Books in the Lecture Notes in Economics and Mathematical Systems series
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In the twenty-first century the sustainability of energy and transportation systems is on the top of the political agenda in many countries around the world.Environmental impacts of human economic activity necessitate the consideration of conflicting goals in decision making proc...esses to develop sustainable systems.
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This book examines the problem of maintenance planning and scheduling in industrial production systems. It presents two practically relevant, deterministic mathematical models: the capacitated planned maintenance problem (CPMP) and the weighted uncapacitated planned maintenance p...roblem (WUPMP).
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This book offers an approach for modeling and investigating economic and social systems using of agent-based simulations and other computational techniques, in order to analyze systems-level outcomes as results from the agents' behavior at the micro-level.
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Imbedding is a powerful and versatile tool for problem- solving. Rather than treat a question in isolation, we view it as a member of a family of related problems. Each member then becomes a stepping stone in a path to a simultaneous solution of the entire set of problems.
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Thi~d, the study of scheduling problems involves the study of combina- torial problems and optimization over discrete spaces which represent a radical, and interesting, departure from classical mathematics.
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There are many criteria which are to be considered: travel times, consumer's cost, construction cost, operating cost, expected fatalities and injuries, probability of delays, etc.
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During the last fifteen years certain very fundamental aspects of economic theory have been very actively debated. In this debate certain important foundations of economic theory have been criticized which are specifically important for understand- ing price formation and income ...distribution.
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At this point in time, there is no generally accepted methodology for explaining and predicting human behavior given a product choice situation. Given the attribute profiles of two products, in order to explain and predict preference, it is necessary to determine the relative imp...ortance of each of the product attributes.
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In the course of the last fifty years, mathematica1 too1s became a staple in the deve10pment of economic theory. Economists continue to invoke sophisticated and diverse mathematica1 ideas to understand and exp1ain comp1ex situations. This interdiscip1inary process brings the fie1...ds of mathematics and economics c10ser together. By now it is ap- parent that in order to advance our understanding of the socia1 sciences, there must be cooperation between mathematiciansand socia1 scientists. We be1ieve that this volume will contribute toward cooperation of this nature. On February 10-12, 1984, a conference on General Economic Equi1ib- rium Theory took p1ace on the campus of Indiana University -Purdue Uni- versity at Indianapo1is. This book is a co11ection of papers, some presented and others inspired by this conference. The authors had the difficu1t task of writing for two discrete audiences: Mathematicians unfami1iar with economic theory and Economists with moderate know1edge of advanced mathematics. The resu1ts presented in these papers faci1i- tate the advancement of both mathematics and economics. We take this opportunity to thank all the participants at the con- ference, with special thanks to the authors of the artic1es presented here. Also, we thank our institution Indiana University - Purdue Univer- sity at Indianapo1is and its office of sponsored research for a grant supporting this conference.
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