{"product_id":"building-and-solving-mathematical-programming-models-in-engineering-and-science-9780471150435","title":"Building and Solving Mathematical Programming Models in Engineering and Science","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eModeling is one of the most appealing areas in engineering and applied sciences. Engineers need to build models to solve real life problems. The aim of a model consists of reproducing the reality as faithfully as possible, trying to understand how the real world behaves, and obtaining the expected responses to given actions or inputs.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003e\"...plenty of examples are given...suitable for mathematical programming undergraduate courses...\" (\u003ci\u003eZentralblatt Math\u003c\/i\u003e, Vol. 1029, 2004)  \u003cp\u003e\"I think this textbook is worth having in the college library…” (\u003ci\u003eInterfaces\u003c\/i\u003e, July-August 2003)\u003c\/p\u003e \u003cp\u003e\"...can be quite valuable because of its documentation of the GAMS software product...a means to learn and utilize a sophisticated linear and nonlinear programming tool.\" (\u003ci\u003eJournal of Mathematical Psychology\u003c\/i\u003e, 2002)\u003c\/p\u003e \u003cp\u003e\"...a welcome addition to the series of publications on mathematical programming applications to engineering problems...\" Note: Review features an image of wiley.com. (\u003ci\u003eIEEE Computer Applications in Power\u003c\/i\u003e)\u003c\/p\u003e \u003cp\u003e\"...intention is to discuss the subject from an angle different from the standard, emphasizing conditions leading to well-defined problems, compatibility and uniqueness of solutions.\" (\u003ci\u003eMathematical Reviews\u003c\/i\u003e, 2002i)\u003c\/p\u003e \u003cp\u003e\"...a useful and welcome addition to existing books on mathematical programming…I recommend this book...\" (\u003ci\u003eIIE Transactions\u003c\/i\u003e)\u003c\/p\u003e \u003cp\u003e\"...very well suited as a professional reference or as a text for advanced mathematics or engineering courses.\" (\u003ci\u003eJournal of Applied Mathematics and Stochastic Analysis\u003c\/i\u003e, Vol. 15, No. 4)\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e\u003cb\u003ePreface xiii\u003c\/b\u003e  \u003cp\u003eI Models 1\u003c\/p\u003e \u003cp\u003e\u003cb\u003e1 Linear Programming 3\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e1.1 Introduction 3\u003c\/p\u003e \u003cp\u003e1.2 The Transportation Problem 4\u003c\/p\u003e \u003cp\u003e1.3 The Production Scheduling Problem 6\u003c\/p\u003e \u003cp\u003e1.4 The Diet Problem 9\u003c\/p\u003e \u003cp\u003e1.5 The Network Flow Problem 11\u003c\/p\u003e \u003cp\u003e1.6 The Portfolio Problem 13\u003c\/p\u003e \u003cp\u003e1.7 Scaffolding System 15\u003c\/p\u003e \u003cp\u003e1.8 Electric Power Economic Dispatch 18\u003c\/p\u003e \u003cp\u003e\u003cb\u003e2 Mixed-Integer Linear Programming 25\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e2.1 Introduction 25\u003c\/p\u003e \u003cp\u003e2.2 The 0-1 Knapsack Problem 25\u003c\/p\u003e \u003cp\u003e2.3 Identifying Relevant Symptoms 27\u003c\/p\u003e \u003cp\u003e2.4 The Academy Problem 29\u003c\/p\u003e \u003cp\u003e2.5 School Timetable Problem 32\u003c\/p\u003e \u003cp\u003e2.6 Models of Discrete Location 35\u003c\/p\u003e \u003cp\u003e2.7 Unit Commitment of Thermal Power Units 38\u003c\/p\u003e \u003cp\u003e3 \u003cb\u003eNonlinear Programming\u003c\/b\u003e 47\u003c\/p\u003e \u003cp\u003e3.1 Introduction 47\u003c\/p\u003e \u003cp\u003e3.2 Some Geometrically Motivated Examples 47\u003c\/p\u003e \u003cp\u003e3.3 Some Mechanically Motivated Examples 51\u003c\/p\u003e \u003cp\u003e3.4 Some Electrically Motivated Examples 55\u003c\/p\u003e \u003cp\u003e3.5 The Matrix Balancing Problem 62\u003c\/p\u003e \u003cp\u003e3.6 The Traffic Assignment Problem 64\u003c\/p\u003e \u003cp\u003e\u003cb\u003eII Methods 71\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003e4 An Introduction to Linear Programming 73\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e4.1 Introduction 73\u003c\/p\u003e \u003cp\u003e4.2 Problem Statement and Basic Definitions 73\u003c\/p\u003e \u003cp\u003e4.3 Linear Programming Problem in Standard Form 78\u003c\/p\u003e \u003cp\u003e4.4 Basic Solutions 81\u003c\/p\u003e \u003cp\u003e4.5 Sensitivities 83\u003c\/p\u003e \u003cp\u003e4.6 Duality 84\u003c\/p\u003e \u003cp\u003e\u003cb\u003e5 Understanding the Set of All Feasible Solutions 