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Multicast Rout ing and Resource Allocation for High-Speed Networks A thesis submitted in conformiw with the requirements for the Degree of Doctor of Phîlosophy, Depart ment of Elect rical and Computer Engineering, at the University of Toronto @ Copyright by Sanjeev Verma 1998 1+1 National Library Bibliothèque nationale ,,,of du Canada Acquisitions and Acquisitions et Bibliographic Services services bibliographiques 395 Wellington Street 395. rue Weilington Ottawa ON K1A ON4 Ottawa ON K1A ON4 canada Canada The author has g-anted a non- L'auteur a accordé une licence non exclusive Licence allowing the exclusive permettant a la National Library of Canada to Bibliothèque nationale du Canada de reproduce, loan, distribute or sell reproduire, prêter, distriiuer ou copies of this thesis in microfom, vendre des copies de cette thèse sous paper or electronic formats. la forme de microfiche/nlm, de reproduction sur papier ou sur format électronique. The author retains ownership of the L'auteur conserve la propriété du copyright in this thesis. Neither the droit d'auteur qui protège cette thèse. thesis nor substantial extracts fiom it Ni la thèse ni des extraits substantiels - may be printed or otherwise de celle-ci ne doivent être imprimés reproduced without the author's ou autrement reproduits sans son permission. autorisation. TO My Parents and to the loving memory of late younger brother Multicast Routing and Resource Allocation for High-Speed Networks Sanjeev Verma Degree of Doctor of Philosophy Department of Electncal and Cornputer Engineering University of Toronto Abstract In recent years, a number of architectures (ATM, Next Generation Internet) have been propoûed to provide real-tirne multimedia services over packet switched net- works. Most of the emerging services need certain "quality of service" (&os) guar- antees fiom the network. Ehrthermore, many of these applications are multicast in nature. Five important components of the emerging network architecture supporting these applications are: Flow specification, Routing, Resource Reservation, Admission Control and Packet Scheduling. These components in conjunction tly to meet the QoS requirements of a wide range of services. The goal is not just meeting &os requirements of the applications but doing so efficiently. There is a strong interac- tion between various components of the architecture and hence the design of any component is based on certain assumptions about the remaining components of the architecture. This dissertation addresses the issues involved in the design of rout- hg, resource allocation and c da dmission control components of the next generation Intemet. The approach is however general in nature and applicable to any high speed integrated packet switched network. We particularly concentrate on guaran- teed quality of service (G QoS) applications, defied by IETF (Intemet Engineering Task Force), that need a he nd-to-end delay bound and no queuing loss for con- forming packets. Conceptuaily we cm think that a connection set-up process consists of two phases, though physical implementation may be Merent. In the first phase, a route is established fkom the source node to the destination node. The second phase consists of checking whether or not the application can be admitteci dong the route to meet the user's requirements- The success of the cal1 admission phase depends on the amount of resources ( buffer, bandwidth etc.) available in the selected route by the routing process in the first phase. A related issue is the mapping of end-to-end QoS requirement into local QoS requhments and then mapping local QoS requirements into resource requirements. in this dissertation, we first give an efficient and distributed algorithm based on the cost function ( function of node utilization) to divide the end-to-end guaranteed QoS requirements into local QoS requirements. The simulation results show that the QoS division scheme baed on cost function results in an efficient utilization of resources compared to the equal division scheme. We then select suitable routing metrics for GQoS applications in order to make an efficient use of network resources. We then give a heuristic approach that use these metrics to produce sub-optimum multicast trees. We also show that the resource resemtion scheme given for uni- cast connections can also be used with multicast connections to do efficient resource reservation. We note that the key idea with both resource reservation and QoS rout- h g is the efficient distribution of load acrosç the network. Since both routing and resource reservation share the same goal, an efficient design is possible if these two problems are addressed concurrently. We show that the performance of a given re- source reservation mechanism depends strongly on the underlying routing algorithm. Our simulation results show that the QoS routing algorithm proposed in this disser- tation gives very good performance when used with cost based resource reservation scheme. We find that this is due to the even distribution of load across the network and minimal consumption of resources that result when this particular combination is used. Acknowledgments Several people supported my efforts during rny graduate years and 1 would like to thank them. First, 1 would like to thank Leon Garcia for introducing me to new results and open issues in the exciting world of high speed networks. Hiç feedback helped immensely in setting a definitive direction and improving the quality of my thesis. Jerry Hayes spent hours driving into me what research is all about. He taught by his own example the importance of long term vision in research. I thank Rajesh Panlraj for his everlasting enthUSIasm towards new pro blems. Reg- dar discussions with Pankaj and his feedback helped greatly in improving the tech- niques presented in this thesis. Anindo Banerjea provided very useful feedback, which improved the presentation of the techniques in this thesis. 