Relations between probabilities of high states describing the bottleneck of a certain inventory system and the dynamic parameters of an aggregated input

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

Abstrakty

EN

The authors investigate a bottleneck in an inventory system composed of the following subsystems: production, transport, storage, and receiver. In order to obtain a mathematical description of the bottleneck in the system, the authors derive a system of differential equations which is satisfied by the probabilities of the high states of a process controlled by an aggregated product supply process.

Słowa kluczowe

EN

inventory management systems; probabilities; differential equations; storage; inventory control; bottleneck

PL

systemy zarządzania zapasami; prawdopodobieństwo; równania różniczkowe; magazynowanie; kontrola zapasów; wąskie gardło

• Wydawca: Oficyna Wydawnicza Politechniki Wrocławskiej
• Czasopismo: Systems : journal of transdisciplinary systems science
• Rocznik: 2007
• Tom: Vol. 12, nr 3
• Strony: 3--7
• Opis fizyczny: Bibliogr. 6 poz.

Twórcy

autor

Mercik J.

autor

Galanc T.

• Institute of Industrial Engineering and Management, Wroclaw University of Technology, 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] GICHMANN, I. I. and SKOROCHOD, A.W., Wstęp do teorii procesów stochastycznych, Warsaw, PWN, 1968.