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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:
Improved Differential Evolution Algorithm to solve multi-objective of optimal power flow problem
Autorzy:
Al-Kaabi, Murtadha
Hasheme, Jaleel Al
Al-Bahrani, Layth
Powiązania:
https://bibliotekanauki.pl/articles/2135728.pdf
Data publikacji:
2022
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
Multi-objective Improved Differential Evolution Algorithm
MOIDEA
optimal power flow
OPF
set of Pareto front solutions
multi-objective function problems
fuel costs considering emissions
fuel costs considering real power losses
fuel costs considering voltage deviation
Opis:
This article presents a new efficient optimization technique namely the Multi- Objective Improved Differential Evolution Algorithm (MOIDEA) to solve the multiobjective optimal power flow problem in power systems. The main features of the Differential Evolution (DE) algorithm are simple, easy, and efficient, but sometimes, it is prone to stagnation in the local optima. This paper has proposed many improvements, in the exploration and exploitation processes, to enhance the performance of DE for solving optimal power flow (OPF) problems. The main contributions of the DE algorithm are i) the crossover rate will be changing randomly and continuously for each iteration, ii) all probabilities that have been ignored in the crossover process have been taken, and iii) in selection operation, the mathematical calculations of the mutation process have been taken. Four conflicting objective functions simultaneously have been applied to select the Pareto optimal front for the multi-objective OPF. Fuzzy set theory has been used to extract the best compromise solution. These objective functions that have been considered for setting control variables of the power system are total fuel cost (TFC), total emission (TE), real power losses (RPL), and voltage profile (VP) improvement. The IEEE 30-bus standard system has been used to validate the effectiveness and superiority of the approach proposed based on MATLAB software. Finally, to demonstrate the effectiveness and capability of the MOIDEA, the results obtained by this method will be compared with other recent methods.
Źródło:
Archives of Electrical Engineering; 2022, 71, 3; 641--657
1427-4221
2300-2506
Pojawia się w:
Archives of Electrical Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Redukcja hałasu w pomieszczeniu z zaburzeniem wibroakustycznym poprzez optymalny rozkład materiału dźwiękochłonnego
Noise reduction in a room with vibroacoustic disturbance by the optimal absorptive material distribution
Autorzy:
Błażejewski, A.
Powiązania:
https://bibliotekanauki.pl/articles/153480.pdf
Data publikacji:
2012
Wydawca:
Stowarzyszenie Inżynierów i Techników Mechaników Polskich
Tematy:
akustyka
amplitudy modalne
optymalizacja
algorytmy genetyczne
zbiór rozwiązań Pareto-optymalnych
acoustics
modal amplitudes
optimization
genetic algorithms
Pareto-optimal set
Opis:
Praca dotyczy zagadnienia rozmieszczenia porowatego materiału absorbującego o zespolonej impedancji akustycznej na brzegach obszaru (pomieszczenia), w którym umieszczone zostało harmoniczne źródło wibroakustyczne. Uproszczony model rozkładu ciśnienia akustycznego w pomieszczeniu uzyskano stosując analizę modalną. Do rozwiązania problemu optymalizacji wykorzystano algorytm genetyczny. Połączenie uproszonego modelu oraz algo-rytmu genetycznego, pozwala na znaczne szybsze i mniej kosztowne obliczeniowo, uzyskiwanie wyników optymalizacji, w postaci rozkładu materiału absorpcyjnego w pomieszczeniu.
In the paper a problem how to properly influence an acoustic field in the enclosure with a Vibro-acoustical source [1] inside is considered. Particularly, optimization of the configuration of an acoustic absorber, i.e. porous material characterized by a complex impedance on the boundary, is presented [2]. The combination of the modal approach to modeling of the room acoustic field and the artificial intelligence methods to the optimization is a new attitude to the problem. In order to describe the acoustic pressure distribution inside the enclosure, the modal analysis with modal coupling was applied and presented in Section 2. In this case the acoustic pressure distribution in the room is a sum over a set of the room eigenfunctions and proper time components i.e. modal amplitudes [2, 3]. The formulae describing these amplitudes were obtained and eventually introduced into the multi-objective function definition [2, 4] in Section 3. The acoustic impedances on the room boundaries correlated with the material thickness were selected as design variables. In order to solve the optimization problem defined in Section 3 directly, a genetic algorithm was applied. The non-dominated solutions were searched in the process [2, 4, 5, 6]. The main ingredients of the algorithm and its settings are described in Section 4. In Section 5 the example object (room) is specified and shown in detail in Tab. 1. Applying a specific acoustic absorber on the boundary [2, 7], the room with the harmonic source was modified according to the optimization method. As the result, the set of the Pareto-optimal solutions was obtained (see Fig. 1). One solution of the Pareto set was selected and corresponding, particular boundaries covering with the acoustic absorber are shown in Fig. 2. Last, the model accuracy and the optimization results, i.e. noise reduction, are presented in Figs. 3a and 3b. The result verification was performed by comparison with the acoustic measurements (see Figs. 3c and 3d).
