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多值决策图在排序问题中的应用

Multivalued Decision Diagrams for Sequencing Problems

Operations Research · 2013
被引 77
人大 AFT50UTD24ABS 4*

中文导读

提出用多值决策图(MDD)表示和求解排序问题,通过有限大小的MDD作为离散松弛,可加速现有约束调度系统求解器数个数量级。

Abstract

Sequencing problems are among the most prominent problems studied in operations research, with primary application in, e.g., scheduling and routing. We propose a novel approach to solving generic sequencing problems using multivalued decision diagrams (MDDs). Because an MDD representation may grow exponentially large, we apply MDDs of limited size as a discrete relaxation to the problem. We show that MDDs can be used to represent a wide range of sequencing problems with various side constraints and objective functions, and we demonstrate how MDDs can be added to existing constraint-based scheduling systems. Our computational results indicate that the additional inference obtained by our MDDs can speed up a state-of-the art solver by several orders of magnitude, for a range of different problem classes.

运筹学调度排序问题约束求解