Search results for "sequence pair"

showing 2 items of 2 documents

Scheduling under the network of temporo-spatial proximity relationships

2017

We discuss and introduce to the schedulingeld a novel, qualitative optimization model - scheduling under the network of temporo-spatial proximity relationships.We introduce a half perimeter proximity measure as an objective of scheduling.We present and evaluate an incremental Sequence Pair neighborhood evaluation algorithm, applicable to both scheduling and rectangle packing problems in VLSI industry. In this paper, we discuss and introduce to the scheduling field a novel optimization objective - half perimeter proximity measure in scheduling under the network of temporo-spatial proximity relationships. The presented approach enables to qualitatively express various reasons of scheduling ce…

proximity relationshipsMathematical optimizationGeneral Computer Sciencerectangle packing problemEvaluation algorithm0102 computer and information sciences02 engineering and technologyIntegrated circuitManagement Science and Operations Research01 natural scienceslaw.inventionScheduling (computing)lawApproximation error0202 electrical engineering electronic engineering information engineeringschedulingComputer Science::Operating SystemsMathematicsVery-large-scale integrationProximity measureneighborhood evaluation010201 computation theory & mathematicsModeling and Simulation020201 artificial intelligence & image processingsequence pairRectangle packingComputers & Operations Research
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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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