Źródło:
Pomiary Automatyka Kontrola; 2012, R. 58, nr 6, 6; 536-539
0032-4140
Pojawia się w:
Pomiary Automatyka Kontrola
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Multi - criteria decision making using fuzzy preference relations
Autorzy:
Borzęcka, H.
Powiązania:
https://bibliotekanauki.pl/articles/406292.pdf
Data publikacji:
2012
Wydawca:
Politechnika Wrocławska. Oficyna Wydawnicza Politechniki Wrocławskiej
Tematy:
fuzzy sets
optimization
Pareto-optimal set
Opis:
When dealing with multi-criteria decision making problems, the concept of Pareto-optimality and Pareto-dominance may be inefficient (e.g. generally multiple solutions exist), especially when there is a large number of criteria. Our paper considers the fuzzy multi-criteria decision making problem based on Zadeh’s linguistic approach to P-optimality and P-dominance. The construction, analysis and application of a model of multi-criteria decision making using a fuzzy preference relation are considered. The paper is dedicated to the problem of modeling preferences in terms of fuzzy binary relations and provides an introduction to the important problem of forming fuzzy preference relations to analyze models of multi-attribute decision making. The key features of the multi-criteria evaluation, comparison, choice and ordering of alternatives in a fuzzy environment using fuzzy preference relations have been introduced.
Źródło:
Operations Research and Decisions; 2012, 22, 3; 5-21
2081-8858
2391-6060
Pojawia się w:
Operations Research and Decisions
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Optymalizacja konstrukcji pojemnościowego ogrzewacza wody
Optimization of a storage water heater construction
Autorzy:
Chamera, S.
Maciejewski, I.
Krzyżyński, T.
Powiązania:
https://bibliotekanauki.pl/articles/153778.pdf
Data publikacji:
2011
Wydawca:
Stowarzyszenie Inżynierów i Techników Mechaników Polskich
Tematy:
optymalizacja
rozwiązanie Pareto-optymalne
energooszczędność
optimization
Pareto optimal solution
energy saving
Opis:
W artykule przedstawiono optymalizację elementów konstrukcji pojemnościowego ogrzewacza wody. Kryteria optymalizacji to minimalizacja zużycia energii oraz kosztów materiałowych elementów konstrukcyjnych ogrzewacza, decydujących o zużyciu energii. Rozwiązania Pareto-optymalne przedstawione są w postaci punktów, które decydują o wartościach pięciu zmiennych decyzyjnych. Przedstawiony algorytm optymalizacyjny może posłużyć do wspomagania konstruowania optymalnych w sensie kosztów wytworzenia i energooszczędności pojemnościowych urządzeń grzewczych.
The paper presents optimization of elements in a storage water heater construction. Two optimization criteria are taken into account: energy saving and minimum costs of materials, used in the construction of a water heater. The construction elements used in a heater have significant influence on the value of energy consumption. Basic construction elements of the storage water heater are shortly described. Fundamental physical and mechanical properties of selected materials used in a thermal insulation of the heaters are shown. The optimization task is delineated and an object of the optimization is also schematically presented. Additionally, the paper contains a mathematical model of the optimization and a range of decision variables. The Pareto-optimal solution points are calculated. These points decide on the values of five decision variables. When designing the storage water heater appliances, these optimization algorithms can be used to get the optimal material costs and energy saving. The paper is strictly focused on the cost of the materials used, not the cost of the heater manufacturing itself. Additional costs can be added by processing the considered material, for example polyurethane foam or by performing foamed polystyrene molders - properly to heater dimensions. The scale of additional costs surely depends on an output volume and technical capacities of a manufacturing plant - for example the size of machine park. Additional costs related to specific construction materials can be analyzed in other, individual consideration.
Źródło:
Pomiary Automatyka Kontrola; 2011, R. 57, nr 11, 11; 1425-1427
0032-4140
Pojawia się w:
Pomiary Automatyka Kontrola
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Design of Pareto-Optimal Radar Receive Filters
Autorzy:
De Maio, A.
Piezzo, M.
Iommelli, S.
Farina, A.
