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EN
Uncertain variables are often used for solving realistic problems. To find the solution of a realistic problem the model with uncertain variable has to be built. Based on the model with uncertain variables operations on intervals are necessary. The article presents the multidimensional RDM interval arithmetic and its application to solving an economic problem. Obtained solutions are compared with results from the one dimensional Moore interval arithmetic and global optimization.
PL
Praca dotyczy problemu rozdziału zasobu pomiędzy realizowane szeregowo operacje produkcyjne. Czasy wykonania operacji opisane są zależnościami relacyjnymi z nieznanymi parametrami, o których zakłada się, że są wartościami zmiennych niepewnych charakteryzowanymi przez eksperta. W pracy przedstawiono trzy sformułowania problemu optymalnego rozdziału zasobu wyróżnione ze względu na postać wymagania użytkownika, wskazano sposoby ich rozwiązania oraz podano przykłady ilustracyjne.
EN
The paper concerns a resource distribution problem in a cascade of production operations with execution times described by relations containing unknown parameters. The parameters are assumed to be values of uncertain variables characterized by an expert. The paper presents three formulations of optimal resource distribution problem for different forms of user's requirement. Solutions and examples illustrating the presented approach are included.
EN
The present study discusses the problem of performance analysis of congestion control system in a computer network. The assessment of performance is performed by determining a certainty index of satisfying the expert's "soft" requirement. The requirement is formulated using the theory of uncertain variables.
EN
The paper is concerned with allocation problems for a class of parallel operations described by a relational knowledge representation. Unknown parameters in the relations are assumed to be values of uncertain variables described by certainty distributions given by an expert. Theorems concerning properties of the optima! allocation are presented. The equivalence of the solutions obtained by a direct approach to the allocation problem and by a decomposition is discussed. An example illustrates the presented method.
EN
For analysis and decision problems in a class of uncertain systems a concept of uncertain variables has been elaborated. In this paper it has been shown how the uncertain variables may be applied to an allocation problem for a class of parallel operations described by a relational knowledge representation with unknown parameters. The unknown parameters are characterized by certainty distributions given by an expert.
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