Search results for "Job scheduling problem"

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Handling precedence constraints in scheduling problems by the sequence pair representation

2015

In this paper, we show that sequence pair (SP) representation, primarily applied to the rectangle packing problems appearing in the VLSI industry, can be a solution representation of precedence constrained scheduling. We present three interpretations of sequence pair, which differ in complexity of schedule evaluation and size of a corresponding solution space. For each interpretation we construct an incremental precedence constrained SP neighborhood evaluation algorithm, computing feasibility of each solution in the insert neighborhood in an amortized constant time per examined solution, and prove the connectivity property of the considered neighborhoods. To compare proposed interpretations…

Mathematical optimizationPrecedence diagram methodControl and Optimizationrectangle packing problemMultiprocessing0102 computer and information sciences02 engineering and technology01 natural sciencesScheduling (computing)0202 electrical engineering electronic engineering information engineeringDiscrete Mathematics and CombinatoricsschedulingComputer Science::Operating SystemsMathematicsVery-large-scale integrationAmortized analysisApplied MathematicsJob scheduling problemComputer Science ApplicationsComputational Theory and Mathematics010201 computation theory & mathematicsMetaheuristic algorithmsTheory of computation020201 artificial intelligence & image processingAlgorithmprecedence constraintssequence pairJournal of Combinatorial Optimization
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