Powiązania:
https://bibliotekanauki.pl/articles/227067.pdf
Data publikacji:
2011
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
radar receive filter design
mismatched filte
design
multi-objective optimization problem
Pareto-optimal points
Opis:
This paper deals with the design of radar receive filters jointly optimized with respect to sidelobe energy and sidelobe peaks via Pareto-optimal theory. We prove that this criterion is tantamount to jointly minimizing two quadratic forms, so that the design can be analytically formulated in terms of a multi-objective optimization problem. In order to solve it, we resort to the scalarization technique, which reduces the vectorial problem into a scalar one using a Pareto weight defining the relative importance of the two objective functions. At the analysis stage, we assess the performance of the receive filters in correspondence of different values of the Pareto weight highlighting the performance compromises between the Integrated Sidelobe Level (ISL) and the Peak Sidelobe Level (PSL).
Źródło:
International Journal of Electronics and Telecommunications; 2011, 57, 4; 477-481
2300-1933
Pojawia się w:
International Journal of Electronics and Telecommunications
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On localizing global Pareto solutions in a given convex set
Autorzy:
Drwalewska, Agnieszka
Gajek, Lesław
Powiązania:
https://bibliotekanauki.pl/articles/1338686.pdf
Data publikacji:
1999
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
sufficient and necessary conditions for optimality
Pareto optimal solutions
dual cones
feasible directions
Opis:
Sufficient conditions are given for the global Pareto solution of the multicriterial optimization problem to be in a given convex subset of the domain. In the case of maximizing real valued-functions, the conditions are sufficient and necessary without any convexity type assumptions imposed on the function. In the case of linearly scalarized vector-valued functions the conditions are sufficient and necessary provided that both the function is concave and the scalarization is increasing with respect to the cone generating the preference relation.
Źródło:
Applicationes Mathematicae; 1999, 26, 4; 383-394
1233-7234
Pojawia się w:
Applicationes Mathematicae
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A communication network routing problem: Modeling and optimization using non-cooperative game theory
Autorzy:
Dubey, Sapana P.
Kedar, Ganesh D.
Ghate, Suresh H.
Powiązania:
https://bibliotekanauki.pl/articles/1838181.pdf
Data publikacji:
2021
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
communication network
routing problem
game theory
focal points
Nash equilibrium
Pareto optimal solution
sieć komunikacyjna
teoria gier
punkt ogniskowy
równowaga Nasha
Opis:
We consider a communication network routing problem wherein a number of users need to efficiently transmit their throughput demand in the form of data packets (incurring less cost and less delay) through one or more links. Using the game theoretic perspective, we propose a dynamic model which ensures unhindered transmission of data even in the case where the capacity of the link is exceeded. The model incorporates a mechanism in which users are appropriately punished (with additional cost) when the total data to be transmitted exceeds the capacity of the link. The model has multiple Nash equilibrium points. To arrive at rational strategies, we introduce the concept of focal points and get what is termed focal Nash equilibrium (FNE) points for the model. We further introduce the concept of preferred focal Nash equilibrium (PFNE) points and find their relation with the Pareto optimal solution for the model.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2021, 31, 1; 155-164
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Optimal Labour Income Taxation in Poland: The Case of High-Income Earners
Optymalne opodatkowanie dochodów z pracy w Polsce – przypadek osób o wysokich dochodach
Autorzy:
Dudek, Maciej
Dudek, Paweł
Walczyk, Konrad
Powiązania:
https://bibliotekanauki.pl/articles/2182067.pdf
Data publikacji:
2023-03-31
Wydawca:
Szkoła Główna Handlowa w Warszawie. Kolegium Analiz Ekonomicznych
Tematy:
dobrobyt społeczny
efektywność ekonomiczna
rozkład Pareto
podatek optymalny
social welfare
economic efficiency
Pareto distribution
optimal taxation
Opis:
In this paper, we use actual data provided by the Polish tax authority and characterise the properties of income distribution in Poland in the case of high-income earners. By employing a variety of techniques we are able to confirm that the distribution of income in Poland can be approximated with a Pareto distribution in its upper tail. This finding makes the formula for the optimal marginal tax rates of Saez [2001] applicable to the Polish case and allows us to provide estimates of the optimal marginal tax rates for Poland. We show that the current tax policy in Poland is not optimal. Specifically, we show, by relying on empirically viable estimates of the elasticity of the labour supply with respect to the wage, that the optimal marginal tax rate at high income levels exceeds 60%. In other words, we suggest that there is room for a welfare-improving reform in Poland, and we argue that high-income individuals should be expected to contribute substantially more at the margin than they currently do.
