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A quantitative management support model of a certain production-supply system - boundary conditions

Author

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  • Tadeusz Galanc
  • Wiktor Kołwzan
  • Jerzy Pieronek

Abstract

The paper is dedicated to constructing a method for the probabilistic analysis of the functioning a certain production-supply system. Previously a set of partial differential equations has been derived satisfied by the joint density function of the state of a three-dimensional process characterizing the functioning of the system. The operation of the system at the boundaries of the stock levels is analyzed. Two sets of differential equations have been derived, one describing the operation of the system when the stock level is zero and one describing the operation of the system when the stocks are full.

Suggested Citation

  • Tadeusz Galanc & Wiktor Kołwzan & Jerzy Pieronek, 2012. "A quantitative management support model of a certain production-supply system - boundary conditions," Operations Research and Decisions, Wroclaw University of Science and Technology, Faculty of Management, vol. 22(2), pages 5-13.
  • Handle: RePEc:wut:journl:v:2:y:2012:p:5-13:id:1047
    DOI: 10.5277/ord120201
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    References listed on IDEAS

    as
    1. Nils Rudi & Sandeep Kapur & David F. Pyke, 2001. "A Two-Location Inventory Model with Transshipment and Local Decision Making," Management Science, INFORMS, vol. 47(12), pages 1668-1680, December.
    2. Yunzeng Wang & Morris A. Cohen & Yu-Sheng Zheng, 2000. "A Two-Echelon Repairable Inventory System with Stocking-Center-Dependent Depot Replenishment Lead Times," Management Science, INFORMS, vol. 46(11), pages 1441-1453, November.
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    Cited by:

    1. Narayan Singh & Bindu Vaish & Shiv Ray Singh, 2014. "A collaborative strategy for a three echelon supply chain with ramp type demand, deterioration and inflation," Operations Research and Decisions, Wroclaw University of Science and Technology, Faculty of Management, vol. 24(3), pages 77-100.
    2. Tadeusz Galanc & Wiktor Kołwzan & Jerzy Pieronek, 2017. "Probabilistic characteristics supporting the management of a production-supply system," Operations Research and Decisions, Wroclaw University of Science and Technology, Faculty of Management, vol. 27(3), pages 51-63.
    3. Tadeusz Galanc & Wiktor Kołwzan & Jerzy Pieronek, 2019. "Non-extreme variant of support management model of a production-supply system with the structural process of product supply," Operations Research and Decisions, Wroclaw University of Science and Technology, Faculty of Management, vol. 29(2), pages 43-53.

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