97\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e5.1 Introduction and Motivation 97\u003c\/p\u003e \u003cp\u003e5.2 Convex Sets 101\u003c\/p\u003e \u003cp\u003e5.3 Linear Spaces 105\u003c\/p\u003e \u003cp\u003e5.4 Polyhedral Convex Cones 107\u003c\/p\u003e \u003cp\u003e5.5 Polytopes 109\u003c\/p\u003e \u003cp\u003e5.6 Polyhedra 110\u003c\/p\u003e \u003cp\u003e5.7 Bounded and Unbounded LPP 113\u003c\/p\u003e \u003cp\u003e\u003cb\u003e 6 Solving the Linear Programming Problem 117\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e6.1 Introduction 117\u003c\/p\u003e \u003cp\u003e6.2 The Simplex Method 118\u003c\/p\u003e \u003cp\u003e6.3 The Exterior Point Method 140\u003c\/p\u003e \u003cp\u003e\u003cb\u003e7 Mixed-Integer Linear Programming 161\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e7.1 Introduction 161\u003c\/p\u003e \u003cp\u003e7.2 The Branch-Bound Method 162\u003c\/p\u003e \u003cp\u003e7.3 The Gomory Cuts Method 172\u003c\/p\u003e \u003cp\u003e\u003cb\u003e8 Optimality and Duality in Nonlinear Programming 183\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e8.1 Introduction 183\u003c\/p\u003e \u003cp\u003e8.2 Necessary Optimality Conditions 188\u003c\/p\u003e \u003cp\u003e8.2.1 Differentiability 188\u003c\/p\u003e \u003cp\u003e8.3 Optimality Conditions: Sufficiency and Convexity 207\u003c\/p\u003e \u003cp\u003e8.4 Duality Theory 216\u003c\/p\u003e \u003cp\u003e8.5 Practical Illustration of Duality and Separability 221\u003c\/p\u003e \u003cp\u003e8.6 Constraint Qualifications 226\u003c\/p\u003e \u003cp\u003e\u003cb\u003e9 Computational Methods for Nonlinear Programming 235\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e9.1 Unconstrained Optimization Algorithms 236\u003c\/p\u003e \u003cp\u003e9.2 Constrained Optimization Algorithms 254\u003c\/p\u003e \u003cp\u003e9.2.1 Dual Methods 254\u003c\/p\u003e \u003cp\u003e\u003cb\u003eIII Software 283\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003e10 The GAMS Package 285\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e10.1 Introduction 285\u003c\/p\u003e \u003cp\u003e10.2 Illustrative Example 286\u003c\/p\u003e \u003cp\u003e10.3 Language Features 290\u003c\/p\u003e \u003cp\u003e\u003cb\u003e11 Some Examples Using GAMS 311\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e11.1 Introduction 311\u003c\/p\u003e \u003cp\u003e11.2 Linear Programming Examples 311\u003c\/p\u003e \u003cp\u003e11.3 Mixed-Integer LPP Examples 330\u003c\/p\u003e \u003cp\u003e11.4 Nonlinear Programming Examples 344\u003c\/p\u003e \u003cp\u003e\u003cb\u003eIV Applications 369\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003e12 Applications 371\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e12.1 Applications to Artificial Intelligence 371\u003c\/p\u003e \u003cp\u003e12.2 Applications to CAD 378\u003c\/p\u003e \u003cp\u003e12.3 Applications to Probability 387\u003c\/p\u003e \u003cp\u003e12.4 Regression Models 395\u003c\/p\u003e \u003cp\u003e12.5 Applications to Optimization Problems 401\u003c\/p\u003e \u003cp\u003e12.6 Transportation Systems 417\u003c\/p\u003e \u003cp\u003e12.7 Short-Term Hydrothermal Coordination 442\u003c\/p\u003e \u003cp\u003e\u003cb\u003e13 Some Useful Modeling Tricks 451\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e13.1 Introduction 451\u003c\/p\u003e \u003cp\u003e13.2 Some General Tricks 451\u003c\/p\u003e \u003cp\u003e13.3 Some GAMS Tricks 466\u003c\/p\u003e \u003cp\u003e\u003cb\u003eA Compatibility and Set of All Feasible Solutions 477\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eA.l The Dual Cone 478\u003c\/p\u003e \u003cp\u003eA.2 Cone Associated with a Polyhedron 480\u003c\/p\u003e \u003cp\u003eA.3 The Γ Procedure 483\u003c\/p\u003e \u003cp\u003eA.4 Compatibility of Linear Systems 488\u003c\/p\u003e \u003cp\u003eA.5 Solving Linear Systems 491\u003c\/p\u003e \u003cp\u003eA.6 Applications to Several Examples 494\u003c\/p\u003e \u003cp\u003e\u003cb\u003eB Notation 517\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003eBibliography 533\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003eIndex 541\u003c\/b\u003e\u003c\/p\u003e","brand":"Wiley","offers":[{"title":"Default Title","offer_id":53515421876567,"sku":"9780471150435","price":161.95,"currency_code":"GBP","in_stock":true}],"url":"https:\/\/bookcurl.com\/products\/building-and-solving-mathematical-programming-models-in-engineering-and-science-9780471150435","provider":"Book Curl","version":"1.0","type":"link"}