Management Science · 1976 · 22 citations · 5 references
Natural SciencesMathematicsOperations ManagementAuction TheoryOperations PlanningOptimizationCombinatorial OptimizationDiscrete OptimizationInteger ProgrammingLinear ProgrammingOptimization In EconomicsOptimization TheoryAuction AlgorithmsCompetitive Bidding BehaviorEnumerative AlgorithmsInteger Linear ProgrammingLarge-scale Integer ProgrammingMixed-integer Linear ProgrammingMixed-integer ProgrammingProcurement Optimization
Defense Department requirements for aviation fuels are met with purchases made in the usual competitive bidding environment. This large-scale contract bidding and selection problem is modeled as a mixed integer linear program with a special structure. The solution of this large optimization problem is approached via an algorithm employing decomposition and implicit enumeration techniques which exploit the special structure of the underlying formulation. Computational results and other considerations are discussed.
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Integer Programming by Implicit Enumeration and Balas’ Method
Arthur M. Geoffrion · SIAM Review · 1967 · 222 citations
Linear programming in bid evaluation
Edward Stanley, D. P. Honig, Leon Gainen · Naval Research Logistics Quarterly · 1954 · 46 citations