Graduate-level text on branch of applied mathematics using stochastic processes. Practical applications in aviation, telephone service, traffic, more. Exercises and problems. Extensive bibliography.

Elements of Queueing Theory

Business & Money

Thomas L. Saaty

Skills

McGraw=Hill

The first graduate-level text devoted to the subject, this classic offers a concise history and overview of methods as well as an excellent exposition of the mathematical foundations underlying classical operations research procedures. It begins with a review of historical, scientific, and mathematical aspects; examples and ideas related to classical methods of forming models introduce discussions of optimization, game theory, applications of probability, and queuing theory. Carefully selected exercises illustrate important and useful ideas. This text is an ideal introduction for students to the basic mathematics of operations research as well as a valuable source of references to early literature on operations research. 1959 edition.

Mathematical Methods Of Operational Research

Engineering & Transportation

Engineering

McGraw-Hill Book Company, Inc.

Thinking With Models: Mathematical Models in the Physical, Biological and Social Sciences (V. 2)

Science & Math

Joyce M. Alexander

Mathematics

Pergamon Pr

This is a rich and exciting collection of examples and application sin mathematical modeling. There is a broad variety , balance and highly motivating material and most of this assumes minimal mathematical training. Emphasis is on problem foundation rather than factual knowledge and routine specialized solution techniques provide the key element.

Thinking with models: Mathematical models in the physical, biological, and social sciences (International series in modern applied mathematics and computer science) (v. 2)

Pergamon

This note from Prof. Vargas regarding a competitive title by Prof. Saaty with an almost identical title (THEORY AND APPLICATIONS OF THE ANALYTIC NETWORK PROCESS: Decision Making with Benefits, Opportunities, Costs, and Risks. RWS Publications, 2005):  "The other book is theoretical with passing mention of examples to show how the subject is used. In our book (the one you have) the applications are different and given in full detail relevance and originality. They have never appeared in print as they are here and most users would prefer them to the theoretical book. In addition chapter 1 summarizes the theory given in four chapters on the book showing the important parts without going into too much detail. I would rather read this book than the other one definitely and this could not have been done so elegantly had not the other been written before. Therefore this book has the cream of the ideas and the best published applications so far." 

Decision Making with the Analytic Network Process: Economic, Political, Social and Technological Applications with Benefits, Opportunities, Costs and ... in Operations Research & Management Science)

Economics

Springer

"We are surrounded and deeply involved, in the natural world, with nonlinear events which are not necessarily mathematical," the authors write. "For example … the nonlinear problem of pedaling a bicycle up and down a hillside. On a grand scale … the struggle for existence between two species, one of which preys exclusively on the other." This book is for mathematicians and researchers who believe that "nonlinear mathematics is the mathematics of today"; it is also for economists, engineers, operations analysts, "the reader who has been thus bemused into an artificially linear conception of the universe." Nonlinear Mathematics is the first attempt to consider the widest range of nonlinear topic found in the scattered literature. Accessible to nonmathematics professionals as well as college seniors and graduates, it offers a discussion both particular and broad enough to stimulate research toward a unifying theory of nonlinear mathematics. Ideas are presented "according to existence and uniqueness theorems, characterization (e.g., stability and asymptotic behavior), construction of solutions, convergence, approximation, and errors." Contents include: Linear and nonlinear transformations Nonlinear algebraic and transcendental equations Nonlinear optimization; nonlinear programming and systems of inequalities Nonlinear ordinary differential equations Introduction to automatic control and the Pontryagin principle Linear and nonlinear prediction theory Exercises are given as guides through theorem proofs and methodology. Extensive bibliographies are appended to each section. "We have tried," write the authors, "to give more than a compilation of known techniques, to convey a spirit. In this spirit we integrate different topics of mathematics to show their interrelations, to stimulate inventiveness through variety, and to emphasize their origins from interaction with natural phenomena in physics, engineering, and economics." This examination of nonlinear mathematics gives a panoramic introduction (suitable for self-study) to a crucial field in contemporary research.

Nonlinear Mathematics (Dover Books on Mathematics)

Joseph Bram

Dover Publications

Compact City is about finding better ways to develop urban areas.

Compact City: A Plan for a Liveable Urban Environment

Arts & Photography

George Bernard Dantzig

Architecture

W.H.Freeman and Co

Models, Methods, Concepts and Applications of the Analytic Hierarchy Process is a volume dedicated to selected applications of the Analytic Hierarchy Process (AHP) focused on three themes: economics, the social sciences, and the linking of measurement with human values. (1) The AHP offers economists a substantially different approach to dealing with economic problems through ratio scales. The main mathematical models on which economics has based its quantitative thinking up to now are utility theory, which uses interval scales, and linear programming. We hope that the variety of examples included here can perhaps stimulate researchers in economics to try applying this new approach. (2) The second theme is concerned with the social sciences. The AHP offers psychologists and political scientists the methodology to quantify and derive measurements for intangibles. We hope that the examples included in this book will encourage them to examine the methods of AHP in terms of the problems they seek to solve. (3) The third theme is concerned with providing people in the physical and engineering sciences with a quantitative method to link hard measurement to human values. In such a process one needs to interpret what the measurements mean. A number is useless until someone understands what it means. It can have different meanings in different problems. Ten dollars are plenty to satisfy one's hunger but are useless by themselves in buying a new car. Such measurements are only indicators of the state of a system, but do not relate to the values of the human observers of that system. AHP methods can help resolve the conflicts between hard measurement data and human values.

Models, Methods, Concepts & Applications of the Analytic Hierarchy Process (International Series in Operations Research & Management Science)

Decision Making for Leaders: The Analytic Hierarchy Process for Decisions in a Complex World

Management & Leadership

Rws Pubns

Multicriteria Decision Making

Reference

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Books by Thomas L. Saaty