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EN
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.
EN
This article has been devoted to the key dimensions of decision-making. The main goal of the authors was to point out the role and effect of invariants of nature, logic and conceptual systems of science and management, which are extremely important in decision-making processes. The research hypothesis has been tested that the complexity of decision-making and management are determined by the state of reality (Nature). This hypothesis is related to the fact that in science there is currently no uniform methodology associated with decision-making, just as science is not methodologically uniform. One can even doubt whether it is possible to describe the essential dimensions of decisions undertaken by Man, as discussed in this article. These problems are not a novelty to science, since they have been analysed by many scientists in the past. The authors of the article present the complexity and diversity of concepts defining systems of decision-making and management, based on selected fields of knowledge which are generally relevant to this issue, in particular fields associated with ontology and epistemology. Therefore, the text refers broadly to investigating the reality of basic areas of human knowledge and the overlapping relationships between them. This applies to the so-called circle of the sciences proposed and examined by the psychologist J. Piaget. An additional aim of the authors was to create a text presenting contemporary human knowledge about the reality which surrounds us. To understand reality means to be in relative equilibrium with it.
EN
Key problems in the field of decision-making have been considered. The authors’ aim was to indicate the extremely important for management role of logic and risk in relation to decisions taken under conditions of uncertainty. In the course of the research, the following hypothesis was tested: the complexity of risk is determined by the diversity of reality. The result of this is that in science there is no current study developing a uniform methodology for the assessment of risk. It might even be doubtful whether it can be created. In a certain sense, this is indicated in the article by the discussion about the dimensions of logic and risk apparent in any decisions taken by a man. The paper presents the complexity and diversity of risk assessment on the basis of selected, but essential to the discussed issue, fields of knowledge. This is valid when the numerical or qualitative level of risk is substantial in the context of the analyzed problem.
EN
A new approach to security issues associated with the use of teleinformatics systems in the decision-making process has been presented. There is a discussion of the relationship between the security of informatics systems and the security of the decision-making process in which they are used, in particular regarding the threats resulting from the use of informatics systems and modern teleinformatics technologies. In addition, an overview of the dangers that could have a significant impact on appropriate decision-making has been performed. The paper points out the possible ways to ensure security depending on the type of threats encountered. In particular, threats particularly linked with the security of informatics systems supporting decision-making have been identified.
EN
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.
EN
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.
EN
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.
EN
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.
9
Content available remote A quantitative method supporting the management of the teaching process
EN
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.
EN
The paper presents a mathematical model of the functioning of subsystem L in the general case, the locally stationary case, and the stationary case. The model serves as a basis for the identification of a barrier in the functioning of an inventory storage system, whose input is a non-aggregated dynamic-parameter process. The paper defines quantities that characterize the barrier in the functioning of the system and presents the possibility of forecasting those quantities which depend on the parameters of the process of product supply to storage and the parameters of the functioning of the transport subsystem. An example of a two-state product supply process is used as an illustration.
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.
EN
The goal of the investigation is the quantitative identification of a barrier in the functioning of a certain inventory system whose input is a non-aggregated process controlled by the parameters of the functioning of the transport subsystem and the parameters of the process of product supply to storage. The author derives equations that define relations between the distributions of conditional probabilities for the case of an upper-limit barrier in subsystem L and those parameters.
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.
EN
The subject matter of the investigation is an inventory system with the following subsystems: production, transport, storage, and receiver. Taking into account the dynamics of the parameters of an aggregated process of product supply to the storage subsystem, a system of differential equations is derived which is satisfied by the density functions of probability distributions. These functions will be used in the quantitative description of a bottleneck in the investigated system.
EN
The paper investigates a barrier in the functioning of certain inventory system. Assuming that the storage input is a non-aggregated dynamic-parameter process, the paper derives a system of differential equations satisfied by the probabilities of a lower-limit barrier in subsysyem L. The system of equations expresses relations between the distributions of the probability of the lower-limit barrier on the one hand and the parameters of the product supply process and the parameters of the functioning of the transport subsystem on the other hand.
PL
Obiektem badania jest bariera działania pewnego systemu gospodarki zapasami. Przyjmując, że wejście magazynu–zbiornika jest procesem niezagregowanym o dynamicznych parametrach, wyprowadzono układ równań różniczkowych, który spełniają prawdopodobieństwa bariery dolnej podsystemu L. Układ ten wyraża powiązania między rozkładami prawdopodobieństwa bariery dolnej a parametrami procesu podaży produktu oraz parametrami funkcjonowania podsystemu transportowego.
EN
With a view to increasing the efficiency of operations, we investigate a bottleneck in an inventory system composed of the following subsystems: production, transport, storage, and receiver. A system of differential equations is introduced for the probabilities of the low states of a process controlled by an aggregated inventory input. It will be used in the mathematical description of the bottleneck in the investigated system.
EN
With a view to increasing the efficiency of operations, we investigate a bottleneck in an inventory system composed of the following subsystems: production, transport, storage, and receiver. Analytical formulae for the conditional probabilities of the high states of a process controlled by an aggregated inventory input are derived in order to obtain a mathematical description of the bottleneck in the investigated system.
EN
The paper investigates a certain inventory system whose input is a non-aggregated dynamic-parameter process. The authors derive equations that define the distribution of conditional probabilities for the case of a lower-limit barier in subsystem L. They depend on the parameters of the functioning of transport subsystem and the parameters of the process of product supply to finite-volume storage
PL
Badana jest bariera działania pewnego systemu gospodarki zapasami, którego wejście jest procesem niezagregowanym o dynamicznych parametrach. Wyprowadzono wzory wyrażające warunkowe rozkłady prawdopodobieństwa w przypadku bariery dolnej podsystemu L. Zależą one od parametrów funkcjonowania podsystemu transportowego oraz parametrów procesu podaży produktu do magazynu o skończonej objętości.
EN
In the article two original mathematical methods of constructing a model of non-observable variables describing processes subject to examination are presented. One of these methods takes first of all into consideration in an explicit way the character of influence of particular diagnostic variables on the discussed non-observable variable, and this feature does not characterize the second method. A linear transformation of variables being modeled by means of the presented methods leads to statistically consistent investigation results. A real example of use of these methods is presented and the obtained results have been compared.
EN
The author investigates an inventory system with the following subsystems: production, transport, storage, and receiver. In order to obtain a mathematical description of the bottleneck in that system, formulae are derived for the conditional probabilities of the low states of the system controlled by an aggregated product supply process with dynamic parameters.
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