000 09960cam a22003974a 4500
001 u8471
003 SA-PMU
005 20210418123547.0
008 050901s2006 njuab b 001 0 eng
010 _a 2005044611
040 _aDLC
_beng
_cDLC
_dBAKER
_dUKM
_dC#P
_dYUS
_dCOO
_dYDXCP
_dBTCTA
_dIG#
_dDEBBG
_dBDX
_dHDC
_dGBVCP
_dOCLCF
020 _a0471558141 (cloth)
020 _a9780471558149
035 _a(OCoLC)61463772
042 _apcc
050 0 0 _aTA342
_b.R44 2006
082 0 0 _a620/.0042
_222
100 1 _aRavindran, A.,
_d1944-
245 1 0 _aEngineering optimization :
_bmethods and applications /
_cA. Ravindran, K.M. Ragsdell, G.V. Reklaitis.
250 _a2nd ed.
260 _aHoboken, N.J. :
_bJohn Wiley & Sons,
_cc2006.
300 _axv, 667 p. :
_bill., map ;
_c25 cm.
500 _aReklaitis' name appears first on the earlier edition.
504 _aIncludes bibliographical references and indexes.
505 0 0 _g1
_tIntroduction to Optimization
_g1 --
_g1.1
_tRequirements for the Application of Optimization Methods
_g2 --
_g1.1.1
_tDefining the System Boundaries
_g2 --
_g1.1.2
_tPerformance Criterion
_g3 --
_g1.1.3
_tIndependent Variables
_g4 --
_g1.1.4
_tSystem Model
_g5 --
_g1.2
_tApplications of Optimization in Engineering
_g6 --
_g1.2.1
_tDesign Applications
_g8 --
_g1.2.2
_tOperations and Planning Applications
_g15 --
_g1.2.3
_tAnalysis and Data Reduction Applications
_g20 --
_g1.2.4
_tClassical Mechanics Applications
_g26 --
_g1.2.5
_tTaguchi System of Quality Engineering
_g27 --
_g1.3
_tStructure of Optimization Problems
_g28 --
_g2
_tFunctions of a Single Variable
_g32 --
_g2.1
_tProperties of Single-Variable Functions
_g32 --
_g2.2
_tOptimality Criteria
_g35 --
_g2.3
_tRegion Elimination Methods
_g45 --
_g2.3.1
_tBounding Phase
_g46 --
_g2.3.2
_tInterval Refinement Phase
_g48 --
_g2.3.3
_tComparison of Region Elimination Methods
_g53 --
_g2.4
_tPolynomial Approximation or Point Estimation Methods
_g55 --
_g2.4.1
_tQuadratic Estimation Methods
_g56 --
_g2.4.2
_tSuccessive Quadratic Estimation Method
_g58 --
_g2.5
_tMethods Requiring Derivatives
_g61 --
_g2.5.1
_tNewton-Raphson Method
_g61 --
_g2.5.2
_tBisection Method
_g63 --
_g2.5.3
_tSecant Method
_g64 --
_g2.5.4
_tCubic Search Method
_g65 --
_g2.6
_tComparison of Methods
_g69 --
_g3
_tFunctions of Several Variables
_g78 --
_g3.1
_tOptimality Criteria
_g80 --
_g3.2
_tDirect-Search Methods
_g84 --
_g3.2.1
_tThe S[superscript 2] (Simplex Search) Method
_g86 --
_g3.2.2
_tHooke-Jeeves Pattern Search Method
_g92 --
_g3.2.3
_tPowell's Conjugate Direction Method
_g97 --
_g3.3
_tGradient-Based Methods
_g108 --
_g3.3.1
_tCauchy's Method
_g109 --
_g3.3.2
_tNewton's Method
_g111 --
_g3.3.3
_tModified Newton's Method
_g115 --
_g3.3.4
_tMarquardt's Method
_g116 --
_g3.3.5
_tConjugate Gradient Methods
_g117 --
_g3.3.6
_tQuasi-Newton Methods
_g123 --
_g3.3.7
_tTrust Regions
_g127 --
_g3.3.8
_tGradient-Based Algorithm
_g128 --
_g3.3.9
_tNumerical Gradient Approximations
_g129 --
_g3.4
_tComparison of Methods and Numerical Results
_g130 --
_g4
_tLinear Programming
_g149 --
_g4.1
_tFormulation of Linear Programming Models
_g149 --
_g4.2
_tGraphical Solution of Linear Programs in Two Variables
_g154 --
_g4.3
_tLinear Program in Standard Form
_g158 --
_g4.3.1
_tHandling Inequalities
_g159 --
_g4.3.2
_tHandling Unrestricted Variables
_g159 --
_g4.4
_tPrinciples of the Simplex Method
_g161 --
_g4.4.1
_tMinimization Problems
_g172 --
_g4.4.2
_tUnbounded Optimum
_g173 --
_g4.4.3
_tDegeneracy and Cycling
_g174 --
_g4.4.4
_tUse of Artificial Variables
_g174 --
_g4.4.5
_tTwo-Phase Simplex Method
_g176 --
_g4.5
