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    Wyświetlanie 1-7 z 7
    Tytuł:
    On stability of some lexicographic multicriteria Boolean problem
    Autorzy:
    Emelichev, V. A.
    Gurevsky, E. E.
    Powiązania:
    https://bibliotekanauki.pl/articles/970404.pdf
    Data publikacji:
    2007
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    vector optimization
    lexicographic set
    Boolean programming
    stability radius
    Opis:
    We consider a multicriteria lexicographic Boolean problem of minimizing absolute deviations of linear functions from zero. We investigate the stability radius which can be understood as a limit level of independent perturbations of the parameters, for which new lexicographic optima do not appear. Lower and upper accessible bounds of the stability radius are obtained.
    Źródło:
    Control and Cybernetics; 2007, 36, 2; 333-346
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Quality of solutions for perturbed combinatorial optimization problems
    Autorzy:
    Libura, M.
    Powiązania:
    https://bibliotekanauki.pl/articles/205967.pdf
    Data publikacji:
    2000
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    kombinatoryka
    optymalizacja
    teoria zbioru
    accuracy function
    accuracy radius
    combinatorial optimization
    sensitivity analysis
    stability function
    stability radius
    Opis:
    We consider a general combinatorial optimization problem in which the set of feasible solutions is defined as a given and fixed family of subsets for some finite ground set. To any element of the ground set the so-called weight is associated. The problem consists in finding a feasible subset for which the sum of weights of its elements is the minimum. When the weights of elements vary or are estimated with some accuracy, then the solution of the problem obtained for some initial weights may appear non-optimal. In this paper we consider the quality of a given solution in the case of weights perturbation or inaccuracy. Namely, we study the relative error of a given solution as a function of particular weights perturbation. We also calculate the maximum perturbation or estimation errors of weights which preserve the optimality of a given solution of the problem.
    Źródło:
    Control and Cybernetics; 2000, 29, 1; 199-219
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Post-optimal analysis for multicriteria integer linear programming problem of finding extreme solutions
    Autorzy:
    Emelichev, V. A.
    Nikulin, Y.
    Powiązania:
    https://bibliotekanauki.pl/articles/206614.pdf
    Data publikacji:
    2018
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    sensitivity analysis
    multiple criteria
    extreme solutions
    stability radius
    integer linear programming
    Opis:
    We consider a multicriteria problem of integer linear programming and study the set of all individual criterion minimizers (extreme solutions) playing an important role in determining the range of Pareto optimal set. In this work, the lower and upper attainable bounds on the stability radius of the set of extreme solutions are obtained in the situation where solution and criterion spaces are endowed with various H¨older’s norms. In addition, the case of the Boolean problem is analyzed. Some computational challenges are also discussed.
    Źródło:
    Control and Cybernetics; 2018, 47, 3; 225-238
    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
    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:
    Asymptotic stability in the Schauder fixed point theorem
    Autorzy:
    Shih, Mau-Hsiang
    Wu, Jinn-Wen
    Powiązania:
    https://bibliotekanauki.pl/articles/1217906.pdf
    Data publikacji:
    1998
    Wydawca:
    Polska Akademia Nauk. Instytut Matematyczny PAN
    Tematy:
    fixed point
    asymptotic stability
    spectral radius
    compact map
    holomorphic map
    normal family
    Whitney smooth extension theorem
    Opis:
    This note presents a theorem which gives an answer to a conjecture which appears in the book Matrix Norms and Their Applications by Belitskiĭ and Lyubich and concerns the global asymptotic stability in the Schauder fixed point theorem. This is followed by a theorem which states a necessary and sufficient condition for the iterates of a holomorphic function with a fixed point to converge pointwise to this point.
    Źródło:
    Studia Mathematica; 1998, 131, 2; 143-148
    0039-3223
    Pojawia się w:
    Studia Mathematica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    The effects of vehicle load on driving characteristics
    Autorzy:
    Rievaj, Vladimir
    Vrábel, Ján
    Synák, František
    Bartuška, Ladislav
    Powiązania:
    https://bibliotekanauki.pl/articles/102297.pdf
    Data publikacji:
    2018
    Wydawca:
    Stowarzyszenie Inżynierów i Techników Mechaników Polskich
    Tematy:
    gravity center of vehicle
    road curve radius
    speed at passage
    directional deviation
    vehicle stability
    środek ciężkości pojazdu
    promień łuku drogowego
    prędkość w przejściu
    odchylenie kierunkowe
    stabilność pojazdu
    Opis:
    Many traffic accidents are due to an incorrect assessment of the current situation by the driver of the vehicle. With correct assessment of the situation, the driver has also to take into account a number of other factors. This article focuses on some of these factors such as the vehicle load, vehicle speed and curve radius. The first part of the article deals with the position of the vehicle center of gravity (CG), which has a major impact on the driving characteritics of the vehicle. The paper demonstrates the calculation of the maximum speed of a car model and truck model (without load and with load) when cornering. The center of gravity has an effect on the vehicle axles load distribution, and thereby on braking forces. This issue is dealt with in the second part of the paper. In the last part the calculation of the braking force as a function of the adhesion coefficient of the tires depending on the road surface is mentioned. The importance of the contribution consists in quantifying the impact of vehicle load on its driving characteristics.
    Źródło:
    Advances in Science and Technology. Research Journal; 2018, 12, 1; 142-149
    2299-8624
    Pojawia się w:
    Advances in Science and Technology. Research Journal
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-7 z 7

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