Extensions to Competitive Facility Location with Multi-purpose Trips

Malgorzata Miklas-Kalczynska
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Abstract

Existing location models considering multi-purpose shopping behavior limit the number of stops a customer makes to two. We introduce the multi-purpose (MP) competitive facility location model with more than two stops. We locate one or more facilities in a competitive environment, assuming a shopper may stop multiple times during one trip to purchase different complementary goods or services. We show that when some or all trips are multi-purpose, our model captures at least as much market share as the MP models with fewer purposes. Our extensive simulation experiments show that the MP models work best when multiple new facilities are added. As the number of facilities increases, however, the returns diminish due to cannibalization. Also, with significant increases in complexity for each additional stop added, expanding the model beyond three purposes may not be practical.

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扩建竞技设施位置,提供多用途行程
现有的考虑多用途购物行为的选址模型将顾客的购物停留次数限制为两次。我们引入了多用途(MP)竞争性设施选址模型,该模型包含两个以上的站点。假设购物者在一次旅行中可能会多次停留购买不同的互补商品或服务,我们将在竞争环境中定位一个或多个设施。我们的研究表明,当部分或全部行程都具有多种目的时,我们的模型所捕获的市场份额至少与目的较少的 MP 模型相当。我们的大量模拟实验表明,当增加多个新设施时,MP 模型效果最佳。然而,随着设施数量的增加,由于 "蚕食 "效应,收益会逐渐减少。此外,每增加一个站点,复杂性就会大大增加,因此将模型扩展到三个目的之外可能并不现实。
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