Nonlinear Optimization: Models and Applications

William P. Fox

dec. 2020 · CRC Press

E-bok

416

Sidor

Kvalificerad

Betyg och recensioner verifieras inte Läs mer

Om den här e-boken

Optimization is the act of obtaining the "best" result under given circumstances. In design, construction, and maintenance of any engineering system, engineers must make technological and managerial decisions to minimize either the effort or cost required or to maximize benefits. There is no single method available for solving all optimization problems efficiently. Several optimization methods have been developed for different types of problems. The optimum-seeking methods are mathematical programming techniques (specifically, nonlinear programming techniques).

Nonlinear Optimization: Models and Applications presents the concepts in several ways to foster understanding. Geometric interpretation: is used to re-enforce the concepts and to foster understanding of the mathematical procedures. The student sees that many problems can be analyzed, and approximate solutions found before analytical solutions techniques are applied. Numerical approximations: early on, the student is exposed to numerical techniques. These numerical procedures are algorithmic and iterative. Worksheets are provided in Excel, MATLAB®, and MapleTM to facilitate the procedure. Algorithms: all algorithms are provided with a step-by-step format. Examples follow the summary to illustrate its use and application.

Nonlinear Optimization: Models and Applications:

Emphasizes process and interpretation throughout

Presents a general classification of optimization problems

Addresses situations that lead to models illustrating many types of optimization problems

Emphasizes model formulations

Addresses a special class of problems that can be solved using only elementary calculus

Emphasizes model solution and model sensitivity analysis

About the author:

William P. Fox is an emeritus professor in the Department of Defense Analysis at the Naval Postgraduate School. He received his Ph.D. at Clemson University and has taught at the United States Military Academy and at Francis Marion University where he was the chair of mathematics. He has written many publications, including over 20 books and over 150 journal articles. Currently, he is an adjunct professor in the Department of Mathematics at the College of William and Mary. He is the emeritus director of both the High School Mathematical Contest in Modeling and the Mathematical Contest in Modeling.

Om författaren

Dr. William P. Fox is a professor in the Department of Defense Analysis at the Naval Postgraduate School and currently teaches a three course sequence in mathematical modeling for decision making. He received his Ph.D. at Clemson University. He has taught at the United States Military Academy and at Francis Marion University where he was the chair of mathematics for eight years. He has many publications and scholarly activities including sixteen books, one hundred and fifty journal articles, and about one hundred and fifty conference presentations, and workshops. He was Past- President of the Military Application Society of INFORMS and is the current Vice Chair for Programs for BIG SIGMAA.

Betygsätt e-boken

Berätta vad du tycker.

Läsinformation

Smartphones och surfplattor

Installera appen Google Play Böcker för Android och iPad/iPhone. Appen synkroniseras automatiskt med ditt konto så att du kan läsa online eller offline var du än befinner dig.

Laptops och stationära datorer

Du kan lyssna på ljudböcker som du har köpt på Google Play via webbläsaren på datorn.

Läsplattor och andra enheter

Om du vill läsa boken på enheter med e-bläck, till exempel Kobo-läsplattor, måste du ladda ned en fil och överföra den till enheten. Följ anvisningarna i hjälpcentret om du vill överföra filerna till en kompatibel läsplatta.

Rapportera olagligt innehåll