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3 Operations Research and Decisions

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The role of normal logical form in decision - making and knowledge management

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Galanc T. , Kołwzan W. , Pieronek J.

tom Vol. 24, No. 2

35--58

The normal form in logic has been considered. Any propositional function, i.e. any finite logical expression can be written in such a form. This indicates the possibility of an unequivocal logical representation of many different objects investigated in science and everyday life. The properties of the normal form give a new dimension to the management of processes examined in science. Understanding of the laws of logic and its calculus allows us to obtain this form in a finite number of logical transformations. In addition, this form indicates the cognitive essence and pragmatic dimension of logic. The paper considers axiomatization, and then optimization. Both of these formulations of logic reflect its essence. Shannon’s theorem gives us only a modest signpost that reality has a complex nature, which is confirmed by the richness of logic in the form of its equivalent propositional functions. Knowledge about the behavior of these structures is ambiguous in terms of the complexity of the corresponding logical expressions, that is, two different or identical logical functions may be related to identical (similar) or quite different behaviors in relation to the processes or objects represented by these functions.

Probabilistic characteristics supporting the management of a production-supply system

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Galanc T. , Kołwzan W. , Pieronek J.

tom 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 for a certain production supply system in non-extreme states

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Galanc T. , Kołwzan W. , Pieronek J.

tom Vol. 22, No. 1

5--12

The paper is devoted to building a probabilistic method of analyzing the operation of a certain production supply system. The analysis is carried out for non-extreme states of the level in store, into which two separate streams of production (the product) are directed. A system of partial differential equations describing this case was derived which is satisfied by the joint density function defining the probabilities of states of the three-dimensional process characterizing the system’s functioning.