63-71
  6. Back Matter
    Pages 72-79

About this book

Introduction

This study has grown out of a part of the author's thesis "Some Simple and Bulk Queueing Systems: A Study of Their Transient Behavior" submitted to the University of Western Australia (1964) and a course on Queueing Theory given to graduate students in the Operations Research Group of Case Institute of Technology, Cleveland, Ohio. The one semester course (approximately 35 hours) consisted of the following topics. (i) Some of the important special queues such as M/M/s, M/D/s, M/Ek/l etc., with emphasis on the different methods employed in the transient as well as steady state solution. (ii) Imbedded Markov chain analysis of M/G/l and GI/M/l as given in the joint paper of the author and N. U. Prabhu as well as the papers of D. G. Kendall. [All notations and papers are referred to later in the notes]. (iii) The contents of this memorandum. The author feels that such a course prepares the students adequately for an advanced course in Queueing Theory involving topics on Waiting Times, the General Queue GI/G/l and other ramifications such as Priorities, etc. A few words regarding the approach adopted in this study may not be out of place. So far, the time dependent behavior of queueing systems has not found a place in courses given outside the Department of Mathematics.

Keywords

Markov chain mathematics operations research queueing theory research service transition university

Authors and affiliations

  • U. Narayan Bhat
    • 1
  1. 1.Case Western Reserve UniversityClevelandUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-46136-1
  • Copyright Information Springer-Verlag Berlin Heidelberg 1968
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-04251-8
  • Online ISBN 978-3-642-46136-1
  • Series Print ISSN 0075-8442
  • Buy this book on publisher's site
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