Synopses & Reviews
This volume contains articles focusing on the use of linear algebra as an indispensable tool in researching Markov chains and queueing models. Markov chains and queueing models play an increasingly important role in the understanding of complex systems, such as computer, communication, and transportation systems. The articles contained herein bring together practitioners and researchers from the areas of linear algebra, numerical analysis, and queueing theory, who share a common interest of analyzing and solving finite state Markov chains. The articles are grouped into three major categories: perturbation theory and error analysis; iterative methods; and applications regarding queueing models. These papers aim to provide the reader with an enlarged perspective of some of the major issues which are of current concern to both the pure and applied communities.
Synopsis
This IMA Volume in Mathematics and its Applications LINEAR ALGEBRA, MARKOV CHAINS, AND QUEUEING MODELS is based on the proceedings of a workshop which was an integral part of the 1991-92 IMA program on "Applied Linear Algebra." We thank Carl Meyer and R.J. Plemmons for editing the proceedings. We also take this opportunity to thank the National Science Founda tion, whose financial support made the workshop possible. A vner Friedman Willard Miller, Jr. xi PREFACE This volume contains some of the lectures given at the workshop Lin ear Algebra, Markov Chains, and Queueing Models held January 13-17, 1992, as part of the Year of Applied Linear Algebra at the Institute for Mathematics and its Applications. Markov chains and queueing models play an increasingly important role in the understanding of complex systems such as computer, communi cation, and transportation systems. Linear algebra is an indispensable tool in such research, and this volume collects a selection of important papers in this area. The articles contained herein are representative of the underlying purpose of the workshop, which was to bring together practitioners and re searchers from the areas of linear algebra, numerical analysis, and queueing theory who share a common interest of analyzing and solving finite state Markov chains. The papers in this volume are grouped into three major categories-perturbation theory and error analysis, iterative methods, and applications regarding queueing models."
Synopsis
This book presents recent research on Markov chains; the articles use linear algebra and queueing models and are grouped into three sections covering theory, models, and applications. This book will highlight current issues in the area and will be useful to both pure and applied mathematicians.