03318nam 22004693 450 991091579210332120231023084510.02-7598-3165-510.1051/978-2-7598-3165-4(CKB)28305454800041(MiAaPQ)EBC30800157(Au-PeEL)EBL30800157(PPN)273094858(DE-B1597)671782(DE-B1597)9782759831654(EXLCZ)992830545480004120231023d2023 uy 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierOptimization Techniques II Discrete and Functional Optimization1st ed.Les Ulis :EDP Sciences,2023.©2023.1 online resource (478 pages)Current Natural Sciences Series9782759831630 Intro -- Optimization Techniques II -- Preface -- Introduction -- Table of contents -- 1. Mixed linear programming -- 1.1 Formulation -- 1.2 Cutting methods -- 1.3 Tree methods -- 1.4 Applications -- 1.5 Quadratic problem -- 1.6 Conclusion -- 2. Discrete optimization -- 2.1 Combinatorial problem -- 2.2 Path problem -- 2.3 Scheduling problem -- 2.4 Flow problem -- 2.5 Assignment problem -- 2.6 Heuristics -- 2.7 Conclusion -- 3. Functional optimization -- 3.1 Formulation -- 3.2 Optimality conditions -- 3.3 Constraints -- 3.4 Canonical form -- 3.5 Dynamic system -- 3.6 Conclusion -- 4. Optimal control -- 4.1 Optimality conditions -- 4.2 Constraints -- 4.3 Extremals -- 4.4 Optimality conditions of second order -- 4.5 Conclusion -- 5. Numerical methods in optimal control -- 5.1 Transcription -- 5.2 Runge-Kutta methods -- 5.3 Adams methods -- 5.4 Collocation methods -- 5.5 Direct methods -- 5.6 Indirect methods -- 5.7 Conclusion -- Index -- Short bibliography.This book in two volumes provides an overview of continuous, discrete and functional optimization techniques. This second volume is devoted to discrete optimization (problems with integer variables) and functional optimization (problems where the unknown is a function). The topics covered are: • mixed linear programming: cutting methods and tree methods; • combinatorial optimization based on graphs: path, flow, assignment problems . ; • the computation of variations based on Euler-Lagrange conditions and their extensions; • optimal control based on the Pontryaguin maximum principle and its extensions; • numerical methods: differential equations, direct and indirect methods. The emphasis is on understanding the principles rather than on mathematical rigor. Each concept or algorithm is accompanied by a detailed example to help you grasp the main ideas. This book is the result of 30 years of experience and is intended for students, researchers and engineers wishing to acquire a general knowledge in the field of optimization.Current Natural Sciences SeriesMATHEMATICS / AppliedbisacshMATHEMATICS / Applied.Cerf Max1775972MiAaPQMiAaPQMiAaPQBOOK9910915792103321Optimization Techniques II4303341UNINA