About One Approach to the Planning in Retail with the Stochastic Parameters

A. Novikov
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Abstract

Retail is one of the largest industries for financial investments in Russia. There are various mathematical descriptions for the development of retail projects. Earlier in [1] the researchers considered the resource region development model and a corresponding linear stochastic programming problem, where the budget constraints are assumed to vary in a random manner at specified interval; and the methods of its solving. In this paper, we propose new models for planning retail investment projects related to carrying out promo efficiency in the retail chain. As well as in [1], these models are based on linear stochastic programming problems, where the dimension of the problems increases essentially, and the stochastic parameters appear in market behaviour. To solve this problem, we put forward the method based on its reduction to the deterministic one. For the numerical check of the algorithms we use the data on transactions of the LLC NSK Holdi.
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一种具有随机参数的零售业规划方法
零售业是俄罗斯最大的金融投资行业之一。零售项目的发展有各种各样的数学描述。在文献[1]中,研究人员考虑了资源区域开发模型和相应的线性随机规划问题,其中假定预算约束在指定区间内随机变化;以及它的求解方法。在本文中,我们提出了新的零售投资项目规划模型,以实现零售链的促销效率。与文献[1]一样,这些模型都是基于线性随机规划问题,其中问题的维度基本上是增加的,并且随机参数出现在市场行为中。为了解决这一问题,我们提出了将其约简为确定性的方法。为了对算法进行数值检验,我们使用了NSK控股有限责任公司的交易数据。
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