LEADER 03946nam 22006015 450 001 9910495200503321 005 20251204104844.0 010 $a3-030-73237-1 024 7 $a10.1007/978-3-030-73237-0 035 $a(CKB)5600000000003545 035 $a(MiAaPQ)EBC6716495 035 $a(Au-PeEL)EBL6716495 035 $a(OCoLC)1266360672 035 $a(PPN)257350950 035 $a(DE-He213)978-3-030-73237-0 035 $a(EXLCZ)995600000000003545 100 $a20210831d2021 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aBusiness Optimization Using Mathematical Programming $eAn Introduction with Case Studies and Solutions in Various Algebraic Modeling Languages /$fby Josef Kallrath 205 $a2nd ed. 2021. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2021. 215 $a1 online resource (653 pages) 225 1 $aInternational Series in Operations Research & Management Science,$x2214-7934 ;$v307 311 08$a3-030-73236-3 320 $aIncludes bibliographical references and index. 327 $aOptimization: Using Models, Validating Models, Solutions, Answers -- From the Problem to its Mathematical Formulation -- Mathematical Solution Techniques -- Problems Solvable Using Linear Programming -- How Optimization is Used in Practice: Case Studies in Linear Programming -- Modeling Structures Using Mixed Integer Programming -- Types of Mixed Integer Linear Programming Problems -- Case Studies and Problem Formulations -- User Control of the Optimization Process and Improving Efficiency -- How Optimization is Used in Practice: Case Studies in Integer Programming -- Beyond LP and MILP Problems -- Mathematical Solution Techniques - The Nonlinear World -- Global Optimization in Practice -- Polylithic Modeling and Solution Approaches -- Cutting & Packing beyond and within Mathematical Programming -- The Impact and Implications of Optimization -- Concluding Remarks and Outlook. 330 $aThis book presents a structured approach to formulate, model, and solve mathematical optimization problems for a wide range of real world situations. Among the problems covered are production, distribution and supply chain planning, scheduling, vehicle routing, as well as cutting stock, packing, and nesting. The optimization techniques used to solve the problems are primarily linear, mixed-integer linear, nonlinear, and mixed integer nonlinear programming. The book also covers important considerations for solving real-world optimization problems, such as dealing with valid inequalities and symmetry during the modeling phase, but also data interfacing and visualization of results in a more and more digitized world. The broad range of ideas and approaches presented helps the reader to learn how to model a variety of problems from process industry, paper and metals industry, the energy sector, and logistics using mathematical optimization techniques. 410 0$aInternational Series in Operations Research & Management Science,$x2214-7934 ;$v307 606 $aOperations research 606 $aManagement science 606 $aMathematical optimization 606 $aOperations Research and Decision Theory 606 $aOperations Research, Management Science 606 $aContinuous Optimization 615 0$aOperations research. 615 0$aManagement science. 615 0$aMathematical optimization. 615 14$aOperations Research and Decision Theory. 615 24$aOperations Research, Management Science. 615 24$aContinuous Optimization. 676 $a519.7 700 $aKallrath$b Josef$0117371 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910495200503321 996 $aBusiness optimization using mathematical programming$9416569 997 $aUNINA