Operations Research · 1984 · 104 citations · 10 references
Mathematical ProgrammingProduction PlanningNonsequential CaseEngineeringStochastic OptimizationUncertainty QuantificationStochastic SystemProduction SchedulingManufacturing PlanningSystems EngineeringBusinessSetup CostsProbability TheoryDeterministic ApproximationsCombinatorial OptimizationApproximation TheoryQuantitative ManagementOperations Research
In this paper we consider deterministic approximations to a nonsequential stochastic production problem with setup costs. We show that, for the most commonly used probability distributions of the demands, the relative error bounds tend to be very small. We also consider a sequential stochastic problem, without setup costs, and discuss its relationship to the nonsequential case. Throughout the paper, we present limited computational results and indicate topics for further research.
10
Nonlinear and Dynamic Programming
Wilfred Candler, G. Hadley · Econometrica · 1966 · 743 citations
Mathematical Programming, Engineering, Nonlinear Programming +3
Programming of Economic Lot Sizes
Alan S. Manne · Management Science · 1958 · 393 citations
Mathematical Programming, Economic Lot Sizes, Engineering +23