A mathematical description of a bottleneck in a certain inventory system in the case of an aggregated dynamic-parameter input

• Autorzy: Mercik J. , Galanc T.
• Języki publikacji: EN

Abstrakty

EN

The paper presents quantitative characteristics of a bottleneck in an inventory system composed of the following subsystems: production, transport, storage, and receiver. The characteristics are derived by solving an appropriate system of differential equations. The author points out certain possibilities of improving the efficiency of the functioning of the investigated system. Methodological considerations are illustrated with an example of a two-state product-supply process.

Słowa kluczowe

EN

bottleneck; probability; differential equations

PL

wąskie gardło; prawdopodobieństwo; równania różniczkowe

• Wydawca: Oficyna Wydawnicza Politechniki Wrocławskiej
• Czasopismo: Systems : journal of transdisciplinary systems science
• Rocznik: 2008
• Tom: Vol. 13, nr 1-2
• Strony: 12--20
• Opis fizyczny: Bibliogr. 7 poz.

Twórcy

autor

Mercik J.

autor

Galanc T.

• Institute of Industrial Engineering and Management, Technical University of Wroclaw, ul. Smoluchowskiego 25, 50-370 Wroclaw

Bibliografia

• [1] GALANC, T., Conditional Probabilities of Non-Extreme States Describing the Bottleneck of a Certain Inventory System with an Aggregated Dynamic-Parameter Input, Modelling Measurement and Control, AMSE, France, Vol. 17, No. 1, 2,1998.
• [2] MERCIK, J., GALANC T., Relations Between Densities Describing the Bottleneck of a Certain Inventory System and the Dynamic Parameters of an Aggregated Input, Systems, Vol. 11, No. 2, 2006.
• [3] GALANC, T., Conditional Probabilities of Low States Describing the Bottleneck of a Certain Inventory System with an Aggregated Dynamic-Parameter Input, Systems, Vol. 9, No. 1-2, 2004.
• [4] GALANC, T., Relations Between Probabilities of Low States Describing the Bottleneck of a Certain Inventory System and the Dynamic Parameters of an Aggregated Input, Systems, Vol. 10, No. 2, 2005.
• [5] GALANC, T., Conditional Probabilities of High States Describing the Bottleneck of a Certain Inventory System with an Aggregated Dynamic-Parameter Input, Systems, Vol. 10, No. 2, 2005.
• [6] MERCIK, J., GALANC, T., Relations Between Probabilities of High States Describing the Bottleneck of a Certain Inventory System and the Dynamic Parameters of an Aggregated Input, Systems, Vol. 12, No. 3, 2007.
• [7] GICHMANN, I.I. and SKOROCHOD, A.W., Wstęp do teorii procesów stochastycznych, PWN, Warsaw, 1968.