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EN
The article presents selected types of phase change materials (PCM) and their properties in terms of applications in construction and concrete technology. The purpose of using PCM is to allow the technological barrier to be exceeded in hot and dry climate conditions, enabling the construction of non-cracking concrete structures. Methodology of the multi-criteria decision-making process with the use of a relatively new decision-making tool in construction - the Analytical Hierarchical Process (AHP) is presented. Theoretical aspects of the method and an example of its practical use for the selection of the best material variant and concrete care method in the dry Syrian climate are presented. The conclusions resulting from the presented article concern two areas, i.e. the advisability of using phase change materials for temperature regulation in the maturing fresh concrete in dry climate conditions and the attractiveness of the AHP method justifying the advisability of choosing the maintenance methods in such conditions.
PL
W artykule przedstawiono wybrane rodzaje materiałów zmiennofazowych (PCM) oraz ich właściwości pod kątem zastosowań w budownictwie, w tym w technologii betonu. Celem stosowania PCM jako dodatku do świeżego betonu jest umożliwienie przekroczenia określonych barier technologicznych występujących w warunkach klimatu gorącego i suchego, gwarantując schładzanie betonu i tym samym wykonanie niezarysowanych konstrukcji betonowych. Przedstawiono metodologię wielokryterialnego procesu decyzyjnego związanego z wyborem różnych wariantów pielęgnacji betonu w warunkach ekstremalnie suchych z wykorzystaniem stosunkowo nowego narzędzia decyzyjnego w budownictwie jakim jest AHP tj. Analytic Hierarchy Process. Przedstawiono teoretyczne aspekty metody oraz przykład jej praktycznego zastosowania do wyboru najlepszego rodzaju cementu oraz betonu i metody jego pielęgnacji w suchym klimacie syryjskim. Wnioski płynące z przedstawionego artykułu dotyczą dwóch obszarów, tj. celowości stosowania materiałów PCM z przemianą fazową o stosunkowo niskiej temperaturze do regulacji temperatury w dojrzewającym świeżym betonie w suchych warunkach klimatycznych oraz atrakcyjności metody AHP uzasadniającej celowość wyboru alternatywnych metod pielęgnacji młodego betonu w takich warunkach.
2
EN
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.
EN
This paper addresses a multicriteria problem of integer linear programming with parametric optimality. Parameterizations is introduced by dividing a set of objectives into a family of disjoint subsets, within each Pareto optimality is used to establish dominance between alternatives. The introduction of this principle allows us to connect such classical optimality sets as Pareto and extreme. The parameter space of admissible perturbations in such problem is formed by a set of additive matrices, with arbitrary Hölder’s norms specified in the solution and criterion spaces. The attainable lower and upper bounds for the radii of quasistability are obtained.
EN
Hydropower plants are crucial to society. Maintenance becomes vital for the prevention of unforeseen stoppages and a complete breakdown of the machine in a hydropower plant. The deterioration of these assets and the optimal allocation of a limited budget for their maintenance correspond to crucial challenges for hydropower plant utility managers. Decision makers should be assisted with optimal solutions to select the best maintenance. We assess the most popular maintenance approaches, utilizing the Multiple Criteria Decision Making (MCDM) evaluation methodology. Analytic hierarchy process (AHP), an effective method that can solve a multiple criteria decision making problem, was applied to the problem of hydropower plants’ maintenance to gain a scientific and objective view on maintenance scheduling.
PL
Elektrownie wodne mają kluczowe znaczenie dla społeczeństwa. Konserwacja staje się niezbędna w zapobieganiu nieprzewidzianym przestojom i całkowitemu uszkodzeniu maszyn w elektrowni wodnej. Pogorszenie stanu tych zasobów i optymalna alokacja ograniczonego budżetu na ich utrzymanie odpowiadają najważniejszym wyzwaniom dla zarządców zakładów energetyki wodnej. Decydenci powinni być wspierani optymalnymi rozwiązaniami, aby wybrać najlepszą strategię obsługi. W artykule opisano najbardziej popularne metody konserwacji, a następnie dokonano ich oceny wykorzystując wielokryterialną metodę wspomagania decyzji (MCDM). Analityczny proces hierarchiczny (AHP), to skuteczna metoda, która może rozwiązać problem podejmowania decyzji, na którą ma wpływ wiele składowych. Zaproponowano wprowadzenie tej metody do wyboru sposobu obsługi elektrowni wodnych w celu uzyskania naukowego i obiektywnego harmonogramu konserwacji.
