This study addresses a user-equilibrium congested facility location problem with delay-, accessibility-, and price-sensitive customers. A profit-maximizing service provider first makes location, service rate, and pricing decisions, and then strategic customers decide which facilities to patronize (if any). By incorporating the customers’ choice behavior as a set of equilibrium constraints into the service provider’s decision problem, the problem is modeled as a mixed integer non-linear program which is then reformulated as a mixed integer second-order cone program. The proposed model, tested on several standard instances, is shown to be efficiently solvable using commercial software packages.

中文翻译：

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战略客户的设施选址拥挤问题


本研究解决了对延迟、可达性和价格敏感的客户的用户均衡拥挤设施选址问题。利润最大化的服务提供商首先做出位置、服务费率和定价决策，然后战略客户决定光顾哪些设施（如果有）。通过将客户的选择行为作为一组均衡约束纳入服务提供商的决策问题中，该问题被建模为混合整数非线性程序，然后将其重新表述为混合整数二阶锥程序。所提出的模型在几个标准实例上进行了测试，结果表明可以使用商业软件包有效地求解。