Synopses & Reviews
This work fills an important gap in the literature by providing an important link between MAPLE and its successful use in solving problems in Operations Research (OR). The symbolic, numerical, and graphical aspects of MAPLE make this software package an ideal tool for treating certain OR problems and providing descriptive and optimization-based analyses of deterministic and stochastic models. Detailed is MAPLE's treatment of some of the mathematical techniques used in OR modeling: e.g., algebra and calculus, ordinary and partial differential equations, linear algebra, transform methods, and probability theory. A number of examples of OR techniques and applications are presented, such as linear and nonlinear programming, dynamic programming, stochastic processes, inventory models, queueing systems, and simulation. Throughout the text MAPLE statements used in the solutions of problems are clearly explained. At the same time, technical background material is presented in a rigorous mathematical manner to reach the OR novice and professional. Numerous end-of- chapter exercises, a good bibliography and overall index at the end of the book are also included, as well as MAPLE worksheets that are easily downloadable from the author's website at www.business.mcmaster.ca/msis/profs/parlar, or from the Birkhauser website at www.birkhauser.com/cgi-win/ISBN/0-8176-4165-3. The book is intended for advanced undergraduate and graduate students in operations research, management science departments of business schools, industrial and systems engineering, economics, and mathematics. As a self-study resource, the text can be used by researchers and practitioners who want a quick overview of MAPLE's usefulness in solving realistic OR problems that would be difficult or impossible to solve with other software packages.
Review
"This book is unique in that it is the only one that uses MAPLE®'s abilities to solve OR problems, many of which would be impossible to solve with other software. Many problems in stochastic processes, queueing theory, inventory, etc., are now easy to tackle using MAPLE®'s symbolic manipulation capabilities." -The MAPLE® Reporter "Almost every MAPLE® statement used in the solution of a problem is clearly explained. At the same time, technical background material is presented in a mathematical manner to reach the OR novice and professional. All MAPLE® worksheets are downloadable form the author's website at www.business.mcmaster.ca/msis/profs/parlar" -Simulation News Europe
Synopsis
Interactive Operations Research with Maple: Methods and Models has two ob- jectives: to provide an accelerated introduction to the computer algebra system Maple and, more importantly, to demonstrate Maple's usefulness in modeling and solving a wide range of operations research (OR) problems. This book is written in a format that makes it suitable for a one-semester course in operations research, management science, or quantitative methods. A nwnber of students in the departments of operations research, management science, oper- ations management, industrial and systems engineering, applied mathematics and advanced MBA students who are specializing in quantitative methods or opera- tions management will find this text useful. Experienced researchers and practi- tioners of operations research who wish to acquire a quick overview of how Maple can be useful in solving OR problems will find this an excellent reference. Maple's mathematical knowledge base now includes calculus, linear algebra, ordinary and partial differential equations, nwnber theory, logic, graph theory, combinatorics, statistics and transform methods. Although Maple's main strength lies in its ability to perform symbolic manipulations, it also has a substantial knowledge of a large nwnber of nwnerical methods and can plot many different types of attractive-looking two-dimensional and three-dimensional graphs. After almost two decades of continuous improvement of its mathematical capabilities, Maple can now boast a user base of more than 300,000 academics, researchers and students in different areas of mathematics, science and engineering.
Synopsis
The MAPLE software's computational and graphical applications are ideally suited for deriving precise analytic solutions to problems in OR/management science and its related disciplines of operations management, business and economics, and industrial and systems engineering. This book provides a detailed treatment of MAPLE and the mathematical techniques used in OR problem solving and modeling. Numerous examples of OR techniques are presented, such as linear and nonlinear programming, dynamic programming, optimal control, and stochastic processes. All MAPLE worksheets will be available online.
Table of Contents
Preface * 1. Introduction to Operations Research * 2. A Quick Tour of Maple * 3. Maple and Mathematical Foundations of Operations Research * 4. Linear Programming * 5. Nonlinear Programming * 6. Dynamic Programming * 7. Stochastic Processes * 8. Inventory Models * 9. Queueing Systems * 10. Simulation * References * Index