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arXiv · 1812.00059

Binary Decision Diagrams for Bin Packing with Minimum Color Fragmentation

David Bergman·Carlos Cardonha·Saharnaz Mehrani
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Abstract

Bin Packing with Minimum Color Fragmentation (BPMCF) is an extension of the Bin Packing Problem in which each item has a size and a color and the goal is to minimize the sum of the number of bins containing items of each color. In this work, we introduce BPMCF and present a decomposition strategy to solve the problem, where the assignment of items to bins is formulated as a binary decision diagram and an optimal integrated solutions is identified through a mixed-integer linear programming model. Our computational experiments show that the proposed approach greatly outperforms a direct formulation of BPMCF and that its performance is suitable for large instances of the problem.

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David Bergman, Carlos Cardonha, Saharnaz Mehrani. 2018-11-30. Binary Decision Diagrams for Bin Packing with Minimum Color Fragmentation. https://arxiv.org/abs/1812.00059

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