Mathematical Foundations for Design: Civil Engineering Systems
Typical mathematical techniques of operations research and systems engineering are developed in this text, which applies these methods to the design and operation of civil engineering systems. Its problem-solving examples ― many adapted from the research literature ― span a cross-section of applications in transportation design, traffic control, water resource design and operation, structural design, and construction management.
An introductory chapter on methodology is followed by six chapters on optimization and design. Chapters 2 through 4 address linear optimization; chapter 5 develops topics in nonlinear optimization; chapter 6 comprises examples of dynamic programming; and chapter 7 deals with sequencing, scheduling, and routing. The final chapters, 8 through 12, provide a review of basic probability and discuss applied probability. Topics include optimization of expected values of random performance (chapter 10); random models with applications to design and operation, including reliability and queuing systems (chapter 11); and operational techniques yielding solutions to more complex models of random phenomena (chapter 12). Five appendixes provide economic and probability tables, in addition to useful information about curve fitting, mathematical induction, and difference equations.
Suitable for undergraduate and graduate courses in civil engineering systems, probabilistic engineering analysis, and design optimization, this volume is an excellent reference for professionals.
1101228541
Mathematical Foundations for Design: Civil Engineering Systems
Typical mathematical techniques of operations research and systems engineering are developed in this text, which applies these methods to the design and operation of civil engineering systems. Its problem-solving examples ― many adapted from the research literature ― span a cross-section of applications in transportation design, traffic control, water resource design and operation, structural design, and construction management.
An introductory chapter on methodology is followed by six chapters on optimization and design. Chapters 2 through 4 address linear optimization; chapter 5 develops topics in nonlinear optimization; chapter 6 comprises examples of dynamic programming; and chapter 7 deals with sequencing, scheduling, and routing. The final chapters, 8 through 12, provide a review of basic probability and discuss applied probability. Topics include optimization of expected values of random performance (chapter 10); random models with applications to design and operation, including reliability and queuing systems (chapter 11); and operational techniques yielding solutions to more complex models of random phenomena (chapter 12). Five appendixes provide economic and probability tables, in addition to useful information about curve fitting, mathematical induction, and difference equations.
Suitable for undergraduate and graduate courses in civil engineering systems, probabilistic engineering analysis, and design optimization, this volume is an excellent reference for professionals.
29.95 In Stock
Mathematical Foundations for Design: Civil Engineering Systems

Mathematical Foundations for Design: Civil Engineering Systems

Mathematical Foundations for Design: Civil Engineering Systems

Mathematical Foundations for Design: Civil Engineering Systems

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Overview

Typical mathematical techniques of operations research and systems engineering are developed in this text, which applies these methods to the design and operation of civil engineering systems. Its problem-solving examples ― many adapted from the research literature ― span a cross-section of applications in transportation design, traffic control, water resource design and operation, structural design, and construction management.
An introductory chapter on methodology is followed by six chapters on optimization and design. Chapters 2 through 4 address linear optimization; chapter 5 develops topics in nonlinear optimization; chapter 6 comprises examples of dynamic programming; and chapter 7 deals with sequencing, scheduling, and routing. The final chapters, 8 through 12, provide a review of basic probability and discuss applied probability. Topics include optimization of expected values of random performance (chapter 10); random models with applications to design and operation, including reliability and queuing systems (chapter 11); and operational techniques yielding solutions to more complex models of random phenomena (chapter 12). Five appendixes provide economic and probability tables, in addition to useful information about curve fitting, mathematical induction, and difference equations.
Suitable for undergraduate and graduate courses in civil engineering systems, probabilistic engineering analysis, and design optimization, this volume is an excellent reference for professionals.

Product Details

ISBN-13: 9780486438986
Publisher: Dover Publications
Publication date: 01/05/2005
Series: Dover Civil and Mechanical Engineering Series
Pages: 606
Product dimensions: 5.37(w) x 8.50(h) x (d)

Table of Contents

Preface
1. Methodology
2. Linear Programming
3. Applications of Linear Programming
4. Additional Linear Methods
5. Nonlinear Optimization
6. Dynamic Programming
7. Sequencing, Routing, and Scheduling
8. Random Variables and Probability
9. Probability Functions from Random Models
10. Mathematical Expectation
11. Random Models and Queues
12. Operational Techniques for Random Models
Appendices
Solutions to Selected Problems
Index
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