1 thank the rest of my cornmittee, A.N. Venetsanopou- los, Km Sevcik and Gien Gulak for carefully reading through the thesis and providing helpful suggestions. I would like to thank my yoga teacher Axe1 Molema and other friends from Hart House Yoga Club for keeping me physically, mentally and spiritually in a good health during my stay in University of Toronto. 1 would like to thank Sanjay La1 and Suhas Mansingh for help with simulations and many a tea-time chats. 1 would also like to thank my innumerable friends, including Nikhilesh Swamy, Hassan Naser, M. Mahmoudi, S. K. Chan, Massoud Khansari, Rathneshwaran, Ragulan, Alagan, Hashemi, and several others missing hom this List, for making my graduate school stay more enjoyable than it sometimes seemed to be. Special thanks go to Sarah Cherian for going out of the way to squeeze my thesis defense in a very tight schedule. My research would not have been possible without the generous support of the Canadian Commonwealth Fellowship, NSERC and Nortel. Cousin Ritu pepped me up when the morale was low. 1 thank my parents, sister and brother-in-law for constant encouragement and moral support during all these years of study, that at times seemed endless. Last but not the lest, my late brother who was always the first to encourage me in anything that I ever tned to accomplish. Contents Abstract Acknowledgements Contents List of Figures List of Tables 1 Introduction 1.1 Motivation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1.2 Background and Related Work . . . . . . . . . . . . . . . . . . . . . . 1.2.1 Resource Allocation . . . . . . . . . . . . . . . . . . . . . . . . 1.2.2 QoS Routing . . . . . . . . . . . . . . . . . . . . . . . . . . . 1.2.3 Multicast QoS Rauting . . . . . . . . . . . . . . . . . . . . . . 1.3 Main Contributions of this Dissertation . . . . . . . . . . . . . . . . . 1.4 Organization of the Dissertation . . . . . . . . . . . . . . . . . . . . . 2 Cal1 Admission and Resource Allocation 2.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2.2 Resource Resemtion Protocol (RSVP) . . . . . . . . . . . . . . . . . 2.3 End-to-End Delay Bound . . . . . . . . . . . . . . . . . . . . . . . . . 2.4 Problem Description and Formulation: . . . . . . . . . . . . . . . . . 2.5 End-to-End QoS Divison Policies . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2.5.1 Equal Division Policy 31 . . . . . . . . . . . . . . . . . . . 2.5.2 Cost Based Division Policy 31 . . . . . . . . . . . . . . . . . . . . . . . . . 2.6 An Improved Algorithm 38 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2.7 Multicast Sgsion 39 2.7.1 Static Multicaçt Problem . . . . . . . . . . . . . . . . . . . . . 41 . . . . . . . . . . . . . . . . . . . 2.7.2 Dynamic Multicast Problem 42 . . . . . . . . . . . . . . . . . . . . . . . . . . 2.8 A Numerical Example 44 . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2.9 Simulation Results 46 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2.10 Summary 50 3 Multicast Quality of Service Routing 52 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3.1 Introduction 52 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3.1.1 Dekitions 56 . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3.2 Problem Statement 58 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3.3 Metric Selection 59 3.4 Path Selection Algorithms . . . . . . . . . . . . . . . . . . . . . . . . 62 . . . . . . . . . . . . . . . . . . . . . . 3.4.1 Shortest-Path heuristic 62 3.4.2 Nearest Destination First Heuristic . . . . . . . . . . . . . . . 66 . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3.5 Experimental Setup 71 . . . . . . . . . . . . . . 3.6 Perfomance Metric and Simulation Results 72 3.6. i Simulation Results . . . . . . . . . . . . . . . . . . . . . . . . 73 . . . . . . . . . . . . . . . . . . . . . . 3.6.2 Discussions of Results 84 3.6.3 Effect of distribution of degree across the network . . . . . . . 90 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3.7 Summary 90 4 Interaction between QoS Routing and Resource Allocation 91 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4.1 Introduction 91 . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4.2 Problem Definition 92 4.3 Performance of Cost vernis Equal Allocation Policy . . . . . . . . . . 95 . . . . . . . . . . . . . . . . . . . . . . . . 4.3.1 Numerical Example 98 . . . . . . . . . . . . . . . . . . . . . . . . . . . 4.4 QoS Routing schemes 100 5 Conclusions and Future Work 108 5.1 Conclusions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 108 5.2 F'utureWork.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 111 + A Glossary 114 B List Of Symbols 116 C Kuhn-Tucker Optimality Conditions 118 D Verifications of Kuhn-Tucker Optimality Conditions 121 E Pseudocode for Nearest Destination First Heuristic 123 Bibliography 126

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Canadian Commonwealth Fellowship, NSERC and Nortel. Cousin Ritu .. 4.5 C d Blocking under cost based allocation scheme .. 4.6 C d . Transmission Control Protocol (SCP) to provide end-to-end reliability, which further adds to the
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