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    Wyświetlanie 1-12 z 12
    Tytuł:
    The stability radius of an efficient solution in minimax Boolean programming problem
    Autorzy:
    Emelichev, V. A.
    Krichko, V. N.
    Nikulin, Y. V.
    Powiązania:
    https://bibliotekanauki.pl/articles/970431.pdf
    Data publikacji:
    2004
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    analiza wrażliwości
    promień stabilny
    programowanie Boole'a
    rozwiązanie optymalne Pareto
    sensitivity analysis
    stability radius
    Boolean programming
    Pareto optimal solution
    Opis:
    We consider a vector minimax Boolean programming problem. The problem consists in finding the set of Pareto optimal solutions. When the problem's parameters vary then the optimal solution of the problem obtained for some initial parameters may appear non-optimal. We calculate the maximal perturbation of parameters which preseves the Optimality of a given solution of the problem. The formula for the stability radius of the given Pareto optimal solution was obtained.
    Źródło:
    Control and Cybernetics; 2004, 33, 1; 127-132
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Critical points for vector-valued functions
    Autorzy:
    Lucchetti, R.
    Revalski, J.
    Thera, M.
    Powiązania:
    https://bibliotekanauki.pl/articles/206081.pdf
    Data publikacji:
    2002
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    nachylenie słabe
    optimum Pareto
    punkt krytyczny
    critical point
    mountain pass theorem
    Palais-Smale condition
    Pareto optimum
    weak slope
    Opis:
    This paper contains a mountain pass theorem for continuous mappings, defined on a complete metric space and taking values in a real Banach space, ordered by a closed convex cone. We use the concept of critical point introduced by Degiovanni, Lucchetti and Ribarska, and we furnish a variant of their result, allowing for a localization both of the critical point and of the critical value.
    Źródło:
    Control and Cybernetics; 2002, 31, 3; 545-555
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Weak sharp minima in multiobjective optimization
    Autorzy:
    Studniarski, M.
    Powiązania:
    https://bibliotekanauki.pl/articles/970933.pdf
    Data publikacji:
    2007
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    weak psi-sharp Pareto minima
    nonsmooth functions
    multiobjective optimization
    Opis:
    We extend some necessary and sufficient conditions for strict local Pareto minima of order m obtained by Jiménez (2002) to the case of weak ψ-sharp local Pareto minima, i.e., to the case when the local solution is not necessarily unique.
    Źródło:
    Control and Cybernetics; 2007, 36, 4; 925-937
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Analysis of strategies in a monetary-fiscal game. The case of Poland
    Autorzy:
    Krus, L.
    Woroniecka-Leciejewicz, I.
    Powiązania:
    https://bibliotekanauki.pl/articles/205618.pdf
    Data publikacji:
    2016
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    monetary-fiscal game
    macroeconomic modeling
    Nash equilibria
    Pareto optimality
    Opis:
    A monetary-fiscal game describing the interactions of the fiscal and monetary authorities is formulated and analyzed. A macroeconomic model for the Polish economy has been formulated on the basis of the concept of New Neoclassical Synthesis and respectively extended so as to accommodate the effects of fiscal policy. Several variants of the model have been estimated using statistical data for the Polish economy. It is assumed in the game that each party (monetary and fiscal) tries to achieve its own goal: the fiscal authority – the assumed GDP growth, and the monetary authority – an inflation level. The best response strategies of the authorities and the Nash equilibria are calculated and analyzed in two cases, namely when the decisions are made simultaneously and sequentially. The simulation results obtained indicate that when the authorities try to achieve independently their goals, in a general case the Nash equilibrium is not Pareto optimal. The best response strategies may lead to conflict escalation and to results which are not beneficial for both parties.
    Źródło:
    Control and Cybernetics; 2016, 45, 2; 163-183
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    On necessary and sufficient conditions for stability and quasistability in combinatorial multicriteria optimization
    Autorzy:
    Kuzmin, K. G.
    Nikulin, Y. V.
    Makela, M. M.