_tComputer Solution of Linear Programs
_g177 --
_g4.5.1
_tComputer Codes
_g177 --
_g4.5.2
_tComputational Efficiency of the Simplex Method
_g179 --
_g4.6
_tSensitivity Analysis in Linear Programming
_g180 --
_g4.7
_tApplications
_g183 --
_g4.8
_tAdditional Topics in Linear Programming
_g183 --
_g4.8.1
_tDuality Theory
_g184 --
_g4.8.2
_tDual Simplex Method
_g188 --
_g4.8.3
_tInterior Point Methods
_g189 --
_g4.8.4
_tInteger Programming
_g205 --
_g4.8.5
_tGoal Programming
_g205 --
_g5
_tConstrained Optimality Criteria
_g218 --
_g5.1
_tEquality-Constrained Problems
_g218 --
_g5.2
_tLagrange Multipliers
_g219 --
_g5.3
_tEconomic Interpretation of Lagrange Multipliers
_g224 --
_g5.4
_tKuhn-Tucker Conditions
_g225 --
_g5.4.1
_tKuhn-Tucker Conditions or Kuhn-Tucker Problem
_g226 --
_g5.4.2
_tInterpretation of Kuhn-Tucker Conditions
_g228 --
_g5.5
_tKuhn-Tucker Theorems
_g229 --
_g5.6
_tSaddlepoint Conditions
_g235 --
_g5.7
_tSecond-Order Optimality Conditions
_g238 --
_g5.8
_tGeneralized Lagrange Multiplier Method
_g245 --
_g5.9
_tGeneralization of Convex Functions
_g249 --
_g6
_tTransformation Methods
_g260 --
_g6.1
_tPenalty Concept
_g261 --
_g6.1.1
_tVarious Penalty Terms
_g262 --
_g6.1.2
_tChoice of Penalty Parameter R
_g277 --
_g6.2
_tAlgorithms, Codes, and Other Contributions
_g279 --
_g6.3
_tMethod of Multipliers
_g282 --
_g6.3.1
_tPenalty Function
_g283 --
_g6.3.2
_tMultiplier Update Rule
_g283 --
_g6.3.3
_tPenalty Function Topology
_g284 --
_g6.3.4
_tTermination of the Method
_g285 --
_g6.3.5
_tMOM Characteristics
_g286 --
_g6.3.6
_tChoice of R-Problem Scale
_g289 --
_g6.3.7
_tVariable Bounds
_g289 --
_g6.3.8
_tOther MOM-Type Codes
_g293 --
_g7
_tConstrained Direct Search
_g305 --
_g7.1
_tProblem Preparation
_g306 --
_g7.1.1
_tTreatment of Equality Constraints
_g306 --
_g7.1.2
_tGeneration of Feasible Starting Points
_g309 --
_g7.2
_tAdaptations of Unconstrained Search Methods
_g309 --
_g7.2.1
_tDifficulties in Accommodating Constraints
_g310 --
_g7.2.2
_tComplex Method
_g312 --
_g7.3
_tRandom-Search Methods
_g322 --
_g7.3.1
_tDirect Sampling Procedures
_g322 --
_g7.3.2
_tCombined Heuristic Procedures
_g326 --
_g8
_tLinearization Methods for Constrained Problems
_g336 --
_g8.1
_tDirect Use of Successive Linear Programs
_g337 --
_g8.1.1
_tLinearly Constrained Case
_g337 --
_g8.1.2
_tGeneral Nonlinear Programming Case
_g346 --
_g8.1.3
_tDiscussion and Applications
_g355 --
_g8.2
_tSeparable Programming
_g359 --
_g8.2.1
_tSingle-Variable Functions
_g359 --
_g8.2.2
_tMultivariable Separable Functions
_g362 --
_g8.2.3
_tLinear Programming Solutions of Separable Problems
_g364 --
_g8.2.4
_tDiscussion and Applications
_g368 --
_g9
_tDirection Generation Methods Based on Linearization
_g378 --
_g9.1
_tMethod of Feasible Directions
_g378 --
_g9.1.1
_tBasic Algorithm
_g380 --
_g9.1.2
_tActive Constraint Sets and Jamming
_g383 --
_g9.2
_tSimplex Extensions for Linearly Constrained Problems
_g388 --
_g9.2.1
_tConvex Simplex Method
_g389 --
_g9.2.2
_tReduced Gradient Method
_g399 --
_g9.2.3
_tConvergence Acceleration
_g403 --
_g9.3
_tGeneralized Reduced Gradient Method
_g406 --
_g9.3.1
_tImplicit Variable Elimination
_g406 --
_g9.3.2
_tBasic GRG Algorithm
_g410 --
_g9.3.3
_tExtensions of Basic Method
_g419 --
_g9.3.4
_tComputational Considerations
_g427 --
_g9.4
_tDesign Application
_g432 --
_g9.4.1
_tProblem Statement
_g433 --
_g9.4.2
_tGeneral Formulation
_g434 --
_g9.4.3
