IEEE Transactions on Systems Man and Cybernetics · 1995 · 41 citations · 11 references
ComputingComputer ScienceElectrical EngineeringAlgorithmsOptimizationSchedulingDesign For TestabilityResource-constrained SchedulingSchedule OptimizationScheduling OptimizationScheduling TheoryTask SchedulingHeuristic SchedulingLagrangian FormulationLagrangian RelaxationManufacturingPhysical Resource ConstraintsPreemptive Scheduling ModelScheduling ProblemsTest Scheduling
This paper presents a Lagrangian relaxation approach for the scheduling problem of an IC sort and test facility. In an integrated circuit (IC) manufacturing environment, a combination of tester, prober, and some hardware facilities is needed for wafer sort while a combination of tester, handler, and some other hardware facilities is needed for final test. To schedule both sorting and testing at the same time, the resource constraints on testers, probers, handlers and hardware have to be dealt with. This paper also extends the Lagrangian relaxation technique to solve a class of preemptive scheduling problems which particularly exist in an IC test floor environment. Numerical examples are given to illustrate the potential of the authors' approach. Comparisons of the authors' results with those obtained by some heuristic rules are also given.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">></ETX>
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Validation of subgradient optimization
Michael Held, Philip Wolfe, Harlan Crowder · Mathematical Programming · 1974 · 1.4K citations