Telecommunications Network Planning

280 Pages·1999·25.497 MB·English

by  Bernard Gendron, Teodor Gabriel Crainic (auth.), Brunilde Sansò, Patrick Soriano (eds.)

Telecommunications Network Planning
CENTRE FOR RESEARCH ON TRANSPORTATION
25TH ANNIVERSARY SERIES 1971 - 1996
EQUILIBRIUM AND ADVANCED TRANSPORTATION
MODELLING
edited by
Patrice Marcotte and Sang Nguyen
TELECOMMUNICATIONS NETWORK PLANNING
edited by
Brunilde Sans6 and Patrick Soriano
FLEET MANAGEMENT AND LOGISTICS
edited by
Teodor Gabriel Crainic and Gilbert Laporte
AUTOMOBILE INSURANCE: Road Safety, New Drivers,
Risks, Insurance Fraud and Regulation
edited by
Georges Dionne and Claire Laberge-Nadeau
TAKING STOCK OF AIR LIBERALIZATION
edited by
Marc Gaudry and Robert Mayes
Telecommunications Network Planning
Edited by
Brunilde Sanso
Ecole Poly technique de Montreal
Patrick Soriano
Ecole des Hautes Etudes Commerciales de Montreal
Kluwer Academic Publishers
Boston/DordrechtiLondon
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Library of Congress Cataloging-in-Publication Data
Telecommunications network planning / edited by Brunilde Sanso,
Patrick Soriano.
p. cm. -- (Centre for Research on Transportation 25th
Anniversary Series, 1971 - 1996)
Includes bibliographical references.
ISBN 0-7923-8397-4
1. Telecommunication systems--Planning. I. Sanso, Brunilde,
1960- II. Soriano, Patrick. III. Series.
TK5101.T326 1998
621.382--dc21 98-46424
CIP
Copyright © 1999 by Kluwer Academic Publishers. Second printing 2001.
All rights reserved. No part of this publication may be reproduced, stored in a
retrieval system or transmitted in any form or by any means, mechanical, photo
copying, recording, or otherwise, without the prior written permission of the
publisher, Kluwer Academic Publishers, 101 Philip Drive, Assinippi Park,
Norwell, Massachusetts 02061
Printed on acid-free paper.
This printing is a digital duplication of the original edition.
Contents
Contributing Authors xi
Preface xiii
Preface xv
Introduction xvii
Brunilde Sanso and Patrick Soriano
1
MULTICOMMODITY CAPACITATED NETWORK DESIGN 1
Bernard Gendron, Teodor Gabriel Crainic, Antonio Frangioni
1.1 Introduction 1
1.2 Survey 2
1.3 Relaxations for the Fixed-Charge Problem 7
1.4 Conclusion 15
References 15
2
USING HOP-INDEXED MODELS FOR CONSTRAINED SPANNING AND 21
STEINER TREE MODELS
Luis Gouveia
2.1 Introduction 21
2.2 A Hop-Indexed Formulation for the Steiner Tree Problem 22
2.3 A Hop Dependent Multicommodity Flow Formulation for the Spanning/Steiner
Trees with Hop Constraints 24
2.4 A Hop-Indexed Flow Based Model for Capacitated Spanning Trees 27
2.5 Conclusions 30
References 31
vi TELECOMMUNICATIONS NETWORK PLANNING
3
HIERARCHICAL TWO LEVEL LOCATION PROBLEMS 33
Pierre Chardaire
3.1 Introduction 33
3.2 Formulations for the Uncapacitated Problem 36
3.3 Solution Methods 38
3.4 Numerical Results 40
3.5 Formulation for the Capacitated Problem 45
3.6 Solution Methods 46
3.7 Numerical Results 48
3.8 Conclusion and Perspectives 51
References 51
4
MULTI-HOUR DIMENSIONING IN NON-HIERARCHICAL TELECOMMU- 55
NICATIONS NETWORKS
George G. Polak, Benjamin T. Smith
4.1 Introduction 55
4.2 Literature Review 57
4.3 The Network LP Model 58
4.4 Applying the Primal-Dual Algorithm to Dimensioning 59
4.5 Solution of the Restricted Primal 62
4.6 Numerical Results 67
4.7 Conclusions 76
References 76
5
ISSUES IN ATM NETWORK PLANNING: AN OPERATIONS RESEARCH 79
PERSPECTIVE
Brunilde Sanaa
5.1 Introduction 79
5.2 Why ATM? 80
5.3 Main Features of ATM 81
5.4 Design Issues 85
5.5 Conclusions 95
References 96
Contents vii
6
THE COMMON STRUCTURE OF PACKET- AND CIRCUIT-SWITCHED 101
NETWORK SYNTHESIS
Andre Girard
6.1 Introduction 101
6.2 Single-Service Packet-Switched Networks 102
6.3 Single-Service Circuit-Switched Networks 107
6.4 Multi-Service Packet-Switched Networks 112
6.5 Multi-Service Circuit-Switched Networks 115
6.6 Conclusion 118
References 118
7
LOSS MODELS FOR BROADBAND NETWORKS WITH NON-LINEAR 121
CONSTRAINT FUNCTIONS
William Liang, Keith W. Ross
7.1 Introduction 121
7.2 Separable Multiplexing for a Single Link 122
7.3 Separable Multiplexing in Networks 123
7.4 Performance Evaluation 125
