LEADER 03318nam 22004693 450 001 9910915792103321 005 20231023084510.0 010 $a2-7598-3165-5 024 7 $a10.1051/978-2-7598-3165-4 035 $a(CKB)28305454800041 035 $a(MiAaPQ)EBC30800157 035 $a(Au-PeEL)EBL30800157 035 $a(PPN)273094858 035 $a(DE-B1597)671782 035 $a(DE-B1597)9782759831654 035 $a(EXLCZ)9928305454800041 100 $a20231023d2023 uy 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aOptimization Techniques II $eDiscrete and Functional Optimization 205 $a1st ed. 210 1$aLes Ulis :$cEDP Sciences,$d2023. 210 4$dİ2023. 215 $a1 online resource (478 pages) 225 1 $aCurrent Natural Sciences Series 311 $a9782759831630 327 $aIntro -- 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. 330 $aThis book in two volumes provides an overview of continuous, discrete and functional optimization techniques. This second volume is devoted to discrete optimization (problems with integer variables) and functional optimization (problems where the unknown is a function). The topics covered are: ? mixed linear programming: cutting methods and tree methods; ? combinatorial optimization based on graphs: path, flow, assignment problems . ; ? the computation of variations based on Euler-Lagrange conditions and their extensions; ? optimal control based on the Pontryaguin maximum principle and its extensions; ? numerical methods: differential equations, direct and indirect methods. The emphasis is on understanding the principles rather than on mathematical rigor. Each concept or algorithm is accompanied by a detailed example to help you grasp the main ideas. This book is the result of 30 years of experience and is intended for students, researchers and engineers wishing to acquire a general knowledge in the field of optimization. 410 0$aCurrent Natural Sciences Series 606 $aMATHEMATICS / Applied$2bisacsh 615 7$aMATHEMATICS / Applied. 700 $aCerf$b Max$01775972 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910915792103321 996 $aOptimization Techniques II$94303341 997 $aUNINA