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Service level in model of inventory location with stochastic demand

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Języki publikacji
EN
Abstrakty
EN
In this paper we consider the influence of the safety factor on the decision of the inventory location. This decision is done based on the model which centralizes or decentralizes the safety stock. In this model we have to choose between the location of the inventory in the regional warehouses or the location in the central warehouse. The decision is made due to the minimizing the holding costs and the supply costs of the safety stock from the central warehouse to the customer. The main assumption is that the customers have the stochastic demands on the inventory items. Moreover, the customers’ demands have the known distribution with the known parameters. The complex analysis of the influences of possible probabilistic demands' distributions on the safety factors is conducted. The numerical computations for the safety factors used in the facility location model are also presented. In numerical examples we take into considerations the demands’ distributions the most often used in practice like the normal, the Poisson, the Gamma and the exponential distribution. Some graphs for the safety factors of these distributions are also drawn. Moreover for the mentioned demands’ distributions the model of the safety stock location depends on the specific factors. Among other things these factors are the mean and the variance of the demand, the number of the regional warehouses, the assumed service level, and some cost factors like the holding costs and the transportation costs. Some graphs which illustrated the dependence of the model elements on some listed before parameters are presented and their influence on the location decision is studied also.
Rocznik
Strony
7--21
Opis fizyczny
Bibliogr. 13 poz., rys., wykr.
Twórcy
autor
  • Maria Curie-Sklodowska University, Statistics and Econometrics Department, Lublin, Poland
Bibliografia
  • [1] Albareda-Samboa M., Fernandez E., Saldanha-da-Gama F., The facility location problem with Bernoulli demands, Omega 39, 335-345, 2011.
  • [2] Axsäter S., Inventory control, 2nd edition, International Series in Operations Research and Management Science, Springer, 2006.
  • [3] Baron O., Milner H., Naseradin H., Facility location: A robust optimization approach, Production and Operational Management 20, 5, 772-785, 2011.
  • [4] Bieniek M., Stochastic demand in inventory location, Logistyka 4, 1665-1672, 2014.
  • [5] Burgin T.A., The gamma distribution and inventory control, Dunlop Limited, Fort Dunlop, Birmingham, England, Operational Research Quartely 26, 507-525, 1975.
  • [6] Burgin T.A., Wild A.R., Stock control-experience and usable theory, Operational Research Quartely 18, 73-80, 1967.
  • [7] Gülpınar N., Pachamanova D., Ҫanakoüğlu E., Robust strategies for facility location under uncertainty. European Journal of Operational Research 225, 21-35, 2013.
  • [8] Krzyżaniak S., Podstawy zarządzania zapasami w przykładach. ILiM Poznań, 2002.
  • [9] Krzyżaniak S., Location of stock in distribution net, Logfoum 2, 1, 2, 1-10, 2006.
  • [10] Louveaux F. V., Peeters D. , A dual-based procedure for stochastic facility location. Operations Research 40, 3, 564-573, 1992.
  • [11] Mokrzycka E., Magazynowanie i obsługa zapasów w Kompendium wiedzy o logistyce, PWN Warszawa, Poznań 1999.
  • [12] Ross S., A first course on probability. Prentice Hall, New York, 2010.
  • [13] Snyder L.V., Facility location under uncertainty: a review, IIE Transactions, Taylor and Francis, 2006.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-7810c8dd-d16f-44ea-af3b-9569dc0bfb3a
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