The paper aims to present a theoretical study of inventory allocation in two retailer warehouses that form a spatial duopoly on the finite horizon, where the shortage of goods, and not only prices, determines their market areas, depending on the customer's travel decisions to minimise not only the cost of purchasing the items but also the travel expenses under uncertainties of availability of the products. The customers' decision on which store to visit first is influenced by their estimation of regarding shortages of goods. The demand size required by arrived customers can be one or more units of goods. Delays in the required amount and all flows in the production–inventory–logistic system have varying parameters, simulated by the Network Simulation Method (NSM). The impact of delay in supply chain, which provides the products and consequently creates the shortages on market areas, is studied at varying interest rates and the shortened, unknown length of the time horizon. The annuity stream approach of evaluation of ordering policies is applied in areas of spatial duopoly where the optimal ordering policy depends on the interaction between the prices and the shortages of goods in the studied duopolies. Customer travelling problem (CTP) is defined, which determines the market area for allocated inventories. In our study, various distributions of customers' quantity demand at varying shortages and delays of the provision are supposed, presenting their impact on the market area. NSM helps in describing how to study the impact of varying interest rates and stochastic length of the time horizon in the case of shortages of goods as a consequence of delays in supply system activities and how to improve the estimates of NPV and profit in the case of low and varying interest rates.

本文旨在提供理论研究，研究在有限范围内形成空间双头垄断的两个零售商仓库中的库存情况，在那里，货物短缺不仅取决于价格，而且取决于客户的出行决策，商品短缺不仅决定价格，而且不减少价格。不仅是购买商品的成本，还包括在产品可用性不确定的情况下的差旅费用。客户对首先到哪家商店进货的决定受到他们对商品短缺的估计的影响。到达的客户所需的需求大小可以是一个或多个商品单位。所需数量的延迟以及生产－库存－物流系统中的所有流具有变化的参数，这些参数通过网络模拟方法（NSM）进行模拟。供应链延迟的影响，提供各种产品并因此导致市场区域短缺的问题，需要在不同的利率和较短的，未知的时间范围内进行研究。排序政策评估的年金流方法被应用在空间双寡头垄断领域，在该领域中最佳的订购政策取决于所研究的双寡头中价格与商品短缺之间的相互作用。定义了客户旅行问题（CTP），它确定了分配库存的市场区域。在我们的研究中，假设了在数量短缺和供应延迟的情况下客户数量需求的各种分布，从而显示了它们对市场区域的影响。