title: Exact penalty functions in the problem of choosing the optimal wholesale order in the face of rapid fluctuations in demand
metadata.name: dc.contributor.author
metadata.value: Bure, Vladimir M.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Karelin, Vladimir V.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Polyakova, Ludmila N.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2022-01-18T11:34:31Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2022-01-18T11:34:31Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2021-12
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Bure V. M., Karelin V. V., Polyakova L. N. Exact penalty functions in the problem of choosing the optimal wholesale order in the face of rapid fluctuations in demand. Vestnik of Saint Petersburg University. Applied Mathematics. Computer Science. Control Processes, 2021, vol. 17, iss. 4, pp. 397-408.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/11701/spbu10.2021.408
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/34165
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: The current article discusses a different situation in the market, when there is a rush demand
  for a new product followed by a sharp drop in demand. The trading company uses the
  following scheme for the wholesale order of goods. The ordered product is divided into two
  parts, and the first batch of goods arrives immediately, it is sold over a certain period of time
  (0, Z,]. The second batch of goods is delivered at the time 7’, but at the time interval [0, 7].
  This batch is sold at a discount and is completely sold out. Time T' corresponds to the end
  of the sale of the entire product. The time points 7), T' are selected by the trading firm from
  the condition of maximizing income. The need to consider such a wholesale order scheme
  is related to the fact that, firstly, the warehouses of the trading firms have limited capacity
  and cannot accommodate all the ordered goods, and secondly, a manufacturer may not offer
  the entire ordered batch of goods, since not all goods can be produced at the initial (zero)
  point of time immediately after receiving the order. At the time 71, the trading company
  completely sells the first batch of goods and receives financial resources, part of which is paid to the manufacturer. At the moment of time Т', Ме сотр/ефе sale of all purchased goods is
  completed. The choice of time points 7; and T' allow to determine the volume of the first
  batch of ordered goods and the total volume of product ordered from the manufacturer. In
  the article, a mathematical model is proposed that makes it possible to choose the optimal
  ordering strategy for a trading company in the conditions of excessive growth of demand
  for the new product in time 71,72 at some unknown point in time and т. Е [73,74], and the
  subsequent sharp drop in demand in the period of time [73, 74] due to the saturation of the
  market with a new product. Four possible variants of optimization problems are considered.
  A method of exact penalty function is suggested, which allows one to find their solutions.
metadata.lang: en_GB
metadata.name: dc.description.sponsorship
metadata.value: This work was supported by the Russian Foundation for Basic Research (project N 20-07-0108).
metadata.lang: en_GB
metadata.name: dc.language.iso
metadata.value: ru
metadata.lang: en_GB
metadata.name: dc.publisher
metadata.value: St Petersburg State University
metadata.lang: en_GB
metadata.name: dc.relation.ispartofseries
metadata.value: Vestnik of St Petersburg University. Applied Mathematics. Computer Science. Control Processes;Volume 17; Issue 4
metadata.lang: -
metadata.name: dc.subject
metadata.value: inventory level
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: random demand
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: rush demand
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: shortage of goods
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: discount
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: maximin
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: method of exact penalty functions
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Exact penalty functions in the problem of choosing the optimal wholesale order in the face of rapid fluctuations in demand
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 390-408.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/34165/1/390-408.pdf
resources.format: Adobe PDF
resources.size: 415,01 kB