EN
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.
EN
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.
7
Content available Hybrid Models for the OWA Optimization
EN
When dealing with multicriteria problems, the aggregation of multiple outcomes plays an essential role in finding a solution, as it reflects the decision-maker's preference relation. The Ordered Weighted Averaging (OWA) operator provides a exible preference model that generalizes many objective functions. It also ensures the impartiality and allow to obtain equitable solutions, which is vital when the criteria represent evaluations of independent individuals. These features make the OWA operator very useful in many fields, one of which is location analysis. However, in general the OWA aggregation makes the problem nonlinear and hinder its computational complexity. Therefore, problems with the OWA operator need to be devised in an efficient way. The paper introduces new general formulations for OWA optimization and proposes for them some simple valid inequalities to improve efficiency. A hybrid structure of proposed models makes the number of binary variables problem type dependent and may reduce it signicantly. Computational results show that for certain problem types, some of which are very useful in practical applications, the hybrid models perform much better than previous general models from literature.
EN
The land consolidation process is a measure transforming the spatial structure of rural areas in the countries of the European Union and Poland. It is a complex, extremely labour-consuming investment process preceded by a detailed inventory of the existing state, and analysis of objectives and tools as well as effects expected after its completion. It should constitute a component of sustainable and multifunctional development of rural areas, stimulating the development of functions fulfilled by such areas in the economic, social, and environmental aspect. Through changes in the ownership structure and land use, it permits designation of functional-spatial areas, therefore reducing potential spatial conflicts. It has a positive effect on the development of agriculture, and particularly ecological production, and other non-agricultural functions. The article presents a concept of the multicriteria model of spatial analyses aimed at supporting sustainable and multifunctional development of rural areas, with particular consideration of the land consolidation process. The concept of the model was prepared in accordance with the assumptions of the AHP (Analytic Hierarchy Process) method. This permitted ordering the rich resource of diverse input data in a logical structure for the purpose of development of multi-variant solutions to a given decision problem , and selection of the exclusive, most appropriate proposal. The model is a tool in the GIS (Geographic Information System) environment. Due to this, information obtained as a result of analyses can be presented in the form of legible thematic maps. This will undoubtedly support the process of space development in rural areas. It is an important, efficient opinion-making tool allowing for a broader insight exceeding individual interests.
EN
Decisions regarding agricultural production involve multiple goals. A multicriteria approach allows decision makers to consider more aspects of the decision scenario, although it also leads to other problems, such as difficulties with the selection of goals or criteria, as well as assigning them appropriate weights. It is argued that not only do goals vary depending on the decision-makers’ socioeconomic features, but their relative importance changes as well. A simulation study has been conducted based on the Farm Accountancy Data Network (FADN) database. We use the distance-to-the-negative-solution maximization model. Seven sets of criteria and different sets of weights are considered. The main purpose of the study is to determine the impact of weights on the quality of the model. Quality is assessed by comparing the optimal and observed values of the decision variables. The results lead to the conclusion that the differences between the quality of various models are small.
10
Content available On MILP Models for the OWA Optimization
EN
The problem of aggregating multiple outcomes to form overall objective functions is of considerable importance in many applications. The ordered weighted averaging (OWA) aggregation uses the weights assigned to the ordered values (i.e., to the largest value, the second largest and so on) rather than to the specific coordinates. It allows to evaluate solutions impartially, when distribution of outcomes is more important than assignments these outcomes to the specific criteria. This applies to systems with multiple independent users or agents, whose objectives correspond to the criteria. The ordering operator causes that the OWA optimization problem is nonlinear. Several MILP models have been developed for the OWA optimization. They are built with different numbers of binary variables and auxiliary constraints. In this paper we analyze and compare computational performances of the different MILP model formulations.
