A competitive facility location problem with market expansion and a customer-satisfaction term is submodular under concave expansion, and a new inner-approximation method approximates it by MILPs with bounded error.
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Competitive Facility Location with Market Expansion and Customer-centric Objective
A competitive facility location problem with market expansion and a customer-satisfaction term is submodular under concave expansion, and a new inner-approximation method approximates it by MILPs with bounded error.