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5 Operations Research and Decisions

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

100%

GALANC T. , KOŁWZAN W. , PIERONEK J.

Operations Research and Decisions

2014

tom 24

nr 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.

A quantitative management support model for a certain production supply system in non-extreme states

100%

GALANC T. , KOŁWZAN W. , PIERONEK J.

nr 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.

Theoretical and methodological bases of threats. The method of security management support

100%

GALANC T. , KOŁWZAN W. , PIERONEK J.

nr 3

5-21

A new approach to threat analysis and management of security understood has been presented. Threats have been analyzed in a wide theoretical-methodological range with particular emphasis on the need for the system-wide analysis of threats in terms of social (sociological), psychological (psychology of the crowd) and religious aspects. A method supporting security management has been proposed, using two-person zero-sum games to model situations of conflict. The matrix, infinite, logical and topological forms of such games are considered.

A quantitative method supporting the management of the teaching process

100%

GALANC T. , KOŁWZAN W. , PIERONEK J.

tom 21

nr 1

33-51

A new method has been presented for testing the effectiveness of the teaching process based on a matrix questionnaire survey. This approach allows us to apply to the questionnaire data various quantitative and statistical methods such as: the classification and grouping of objects, factor analysis, as well as the game theory. This method of testing recognizes teaching as a continuous process, i.e. models it to the extent that it occurs in reality.

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

100%

GALANC T. , KOŁWZAN W. , PIERONEK J.

Operations Research and Decisions

2012

tom 22

nr 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.