_tModel Reduction and Solution
_g437 --
_g10
_tQuadratic Approximation Methods for Constrained Problems
_g450 --
_g10.1
_tDirect Quadratic Approximation
_g451 --
_g10.2
_tQuadratic Approximation of the Lagrangian Function
_g456 --
_g10.3
_tVariable Metric Methods for Constrained Optimization
_g464 --
_g10.4.1
_tProblem Scaling
_g470 --
_g10.4.2
_tConstraint Inconsistency
_g470 --
_g10.4.3
_tModification of H[superscript (t)]
_g471 --
_g10.4.4
_tComparison of GRG with CVM
_g471 --
_g11
_tStructured Problems and Algorithms
_g481 --
_g11.1
_tInteger Programming
_g481 --
_g11.1.1
_tFormulation of Integer Programming Models
_g482 --
_g11.1.2
_tSolution of Integer Programming Problems
_g484 --
_g11.1.3
_tGuidelines on Problem Formulation and Solution
_g492 --
_g11.2
_tQuadratic Programming
_g494 --
_g11.2.1
_tApplications of Quadratic Programming
_g494 --
_g11.2.2
_tKuhn-Tucker Conditions
_g498 --
_g11.3
_tComplementary Pivot Problems
_g499 --
_g11.4
_tGoal Programming
_g507 --
_g12
_tComparison of Constrained Optimization Methods
_g530 --
_g12.1
_tSoftware Availability
_g530 --
_g12.2
_tA Comparison Philosophy
_g531 --
_g12.3
_tBrief History of Classical Comparative Experiments
_g533 --
_g12.3.1
_tPreliminary and Final Results
_g535 --
_g13
_tStrategies for Optimization Studies
_g542 --
_g13.1
_tModel Formulation
_g543 --
_g13.1.1
_tLevels of Modeling
_g544 --
_g13.1.2
_tTypes of Models
_g548 --
_g13.2
_tProblem Implementation
_g552 --
_g13.2.1
_tModel Assembly
_g553 --
_g13.2.2
_tPreparation for Solution
_g554 --
_g13.2.3
_tExecution Strategies
_g580 --
_g13.3
_tSolution Evaluation
_g588 --
_g13.3.1
_tSolution Validation
_g589 --
_g13.3.2
_tSensitivity Analysis
_g590 --
_g14
_tEngineering Case Studies
_g603 --
_g14.1
_tOptimal Location of Coal-Blending Plants by Mixed-Integer Programming
_g603 --
_g14.1.1
_tProblem Description
_g604 --
_g14.1.2
_tModel Formulation
_g604 --
_g14.1.3
_tResults
_g609 --
_g14.2
_tOptimization of an Ethylene Glycol-Ethylene Oxide Process
_g610 --
_g14.2.1
_tProblem Description
_g610 --
_g14.2.2
_tModel Formulation
_g612 --
_g14.2.3
_tProblem Preparation
_g618 --
_g14.2.4
_tDiscussion of Optimization Runs
_g618 --
_g14.3
_tOptimal Design of a Compressed Air Energy Storage System
_g621 --
_g14.3.1
_tProblem Description
_g621 --
_g14.3.2
_tModel Formulation
_g622 --
_g14.3.3
_tNumerical Results
_g627 --
_gAppendix A
_tReview of Linear Algebra
_g633 --
_gA.1
_tSet Theory
_g633 --
_gA.2
_tVectors
_g633 --
_gA.3
_tMatrices
_g634 --
_gA.3.1
_tMatrix Operations
_g635 --
_gA.3.2
_tDeterminant of a Square Matrix
_g637 --
_gA.3.3
_tInverse of a Matrix
_g637 --
_gA.3.4
_tCondition of a Matrix
_g639 --
_gA.3.5
_tSparse Matrix
_g639 --
_gA.4
_tQuadratic Forms
_g640 --
_gA.4.1
_tPrincipal Minor
_g641 --
_gA.4.2
_tCompleting the Square
_g642 --
_gA.5
_tConvex Sets
_g646 --
_gAppendix B
_tConvex and Concave Functions
_g648 --
_gAppendix C
_tGauss-Jordan Elimination Scheme
_g651.
650 0 _aEngineering
_xMathematical models.
650 0 _aMathematical optimization.
700 1 _aReklaitis, G. V.,
_d1942-
700 1 _aRagsdell, K. M.
856 4 2 _3Publisher description
_uhttp://catdir.loc.gov/catdir/enhancements/fy0653/2005044611-d.html
856 4 1 _3Table of contents only
_uhttp://catdir.loc.gov/catdir/enhancements/fy0653/2005044611-t.html
856 4 2 _3Contributor biographical information
_uhttp://catdir.loc.gov/catdir/enhancements/fy0826/2005044611-b.html
942 _cBOOK
994 _aZ0
_bSUPMU
596 _a1
999 _c3587
_d3587