PL
W artykule zaprezentowano metodykę rozwiązywania problemu wyboru/ selekcji taboru dla systemu publicznego transportu miejskiego. Problem decyzyjny sformułowano, jako zadanie wielokryterialnego szeregowania wariantów - tramwajów niskopodłogowych. W procesie decyzyjnym uwzględniono interesy różnych podmiotów, tj. reprezentantów: pasażerów, operatora (przewoźnika) i władz miejskich (w tym organów organizujących transport miejski). Zdefiniowano spójną rodzinę kryteriów oceniających warianty (tramwaje). Przedstawiono sposób definiowania i modelowania preferencji decydentów i interwenientów oraz osiągania kompromisu grupowego według dwóch odrębnych ścieżek (schematów), tj.: "ex-ante" i "ex-post". W eksperymentach obliczeniowych wykorzystano metodę AHP.
EN
The paper presents the methodology of solving a fleet selection problem for a public transportation system. The decision problem is formulated as a multiple criteria ranking of variants – low-floor tram–cars. The interests of different stakeholders, such as the representatives of: passengers, operator (carrier) and local authorities (including public transport organizers) have been taken into account in the decision making process. A consistent family of criteria, evaluating variants (trams), has been defined. The way of defining and modeling decision maker’s (DM’s) and interveners’ preferences as well as reaching the group compromise along two separate frameworks, i.e.: “ex-ante” and “expost” has been presented. The AHP method has been applied in the computational experiments.
12
Content available remote Dwelling selection by applying fuzzy game theory
EN
The paper describes model of dwelling selection, using fuzzy games theory. Two types of buildings are under consideration: traditional singe flat dwelling house and loft flat dwelling house. Four alternatives of heating system are taking into account: coal based, gas based, biomass based, and combined biomass and gas based systems. Alternatives are described by a criteria set. Values of the criteria are determined by simulation and according to the statistic. Fuzzy games are applied for decision aiding. The problem solution result shows that fuzzy matrix games theory is appropriate for such purposes.
PL
W artykule przedstawiono model służący do oceny mieszkania. Do badań przyjęto dwa typy budynków: tradycyjny budynek mieszkalny z kawalerkami oraz budynek mieszkalny z "loftami". Pod uwagę wzięto cztery alternatywne systemy ogrzewania budynków: węglem, gazem, biomasą oraz system mieszanym, tj. biomasą i gazem. Alternatywne systemy są opisane przez zbiór kryteriów. Wartości kryteriów zostały wyznaczone metodą symulacji oraz przy zastosowaniu metod statystycznych. Do wspomagania procesu decyzyjnego zastosowano rozmytą teorię gier. Wynik rozwiązania postawionego w artykule problemu wskazuje, że rozmyta macierz teorii gier jest odpowiednia do takich celów.
EN
The paper presents the process of selection the foundation instalment alternative, which have to be the most appropriate and safe for building which stands on the aquiferous soil. The selection is based on a set of criteria: costs of instalment, instalment duration, the complexity of decisions, advantages and disadvantages of decisions, transferability and maintainability of installed foundation system, past experience implementing the approved decisions, etc. The criteria for evaluation and their importance are selected by taking into consideration the interests and goals of the client as well as factors that influence the efficiency of construction process and safety of future building. The solution of problem was made by applying Additive Ratio ASsessment (ARAS) method. The proposed technique could further be applied to substantiate the selection of effective alternative of structures, technologies, investments and etc.
PL
Artykuł prezentuje proces wyboru alternatywnego usadowienia fundamentu najbardziej odpowiedniego i bezpiecznego dla budynku stojącego na gruncie wodonośnym. Wybór bazuje na zestawie kryteriów: koszt usadowienia, okres usadowienia, stopień skomplikowania decyzji, zalety i wady decyzji, możliwość przenoszenia i konserwacji usadowionego systemu fundamentu, doświadczenie z wdrożenie przyjętych decyzji, itd. Kryteria oceny i ich znaczenie są wybierane z uwzględnieniem interesów i celów klienta oraz czynników wpływających na efektywność procesu budowlanego i bezpieczeństwa budynku. Rozwiązania problemu dokonano przy zastosowaniu metody ARAS. Proponowana metoda może w przyszłości być zastosowana do uzasadnienia wyboru struktury, technologii, inwestycji itd.
