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Consider a 2-dimensional Bin Packing Problem, which aims to pack a given set of objects into bins so as to minimize the number of used

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Consider a 2-dimensional Bin Packing Problem, which aims to pack a given set of objects into bins so as to minimize the number of used bins. Each object i has height h . i=1.....N, and the height capacity of a single bin is H. Also, each object i has width wi-....N, and the width capacity of a single bin is W. Suppose you want to solve this problem by using an Ant Colony Optimization (ACO) algorithm. a. Design a solution construction graph. Explain what the nodes and the links represent in your graph. Describe how each ant would move on this graph. b. Propose a pheromone structure suitable for the problem. That is, introduce your pheromone vector and describe how it will be updated throughout the algorithm. c. Propose a problem specific greedy heuristic to guide the ants toward good solutions. Explain how this heuristic can be integrated into the pheromone structure you suggest in part b

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