Optimization in engineering. Models and algorithms
type: Item
instance of: scholarly article
title: Optimization in engineering. Models and algorithms
zbMATH Open document ID: 1372.90001
DOI: 10.1007/978-3-319-56769-3
author: Ramteen Sioshansi
author: Antonio J. Conejo
published in: Springer Optimization and Its Applications
publication date: 2017-05-15T00:00:00Z
review text: This textbook, containing six chapters, provides an insight on optimization methods that are applicable to engineering. The book begins with an introduction to optimization and provides the basic definitions, notation and preliminary examples. This is followed by a gentle introduction to linear programming via a series of applied example problems that are solved in detail, before advancing to areas such as the Simplex method, duality and sensitivity analysis. The third chapter considers integer programming optimization methods and their solution approaches, which include branch and bound methods and cutting plane algorithms. The solution techniques are explained in great detail both in step-by-step iterations and as a pseudocode, and a large number of charts in color help understand how these techniques work. The authors move on to explore nonlinear optimization, both unconstrained and constrained, examining the feasibility and convexity of several categories of problems, their optimality conditions, sensitivity analysis of the solution and sample computer code. The fifth chapter considers iterative methods for optimization derived from numerical analysis, including the steepest descent, Newton methods and Lagrangian relaxation. The book concludes with a chapter on dynamical programming and its applications and two annexes containing the more advanced mathematical background related to this textbook. Each chapter of this very interesting book concludes with a list of references and a number of exercises for the interested student.
reviewed by: Efstratios Rappos
Mathematics Subject Classification ID: 90-01
Mathematics Subject Classification ID: 90C05
Mathematics Subject Classification ID: 90C11
Mathematics Subject Classification ID: 90C30
Mathematics Subject Classification ID: 90C39
Mathematics Subject Classification ID: 90C90
zbMATH DE Number: 6715421
zbMATH Keywords: optimization
zbMATH Keywords: linear programming
zbMATH Keywords: integer programming
zbMATH Keywords: nonlinear optimization
zbMATH Keywords: dynamic programming
describes a project that uses: Gurobi
describes a project that uses: CONOPT
describes a project that uses: MINOS
describes a project that uses: KNITRO
describes a project that uses: AMPL
describes a project that uses: CPLEX
describes a project that uses: GAMS
describes a project that uses: AIMMS
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1007/978-3-319-56769-3
OpenAlex ID: W2657582327
description: scientific article; zbMATH DE number 6715421