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

  • Book
  • © 1968

Overview

Authors:
  1. U. Narayan Bhat

    1. Case Western Reserve University, Cleveland, USA

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

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Table of contents (4 chapters)

  1. Front Matter

    Pages i-vii
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  2. Introduction

    • U. Narayan Bhat
    Pages 1-7

  3. The Queue M/G/1 with Group Arrivals

    • U. Narayan Bhat
    Pages 8-43

  4. The Queue GI/M/1 with Group Service

    • U. Narayan Bhat
    Pages 44-63

  5. Queueing Systems in Discrete Time

    • U. Narayan Bhat
    Pages 63-71

  6. Back Matter

    Pages 72-79
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Keywords

About this book

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.

Authors and Affiliations

  • Case Western Reserve University, Cleveland, USA

    U. Narayan Bhat

Bibliographic Information

  • Book Title: A Study of the Queueing Systems M/G/1 and GI/M/1

  • Authors: U. Narayan Bhat

  • Series Title: Lecture Notes in Economics and Mathematical Systems

  • DOI: https://doi.org/10.1007/978-3-642-46136-1

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin ยท Heidelberg 1968

  • Softcover ISBN: 978-3-540-04251-8Published: 28 February 1968

  • eBook ISBN: 978-3-642-46136-1Published: 06 December 2012

  • Series ISSN: 0075-8442

  • Series E-ISSN: 2196-9957

  • Edition Number: 1

  • Number of Pages: VII, 79

  • Topics: Operations Research/Decision Theory

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