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Hybrid Combinatorial Optimization: Sample Problems and Algorithms

By Vaibhav Srivastava and Francesco Bullo


Abstract — We study a class of non-convex optimization problems involving sigmoid functions. We show that sigmoid functions impart a combinatorial element to the optimization variables and make them hybrid of continuous and discrete variables. We formulate versions of the knapsack problem and the bin-packing problem with such hybrid variables. We utilize the approximation algorithms from the combinatorial optimization literature and develop approximation algorithms for these NP-hard hybrid optimization problems. I

Year: 2013
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