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Non-extreme variant of support management model of a production-supply system with the structural process of product supply

Galanc Tadeusz, Kołwzan Wiktor, Pieronek Jerzy

Operations Research and Decisions

2019

Vol. 29, No. 2

43--53

The paper is dedicated to building a probabilistic analysis method of functioning a productionsupply system with the structural process of product supply. This analysis is carried out in the nonextreme variant of warehouse filling level to which two independent streams of production (of the product) are directed by means of a transport subsystem. For this variant, four sets of equations that fulfilled the density function determining state probabilities of a multidimensional process characterizing operations of the system examination were derived.

Probabilistic characteristics supporting the management of a production-supply system

Galanc T., Kołwzan W., Pieronek J.

Operations Research and Decisions

2017

Vol. 27, No. 3

51--63

The construction of a model and quantitative measures have been presented aimed at improving the efficiency of a production-supply system described by a three-dimensional stochastic process. For this purpose, the laws governing the functioning of the system have been described, corresponding to the three different states of the stock level in the subsystem M. These laws generate the quantitative model of the examined system, which enables the construction of the proposed quantitative measures supporting the managing process of such a system.

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

Galanc T., Kołwzan W., Pieronek J.

Operations Research and Decisions

2012

Vol. 22, No. 2

5--13

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.