    Powiązania:
    https://bibliotekanauki.pl/articles/206093.pdf
    Data publikacji:
    2017
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    sensitivity analysis
    multiple criteria
    combinatorial optimization
    Pareto set
    stability conditions
    Opis:
    We consider a multiple objective combinatorial optimization problem with an arbitrary vector-criterion. The necessary and sufficient conditions for stability and quasistability are obtained for large classes of problems with partial criteria possessing certain properties of regularity.
    Źródło:
    Control and Cybernetics; 2017, 46, 4; 361-382
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Qualitative stability analysis of multicriteria combinatorial minimin problems
    Autorzy:
    Emelichev, V. A.
    Karelkina, O. V.
    Kuzmin, K. G.
    Powiązania:
    https://bibliotekanauki.pl/articles/206273.pdf
    Data publikacji:
    2012
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    combinatorial optimization
    Pareto set
    lexicographic set
    stability analysis
    stability types
    Opis:
    A multicriteria combinatorial problem with minimin partial criteria is considered. Necessary and sufficient conditions for the five known stability types of the problem are obtained. These stability types describe in different ways the behavior of the Pareto and lexicographic sets of the problem under initial data perturba- tions of the vector criteria.
    Źródło:
    Control and Cybernetics; 2012, 41, 1; 57-79
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Stability and accuracy functions in multicriteria combinatorial optimization problem with [Sigma]-MINMAX and [Sigma]-MINMIN partial criteria
    Autorzy:
    Libura, M.
    Nikulin, Y.
    Powiązania:
    https://bibliotekanauki.pl/articles/970484.pdf
    Data publikacji:
    2004
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    wielokryterialna optymalizacja kombinatoryczna
    analiza wrażliwości
    funkcje stabilności i dokładności
    optimum Pareto i leksykograficzne
    multicriteria combinatorial optimization
    sensitivity analysis
    stability and accuracy functions
    Pareto and lexicographic optima
    Opis:
    We consider a vector generic combinatorial optimization problem in which initial coefficients of objective functions are subject to perturbations. For Pareto and lexicographic principles of efficiency we introduce appropriate measures of quality of a given feasible solution from the point of view of its stability. These measures correspond to so-called stability and accuracy functions denned earlier for scalar optimization problems. Then we study properties of such functions and calculate the maximal norms of perturbations for which an efficient solution preserves the efficiency.
    Źródło:
    Control and Cybernetics; 2004, 33, 3; 511-524
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Assessment of the historical policy mixes for Poland using the game approach
    Autorzy:
    Kruś, L.
    Woroniecka-Leciejewicz, I.
    Powiązania:
    https://bibliotekanauki.pl/articles/205620.pdf
    Data publikacji:
    2018
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    game theory
    economic modeling
    policy-mix
    decision analysis
    Nash equilibrium
    Pareto optimality
    Opis:
    The study here presented pertains to the analysis of mutual interactions of the monetary and fiscal policies in the case of Poland. The historical policies carried out during different periods of time and their economic effects are compared with the possible strategies, obtained from the analysis of the proposed monetaryfiscal game. In the study, the methods of non-cooperative game theory are combined with macroeconomic modeling. The respective game is formulated for monetary and fiscal authorities as players. Strategies of these players refer to the respective instruments of their policies: the real interest rate and the budget deficit in relation to GDP. Payoffs include inflation and GDP growth, respectively. The payoffs are calculated using a recursive macroeconomic model estimated for the Polish economy. The model describes influences of the instruments of the monetary and fiscal policies on the state of the economy. The best response strategies, the Nash equilibria and Pareto optimality are analyzed. Changes of the policies towards the more restrictive or more expansive ones and their effects in comparison to the historically applied are discussed. This is performed for two different time periods – the time of recovery after 2004 and the time of the global financial crisis after 2008.
    Źródło:
    Control and Cybernetics; 2018, 47, 3; 277-300
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Optimality conditions in multiobjective programming problems with interval valued objective functions
    Autorzy:
    Ahmad, I.
    Singh, D.
    Dar, B. A.
