Applications of Generalized Nets PDF
Preview Applications of Generalized Nets
EEEEQSSBQEEl GE3 B ENERALIZED _ | E TS This page is intentionally left blank BBBBBBBHBBHB BQ B ENERALIZED E Ts i Editor: Krassimir T Atanassov Institute for Microsystems, Sofia, Bulgaria World Scientific Singapore • New Jersey • London • Hong Kong Published by World Scientific Publishing Co. Pte. Ltd. P O Box 128, Fairer Road, Singapore 9128 USA office: Suite IB, 1060 Main Street, River Edge, NJ 07661 UK office: 73 Lynton Mead, Totteridge, London N20 8DH APPLICATIONS OF GENERALIZED NETS Copyright © 1993 by World Scientific Publishing Co. Pte. Ltd. All rights reserved. This book, or parts thereof, may not be reproduced in any form orby any means, electronic or mechanical, including photocopying, recording or any information storage and retrieval system now known or to be invented, without written permission from the Publisher. ISBN 981-02-0667-4 Printed in Singapore. To Prof. Car]-Adam Petri on the occasion of the 30-th anniver sary of his beautiful idea na med Petri net. PREFACE This book contains papers on almost all models of processes de veloped up to now, which are described on the basis of Generalized Hets (GHs). These extensions of Petri nets were described in my book "Generalized Hets" (World Scientific Pub], Co., Singapore, 1991). The results used from the bock "Generalized Bets" are given in Appendix J, This book is divided in five areas: theoretical results on GHs, theoretical GH-models, GH-models of economical, industrial and trans- portational processes, GH-models of processes, related to medical dia gnostics, and GH-models of computer processes. Elements of the first version of the Program Package for GHs (FPGH), which is already prepa red are described in the last chapter. The authors are my colleagues, postgraduate students and students, who are interested in GHs. Toe aim of this book is to show the largest possible scope of applications of GHs. I hope that this task will be fulfilled. GHs are realized in the frames of FPGH. Those who are interested in them can receive detailed information from me home address: Bulgaria, Sofia-1113, ul. Elemag, Ho. 15, Block 307, Ap. 18. ■ « a I would like to thank the Chief Editor of AHSE Review (France) Prof G. Hesnard for urging me to write this book and my coauthors for the effort. Erassimir T. Atanassov April 1992, Sofia - v - This page is intentionally left blank This page is intentionally left blank CCSTEHTS Chapter 1: Hew results in the theory of Generalized Hets (GBs) 1 § 1.1. Hew results in the theory of GHs by E. Atanassov 2 § 1.2. On the representation of GH transitions by a fixed set of transitions by P. Gyurov and X. Atanassov 31 § 1.3. Two new conservative extensions of GHs by R. Cbristov and X. Atanassov 43 Chapter 2: Some applications of GHs in science 48 § 2. 1. GHs representing the elements of neuron networks by L. Hadjyisky and X. Atanassov 49 % 2.2. GHs representing the travelling salesman problem by K. Atanassov 68 § 2. 3. GHs and labyrinths by F. Cbristov and X. Atanassov 82 § 2.4. Forma] communication in science: a model based on GHs by R. Todorov and X Atanassov 85 § 2. 5. GHs and expert systems. V by X. Atanassov, F. Georgiev and H. Tetev 96 § 2. 6. GHs researching the basic properties of Knowledge base by E. Dimitrov, I. Kazalarsky and X. Atanassov 106 § 2.7. Parallel Knowledge processing modelling in expert system using GHs by I. Hristozov and E. Tzolov 112 § 2. 8. GHs and distributed database technology by A. Georgiev 120 - vii - Viii CONTENTS Chapter 3: Some applications of GNs in economics, industry and transport 124 § 3. 1. Modelling the activities of international transport market by GNs by A. Kirova and K. Atanassov 125 § 3.2. GNs for simulation of booking systems for passenger transport by S. Bedev and L. Atanassova 139 § 3.3. GNs in the modelling of public transport by K. Stefanova 148 § 3.4. GN model of activities of a bus-depot by P. Gyurov 154 § 3. 5. GN model of the activity of an air-traffic control center by S. Fisbmanov 163 §3.6. GN models for flexible manufacturing systems by H. Stefanova-Favlova and K. Atanassov 172 §3.7. GN models of the activity of HEPTCCHIH Petrochemical Combine in Bourgas by S. Dimitrova, L. Dimitrova, T. Kolarova, F. Fetkov, K. Atanassov and B. Christov 208 § 3. 8. A second type of intuitionistic fuzzy GN-model in the chemical industry by S. Christov and S. Garbov 214 Chapter 4: Applications of GNs in medicine 219 § 4.1. Applications of GNs in nepbrology by J. Sorsich and K. Atanassov 220 CONTENTS ix § 4.2. Modelling of diagnostic and therapeutic processes in medicine by GHs by B. Jordanova and J. Sorsich 291 Chapter 5: GHs and computer science 298 § 5. 1: Implementation of GHs in distributed operating system development by H. Pehlivanov 299 § 5.2: Gil-models of data transfer in industrial local area networks by A. Savov 306 § 5.3: GH-modeIs of FFT and transputer systems by A. Dimitrova and R. Fetrov 314 § 5.4: Implementation of GHs for simulation of node-to-node communication in a regular structure by S. Stefanov 319 §5.5: GN modelling of disk subsystems by B. Hikolova 327 § 5.6: Software tools for GHs by R. Cbristov and S. Hihov 340 Appendix 1: Remarks on GHs (by Z. Atanassov] 349 Appendix 2: Generalized index matrices (by K. Atanassov) 379 Appendix 3: Intuitionistic fuzzy sets (by K. Atanassov) 382 List of authors 386 C h a p t er 1 : NEW RESULTS IN THE THEORY OF GENERALIZED NETS Hiree new results related to the theory of GHs are included in this chapter. They are continuations of the results from the Ixiok "Generalized Bets". 1
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