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Mathematical Methods in Queueing Theory

Proceedings of a Conference at Western Michigan University, May 10–12, 1973

  • Conference proceedings
  • © 1974

Overview

Editors:
  1. A. Bruce Clarke

    1. Department of Mathematics, Western Michigan University, Kalamazoo, USA

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Part of the book series: Lecture Notes in Economics and Mathematical Systems (LNE, volume 98)

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Table of contents (18 papers)

  1. Front Matter

    Pages i-vii
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  2. The Markov Renewal Branching Process

    • Marcel F. Neuts
    Pages 1-21

  3. Some Topics in Queueing Network Theory

    • Ralph L. Disney, W. Peter Cherry
    Pages 23-44

  4. Convexity and Complete Monotonicity in Queueing Distributions and Associated Limit Behavior

    • Julian Keilson
    Pages 45-62

  5. Graphical Representation of Queue Evolution for Multiple-Server Systems

    • G. F. Newell
    Pages 63-79

  6. Wiener-Hopf Techniques in Queueing Theory

    • N. U. Prabhu
    Pages 81-90

  7. Occupation Time Problems in the Theory of Queues

    • Lajos Takács
    Pages 91-131

  8. Some Finite Waiting Space Bulk Queueing Systems

    • Tapan P. Bagchi, J. G. C. Templeton
    Pages 133-137

  9. Some Problems in Finite Queues

    • U. Narayan Bhat
    Pages 139-156

  10. Some New Results in the Statistical Analysis of Queues

    • Carl M. Harris
    Pages 157-183

  11. On the Extension of Congestion Theorems to Multi-Channel Systems

    • Richard Loulou
    Pages 185-197

  12. A Theory of Traffic-Measurement Errors for Loss Systems with Renewal Input

    • S. R. Neal, A. Kuczura
    Pages 199-229

  13. Optimal Operation of Queues

    • Matthew J. Sobel
    Pages 231-261

  14. Optimal Control of Queueing Systems

    • S. Stidham Jr., N. U. Prabhu
    Pages 263-294

  15. Algebraic Techniques for Numerical Solution of Queueing Networks

    • Victor L. Wallace
    Pages 295-305

  16. Heavy Traffic Limit Theorems for Queues: A Survey

    • Ward Whitt
    Pages 307-350

  17. Notes on Queueing Output Processes

    • Daryl J. Daley
    Pages 351-358

  18. The Single Server Queue in a Markovian Environment

    • Peter Purdue
    Pages 359-364

  19. On More Combinatorial Methods in the Theory of Queues

    • S. G. Mohanty
    Pages 365-371

  20. Back Matter

    Pages 373-375
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Keywords

About this book

On May 10-12, 1973 a Conference on Mathematical Methods in Graph Theory was held at Western Michigan University in Kalamazoo. The theme of this Conference was recent advances in the application of analytic and algebraic methods to the analysis of queues and queueing networks. In addition some discussion was given to statistical analy­ ses in queues, control problems and graphical methods. A total of 83 individuals from both industry and academic estab­ lishments participated in the Conference. A list of these partici­ pants can be found on page 373. A total of 18 papers were presented, with sUbstantial time being devoted to their informal discussion. This volume constitutes the proceedings of the Conference, and includes all papers presented. TABLE OF CONTENTS MARCEL F. NEUTS The Markov Renewal Branching Process • 1 RALPH L. DISNEY and W. PETER CHERRY Some Topics in Queueing Network Theory 23 JULIAN KEILSON Convexity and Complete Monotonicity in Queueing Distributions and Associated Limit Behavior . • • • • • . . • • • •• • • 45 G. F. NEWELL Graphical Representation of Queue Evolution for Multiple-Server Systems • . • • • • • • • • • • 63 N. U. PRABHU Wiener-Hopf Techniques in Queueing Theory 81 / IAJOS TAKACS Occupation Time Problems in the Theory of Queues 91 TAPAN P. BAGCHI and J. G. C. TEMPLETON Some Finite waiting Space Bulk Queueing Systems 133 U.

Editors and Affiliations

  • Department of Mathematics, Western Michigan University, Kalamazoo, USA

    A. Bruce Clarke

Bibliographic Information

  • Book Title: Mathematical Methods in Queueing Theory

  • Book Subtitle: Proceedings of a Conference at Western Michigan University, May 10–12, 1973

  • Editors: A. Bruce Clarke

  • Series Title: Lecture Notes in Economics and Mathematical Systems

  • DOI: https://doi.org/10.1007/978-3-642-80838-8

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin · Heidelberg 1974

  • Softcover ISBN: 978-3-540-06763-4Published: 29 May 1974

  • eBook ISBN: 978-3-642-80838-8Published: 06 December 2012

  • Series ISSN: 0075-8442

  • Series E-ISSN: 2196-9957

  • Edition Number: 1

  • Number of Pages: VIII, 378

  • Topics: Applications of Mathematics

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