    Powiązania:
    https://bibliotekanauki.pl/articles/206566.pdf
    Data publikacji:
    2015
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    interval valued functions
    gH-differentiablity
    Pareto optimal solutions
    pseudoconvexity
    KKT optimality conditions
    Opis:
    We devote this paper to study of multiobjective programming problems with interval valued objective functions. For this, we consider two order relations LU and LS on the set of all closed intervals and propose several concepts of Pareto optimal solutions and generalized convexity. Based on generalized convexity (viz. LU and LS-pseudoconvexity) and generalized differentiability (viz. gHdifferentiablity) of interval valued functions, the KKT optimality conditions for aforesaid problems are obtained. The theoretical development is illustrated by suitable examples.
    Źródło:
    Control and Cybernetics; 2015, 44, 1; 19-45
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    A method of approximating Pareto sets for assessments of implicit Pareto set elements
    Autorzy:
    Kaliszewski, I.
    Powiązania:
    https://bibliotekanauki.pl/articles/970402.pdf
    Data publikacji:
    2007
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    multiple criteria decision making
    bi-criteria problems
    Pareto set
    efficiency
    convex function approximation
    sandwich algorithms
    Opis:
    Deriving efficient variants in complex multiple criteria decision making problems requires optimization. This hampers greatly broad use of any multiple criteria decision making method. In multiple criteria decision making Pareto sets, i.e. sets of efficient vectors of criteria values corresponding to feasible decision alternatives, are of primal interest. Recently, methods have been proposed to calculate assessments for any implicit element of a Pareto set (i.e. element which has not been derived explicitly but has been designated in a form which allows its explicit derivation, if required) when a finite representation of the Pareto set is known. In that case calculating respective bounds involves only elementary operations on numbers and does not require optimization. In this paper the problem of approximating Pareto sets by finite representations which assure required tightness of bounds is considered for bicriteria decision making problems. Properties of a procedure to derive such representations and its numerical behavior are investigated.
    Źródło:
    Control and Cybernetics; 2007, 36, 2; 367-381
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Analysis of monotonicity properties of some rule interestingness measures
    Autorzy:
    Greco, S.
    Słowiński, R.
    Szczęch, I.
    Powiązania:
    https://bibliotekanauki.pl/articles/1839193.pdf
    Data publikacji:
    2009
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    association rules
    Piatetsky-Shapiro's rule interest function
    gain measure
    dependency factor
    anti-support
    Pareto-optimal border
    Opis:
    One of the crucial problems in the field of knowledge discovery is development of good interestingness measures for evaluation of the discovered patterns. In this paper, we consider quantitative, objective interestingness measures for "if..., then... " association rules. We focus on three popular interestingness measures, namely rule interest function of Piatetsky-Shapiro, gain measure of Fukuda et al., and dependency factor used by Pawlak. We verify whether they satisfy the valuable property M of monotonic dependency on the number of objects satisfying or not the premise or the conclusion of a rule, and property of hypothesis symmetry (HS). Moreover, analytically and through experiments we show an interesting relationship between those measures and two other commonly used measures of rule support and anti-support.
    Źródło:
    Control and Cybernetics; 2009, 38, 1; 9-25
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Stability kernel in finite games with perturbed payoffs
    Autorzy:
    Emelichev, Vladimir
    Nikulin, Yury
    Powiązania:
    https://bibliotekanauki.pl/articles/2183484.pdf
    Data publikacji:
    2022
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    post-optimal analysis
    multiple criteria
    kernel stability radius
    independent perturbations
    finite games
    Pareto optimality
    Nash equilibrium
    Opis:
    The parametric concept of equilibrium in a finite cooperative game of several players in a normal form is introduced. This concept is defined by the partitioning of a set of players into coalitions. Two extreme cases of such partitioning correspond to Pareto optimal and Nash equilibrium outcomes, respectively. The game is characterized by its matrix, in which each element is a subject for independent perturbations., i.e. a set of perturbing matrices is formed by a set of additive matrices, with two arbitrary Hölder norms specified independently in the outcome and criterion spaces. We undertake post-optimal analysis for the so-called stability kernel. The analytical expression for supreme levels of such perturbations is found. Numerical examples illustrate some of the pertinent cases.
    Źródło:
    Control and Cybernetics; 2022, 51, 1; 6--20
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-12 z 12

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