Na podstawie analizy danych pochodzących z zeznań podatkowych można dowieść, że faktyczny rozkład dochodów osób o wysokich dochodach w Polsce może być dostatecznie dobrze przybliżony przez rozkład Pareto. Oznacza to, że do wyznaczenia optymalnej, krańcowej stopy podatku dochodowego można użyć formuły Saeza [2001]. Z analizy wynika, że obecna taryfa opodatkowania wynagrodzeń w Polsce nie jest optymalna. Jeśli uznać znane szacunki płacowej elastyczności podaży pracy za wiarygodne, optymalna stawka podatku od dochodów z pracy powinna przekroczyć 60%. Inaczej mówiąc, istnieje pole do poprawy efektywności systemu opodatkowania wynagrodzeń w Polsce poprzez podwyższenie krańcowej stopy podatku dla osób o najwyższych dochodach.
Źródło:
Gospodarka Narodowa. The Polish Journal of Economics; 2023, 313, 1; 41-65
2300-5238
Pojawia się w:
Gospodarka Narodowa. The Polish Journal of Economics
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:
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:
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:
Graph Theory Approach to Transportation Systems Design and Optimization
Autorzy:
Guze, S.
Powiązania:
https://bibliotekanauki.pl/articles/117201.pdf
Data publikacji:
2014
Wydawca:
Uniwersytet Morski w Gdyni. Wydział Nawigacyjny
Tematy:
graph theory
Transportation System
Transportation System Design
Transportation Systems Optimization
SPEA Algorithm
Pareto optimal
Multicriteria Optimisation
optimization
Opis:
The main aim of the paper is to present graph theory parameters and algorithms as tool to analyze and to optimise transportation systems. To realize these goals the 0-1 knapsack problem solution by SPEA algorithm, methods and procedures for finding the minimal spanning tree in graphs and digraphs, domination parameters problems accurate to analyse the transportation systems are introduced and described. Possibility of application of graph theory algorithms and parameters to analyze exemplary transportation system are shown.
Źródło:
TransNav : International Journal on Marine Navigation and Safety of Sea Transportation; 2014, 8 no. 4; 572-578
2083-6473
2083-6481
Pojawia się w:
TransNav : International Journal on Marine Navigation and Safety of Sea Transportation
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Pareto optimal control problem and its Galerkin approximation for a nonlinear one-dimensional extensible beam equation
Autorzy:
Just, A.
Stempień, Z.
Powiązania:
https://bibliotekanauki.pl/articles/255243.pdf
Data publikacji:
2016
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
nonlinear beam equation
Pareto optimal control
Galerkin approximation
Opis:
Our goal is to study the Pareto optimal control system for a nonlinear one-dimensional extensible beam equation and its Galerkin approximation. First we consider a mathematical model of the beam equation which was obtained by S. Woinowsky-Krieger in 1950. Next we consider the Pareto optimal control problem based on this equation. Further, we describe the approximation of this system. We use the Galerkin method to approximate the solution of this control problem with respect to a spatial variable. Based on the standard finite dimensional approximation we prove that as the discretization parameters tend to zero then the weak accumulation point of the solutions of the discrete optimal control problems exist and each of these points is the solution of the original Pareto optimal control problem.
Źródło:
Opuscula Mathematica; 2016, 36, 2; 239-252
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Compromise of two-criteria final payoff of the game ship control in collision situations
Autorzy:
Lisowski, J.
Powiązania:
https://bibliotekanauki.pl/articles/1841477.pdf
Data publikacji:
2021
Wydawca:
Uniwersytet Morski w Gdyni. Wydział Nawigacyjny
Tematy:
collision situation
pareto optimal
multi-criteria static optimization
bentham's utilitarian rule
Salukvadze's Benchmark
benson's weighted sums
haimes's constraints
Opis:
The essence of the article is the use of multi-criteria static optimization of object motion, based on a set of optimal Pareto points in the space of possible variants of solutions for a new approach to the problem as a game control. Using the example of the two-criteria optimization of the final payoff of the object game control during the safe evasion of the encountered objects, six methods of multi-criteria static optimization are presented—Bentham's utilitarian rule, Rawls's principle of justice, Salukvadze's benchmark, Benson's weighted sums, Haimes's constraints, and goal-oriented programming. In the end, the results obtained by the two-criteria optimization are compared with regard to the values of the components of the final game payoff—the risk of collision and the deviation of the object from the safe route of the set trajectory of movement. The directions for the development of multi-criteria optimization methods, both static and dynamic, and the game are indicated.
Źródło:
TransNav : International Journal on Marine Navigation and Safety of Sea Transportation; 2021, 15, 2; 455-461
2083-6473
2083-6481
Pojawia się w:
TransNav : International Journal on Marine Navigation and Safety of Sea Transportation
Dostawca treści:
Biblioteka Nauki
Artykuł
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