内容

目次

PrefaceCh. 1The Linear Programming ConceptCh. 2Origins and InfluencesCh.3Formulating a Linear Programming ModelCh. 4Linear Equation and InequalitySystemsCh. 5The Simplex MethodCh. 6Proof of the Simplex Algorithm and theDuality TheoremCh. 7The Geometry of Linear ProgramsCh. 8Pivoting, VectorSpaces, Matrices, and InversesCh. 9The Simplex Method Using MultipliersCh.10Finiteness of the Simplex Method Under PerturbationCh. 11Variants of theSimplex AlgorithmCh. 12The Price Concept in Linear ProgrammingCh. 13Games andLinear ProgramsCh. 14The Classical Transportation ProblemCh. 15OptimalAssignment and Other Distribution ProblemsCh. 16The Transshipment ProblemCh.17Networks and the Transshipment ProblemCh. 18Variables with Upper BoundsCh.19Maximal Flows in NetworksCh. 20The Primal-Dual Method for TransportationProblemsCh. 21The Weighted Distribution ProblemCh. 22Programs with VariableCoefficientsCh. 23A Decomposition Principle for Linear ProgramsCh. 24ConvexProgrammingCh. 25UncertaintyCh. 26Discrete Variable Extremum ProblemsCh.27Stigler's Nutrition Model: An Example of Formulation and SolutionCh. 28TheAllocation of Aircraft to Routes Under Uncertain DemandBibliographyIndex