7.5 Performance Comparisons 126
7.6 Numerical Study 128
References 133
8
RELIABILITY ISSUES IN TELECOMMUNICATIONS NETWORK PLANNING 135
Charles J. Co/bourn
8.1 Telecommunications Networks 135
8.2 Reliability and Performability 136
8.3 Applications to Network Design 140
8.4 Future Prospects 143
References 144
9
DESIGN AND DIMENSIONING OF SURVIVABLE SDH/SONET NETWORKS 147
Patrick Soriano, Christelle Wynants, Rene Seguin, Martine Labbe, Michel Gendreau,
Bernard Portz
9.1 Introduction 147
9.2 SDH/SONET Networks 149
viii TELECOMMUNICATIONS NETWORK PLANNING
9.3 Network Survivability 151
9.4 Reserve Network Dimensioning 154
9.5 Self-Healing Ring Network Design 158
9.6 Conclusion and Perspectives 162
References 164
10
COMPARATIVE METHODS AND ISSUES IN DESIGN OF MESH-RESTORABLE 169
STM AND ATM NETWORKS
W.D. Grover, R.R. Iraschko, Y. Zheng
10.1 Introduction 169
10.2 Prior Work 174
10.3 Capacity Design of STM Path Restorable Networks 182
10.4 Proposed Design Method for ATM VP-Based Path Restorable Networks 189
10.5 Summary 198
References 199
11
FAULT TOLERANT VIRTUAL PATH LAYOUT: OPTIMIZATION MODELS 201
Michael O. Ball, Andrew Vakhutinsky
11.1 Introduction 201
11.2 Broadband Multiclass Networks 202
11.3 Modeling Issues 205
11.4 Integer Programming Formulations 212
11.5 Solution Methods 216
11.6 Conclusions 217
References 217
12
SURVEY OF RESEARCH ISSUES IN LEO/MEO BASED GLOBAL MOBILE 219
COMMUNICATION SYSTEMS
Bezalel Gavish
12.1 Introduction 219
12.2 A Research Agenda 222
12.3 GEOjLEOjMEO When Should Each System Be Used? 234
12.4 Discussion 236
References 237
Contents ix
13
MATHEMATICAL MODELS AND EXACT METHODS FOR CHANNEL AS- 239
SIGNMENT IN CELLULAR NETWORKS
Brigitte Jaumard, Odile Marcotte, Christophe Meyer
13.1 Introduction 239
13.2 Statement of the Channel Assignment Problem 240
13.3 Literature Survey 243
13.4 A First Integer Programming Formulation 246
13.5 A Column Generation Integer Programming Formulation 249
13.6 Computational Experiments 251
13.7 Concluding Remarks 253
References 253
14
TILE COVERS, CLOSED TOURS AND THE RADIO SPECTRUM 257
Jeannette Janssen, Kyriakos Kilakos
14.1 Introduction 257
14.2 Description of the Problem 258
14.3 Closed Tours 259
14.4 Tile Covers 262
14.5 Conclusions 268
References 269
Contributing Authors
MICHAEL O. BALL KYRIAKOS KILAKOS
University of Maryland London School of Economics
mballGmb •. umd.edu k.kilako.ll• •. ac.uk
PIERRE CHARDAIRE MARTINE LABBE
University of East Anglia Universite Libre de Bruxelles
pcGsys.uea.ac.uk mlabbel.mg.ulb.ac.be
CHARLES J. COLBOURN WILLIAM LIANG
University of Vermont University of Pennsylvania
colbournGuvm-gen.emba.uvm.edu liangvt.ea• . upenn .•d u
TEODOR GABRIEL CRAINIC ODILE MARCOTTE
Universite de Montreal Universite du Quebec It. Montreal
theoGcrt.umontreal.ca odilelcrt.umontreal.ca
ANTONIO FRANGIONI CHRISTOPHE MEYER
Universitlt. di Pisa :Ecole Poly technique de Montreal
frangio'4i.unipi.it chri.toplcrt.umontreal.ca
BERNARD FORTZ GEORGE G. POLAK
Universite Libre de Bruxelles Wright State University
bfortzGsmg.ulb.ac.b. g.orge.polak.UC.e4u
BEZALEL GAVISH KEITH W. ROSS
Vanderbilt University University of Pennsylvania
gavishbGctra11.vand.rbilt .•d u ro• ••••a •. up.nn .•d u
MICHEL GENDREAU BRUNILDE SANSO
UniversitlS de MontrlSal Ecole Poly technique de Montreal
michelgGcrt.umontreal.ca bruniGcrt.umontr.al.ca
BERNARD GENDRON BENJAMIN T. SMITH
Universite de Montreal Ecole Poly technique de Montreal
bernardlcrt.umontreal.ca benjlcrt.umontreal.ca
ANDRE GIRARD RENE SEGUIN
INRS-TeMcommunications Universite de MontrlSal
an4re'inr.-t.lecom.uquebec.ca renelcrt.umontreal.ca
LUIS GOUVEIA PATRICK SORIANO
Universidade de Lisboa Ecole des HEC de Montreal
19ouveialfc.ul.pt patricklcrt.umontreal.ca
W.D. GROVER ANDREW VAKHUTINSKY
University of Alberta United Air Lines
groverGedm.trlab• . ca lVakhutin.kylual.com
R.R. IRASCHKO CHRISTBLLB WYN ANTS
University of Alberta Universite Libre de Bruxelles
(.ee groverledm.trlab• . ca) cwynant.l.mg.ulb.ac.be
JEANNETTE JANSSEN Y. ZHENG
London School of Economics University of Alberta
jan.senlc4am.l.e.ac.uk (.e. groverGedm.trlab• . ca)
BRIGITTE JAUMARD
Ecole Polytechnique de Montreal
brigittlcrt.umontr.al.ca