EN
Decision making with multiple criteria requires preferences elicited from the decision maker to determine a solution set. Models of preferences, that follow upon the concept of nondominated solutions introduced by Yu (1974), are presented and compared within a unified framework of cones. Polyhedral and nonpolyhedral, convex and nonconvex, translated, and variable cones are used to model different types of preferences. Common mathematical properties of the preferences are discussed. The impact of using these preferences in decision making is emphasized.
EN
Within the frame of E-Business and Internet literature, Web-based decision support systems have drawn the attention of researchers from a wide spectrum of disciplines. Web-Based Decision Support Systems can play a critical role, in ethical and trust decision situations. A variety of questions have been analyzed to determine which ethical and trust problems can be supported online. The results of this study provide useful insight for creating one's own Ethical Web-Based Decision Support System (EDSS). Application of EDSS allows to determine the strengths and weaknesses of trust and ethical alternatives. Calculations were made to find out by what degree one alternative is better than another and the reasons disclosed why it is namely so. Landmarks are set for an increase in the efficiency of ethical and trust alternative. In order to demonstrate the application of the EDSS a practical example is considered below.
PL
Większość sytuacji etycznych w życiu powtarza się tysiące razy. Dlatego jest rozsądne stworzenie bazy danych typowych sytuacji, ich rozwiązywania (warianty, system kryteriów określających je, znaczenie i wartość) oraz typowych zasad podejmowania decyzji. W razie potrzeby taka baza danych może być wykorzystywana do rozwiązywania problemów praktycznych. Na podstawie analizy modeli i metod oraz metod analizy wielowymiarowej opracowanych przez autorów powstał internatowy system wspierania decyzji etycznych (WDE). System WDE składa się z bazy danych oraz systemu zarządzania bazą danych, bazy modeli oraz systemu zarządzania bazą modeli, interfejsu użytkownika. Z wykorzystaniem teorii etyki, przepisów prawa (konstytucja, standardy prawne), kodeksów etyki zawodowej, moralnych standardów indywidualnych i społecznych, dokumentów i zasad wewnętrznych organizacji, przygotowywanych raportów, metod eksperymentalnych i innych jest tworzona baza danych WDE. W bazie danych WDE warianty decyzji etycznych są opisywane za pomocą form ilościowych (system kryteriów, jednostki miary, znaczenia i pierwotne wartości) oraz koncepcyjnych (tekst, schematy, grafiki, diagramy, wykresy i wideokasety). Ponieważ warianty decyzji etycznych często są oceniane z różnych pozycji, wśród modeli systemu WDE istnieją modele (oparte na metodach opracowanych przez autorów) pomagające w kompleksowej analizie tych wariantów i w podjęciu decyzji.
EN
Most of multiple criteria scheduling problems are NP-hard, so that exact procedures can only solve small problems and with two criteria. The complexity and the diversity of multiple criteria scheduling problems resulted in many alternative approaches to solve them. Exact and approximate procedures proposed in the literature are mainly dedicated to the problem to be solved and their performance depends on the problem data, on the criteria optimized, and are generally difficult to implement. We propose in this paper a Tabu Search approach to multiple criteria scheduling problems. The proposed procedure is a general flexible method, able to solve hard multiple criteria scheduling problems, easy to implement, and providing a set of potential efficient schedules. The criteria are any combination chosen from (C[sub max],T[sub max], L, N[sub T] and F).
17
Content available remote Location problems from the multiple criteria perspective: efficient solutions
EN
Location problems can be considered as multiple criteria models where for each client (spatial unit) there is defined an individual objective function, which measures quality of a location pattern with respect to the client satisfaction (e.g. it expresses the distance or travel time between the client and the assigned facility). The individual objective functions are usually conflicting when optimized. Therefore, the decision maker or planner needs to select some compromise solution for implementation. In this paper we analyze various approaches to discrete multiple facility location problems (various solution concepts) from the perspective of the multiple criteria models. We focus our analysis on two aspects of the solution concepts: if a generated solution is an efficient (Pareto-optimal) solution to the multiple criteria problem, and if the solution concept provides some control parameters allowing the decision maker to select every efficient solution of the multiple criteria problem. That means, we analyze if a solution concept complies with the optimality principle for the multiple criteria model as well as if it allows to take into account various preferences of the decision maker.
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