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Tytuł:
Solving multi-objective production scheduling problems with Tabu Search
Autorzy:
Loukil, T.
Teghem, J.
Fortemps, P.
Powiązania:
https://bibliotekanauki.pl/articles/206202.pdf
Data publikacji:
2000
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
multiple criteria
scheduling
tabu search
Opis:
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).
Źródło:
Control and Cybernetics; 2000, 29, 3; 819-828
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Multiple criteria ranking decision support
Autorzy:
Chmielewski, M.
Kaliszewski, I.
Powiązania:
https://bibliotekanauki.pl/articles/206087.pdf
Data publikacji:
2011
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
multiple criteria ranking
interactive multiple criteria decision making
holistic preferences
atomistic preferences
model building
Opis:
We propose a methodology to support decisions on how to construct rankings of objects which account for decision makers' preferences. As it is not always so that objects to be ranked are known upfront, the methodology is focused on constructing ranking algorithms rather than rankings themselves. The methodology builds on Multiple Criteria Decision Making paradigms. To operationalize it we provide a consistent interactive framework which allows the decision maker to express his preferences with respect to objects directly, with respect to the criteria selection process (multiple criteria model building), and with respect to attributes resulting from the selected criteria. The methodology is illustrated by a numerical example of municipality rankings.
Źródło:
Control and Cybernetics; 2011, 40, 4; 1161-1187
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Application of a quantitative multiple criteria decision making (MCDM-1) approach to the analysis of investments in construction
Autorzy:
Ustinovichius, L.
Zavadskas, E. K.
Podvezko, V.
Powiązania:
https://bibliotekanauki.pl/articles/969718.pdf
Data publikacji:
2007
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
decision-making
quantitative methods
weights of criteria
multiple criteria evaluation
estimation of efficiency of investments
Opis:
The paper considers major principles of methods based on quantitative measurements. The problem of construction investments is of paramount importance because they determine the potential of construction and the structure of expenses. The calculation of investments is an expensive tool of enterprise management used in planning the investments. It can be perceived as the harmonization and evaluation of the models for investment decision-making. Methods based on a single criterion can hardly be used in solving the problems associated with sophisticated technological or marketing systems. It is a multiple attribute decision method, taking into consideration major efficiency criteria, that enables the effective methods of solving complicated problems. When the quantitative criteria are precisely defined, the developed quantitative multiple criteria decision making (MCDM-1) method can be successfully applied. The present paper is devoted to the analysis of the algorithm and methods of application of the suggested technique.
Źródło:
Control and Cybernetics; 2007, 36, 1; 251-268
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:
On the use of data analysis and OR modelling in MCDM problems: a case analysis – a rejoinder to the paper by Sousa Ribeiro et al.
Autorzy:
Owsiński, Jan W.
Powiązania:
https://bibliotekanauki.pl/articles/2183471.pdf
Data publikacji:
2021
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
location problem
variables
criteria
objectives
modelling
Opis:
Taking as an example the very interesting and moti vating paper by Sousa Ribeiro et al. (2021) an attempt is made of providing a couple of insights into the decision making process from the point of view of the potentially helpful aspects of data analysis and OR-related modelling. These are just hints and suggestions, meant primarily to emphasise the multifaceted character of the decision making situations and processes, especially when concerning more complex issues. While the course of the procedure proposed and exemplified in Sousa Ribeiro et al. (2021) is treated as fully correctly and successfully carried out to the end, we wish to show the potential use of information, constituting in a sense a “by-product” of such a procedure, or, actually, of any similar procedure, aimed at supporting decision making.
Źródło:
Control and Cybernetics; 2021, 50, 3; 413--422
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Multicriteria models for fair resource allocation
Autorzy:
Ogryczak, W.
Powiązania:
https://bibliotekanauki.pl/articles/970408.pdf
Data publikacji:
2007
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
multiple criteria optimization
efficiency
fairness
equity
inequality measures
Opis:
Resource allocation problems are concerned with the allocation of limited resources among competing activities so as to achieve the best performances. However, in systems which serve many users there is a need to respect some fairness rules while looking for the overall efficiency. The so-called Max-Min Fairness is widely used to meet these goals. However, allocating the resource to optimize the worst performance may cause dramatic worsening of the overall system efficiency. Therefore, several other fair allocation schemes are being considered and analyzed. In this paper we show how the concepts of multiple criteria equitable optimization can effectively be used to generate various fair and efficient allocation schemes. First, we demonstrate how the scalar inequality measures can be consistently used in bicriteria models to search for fair and efficient allocations. Further, two alternative multiple criteria models equivalent to equitable optimization are introduced, thus allowing to generate a larger variety of fair and efficient resource allocation schemes.
Źródło:
Control and Cybernetics; 2007, 36, 2; 303-332
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Generation of reducts and rules in multi-attribute and multi-criteria classification
Autorzy:
Susmaga, R.
Słowiński, R.
Greco, S.
Matarazzo, B.
Powiązania:
https://bibliotekanauki.pl/articles/205913.pdf
Data publikacji:
2000
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
decision rules
dominance relation
intelligent information systems
multi-attribute and multi-criteria classification
reducts of attributes and criteria
rough sets theory
Opis:
The paper addresses the problem of analysing information tables which contain objects described by both attributes and criteria, i.e. attributes with preference-ordered scales. The objects contained in those tables, representing exemplary decisions made by a decision maker or a domain expert, are usually classified into one of several classes that are also often preference-ordered. Analysis of such data using the classic rough set methodology may produce improper results, as the original rough set approach is not able to discover inconsistencies originating from consideration of typical criteria, like e.g. product quality, market share or debt ratio. The paper presents the framework for the analysis of both attributes and criteria and a very promising algorithm for generating reducts. The algorithm presented is evaluated in an experiment with real-life data sets and its results are compared to those by two other reduct generating algorithms.
Źródło:
Control and Cybernetics; 2000, 29, 4; 969-988
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:
Objectives of an enterprise. Bi-criteria analysis and negotiation problems
Autorzy:
Gadomski, Jan
Kruś, Lech
Powiązania:
https://bibliotekanauki.pl/articles/2183431.pdf
Data publikacji:
2021
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
economic modelling
production function
cost function
bi-criteria optimization
negotiations
Opis:
A decision-making process is considered for a firm, in which two coexisting groups of interests pursue different goals. An original model based on a non-neoclassical production function is proposed. The function satisfies the conditions formulated by R. Frisch, which makes it possible to investigate firms operating in the environment far from the perfect competition and pursuing goals other than profit maximization. A two-criteria optimization problem is formulated with the two criteria representing the goals of the groups: maximization of profit and maximization of income generated by the firm with respect to capital and labor. The problem is considered in two variants of the product market, namely the perfect and the imperfect competition. Solutions of the problem are analyzed including the derived Pareto sets. The importance of knowledge about the Pareto set in negotiations between the groups of interests in the firm is illustrated and discussed.
Źródło:
Control and Cybernetics; 2021, 50, 1; 169--193
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:
Hadamard incomplete sensitivity and shape optimization
Autorzy:
Mohammadi, B.
Powiązania:
https://bibliotekanauki.pl/articles/969892.pdf
Data publikacji:
2010
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
Hadamard boundary condition
shape optimization
incomplete sensitivity
multi-criteria
unsteady
turbomachinery
Opis:
The paper discusses incomplete sensitivity evaluations for shape optimization problems. It also shows how reduced order models can be introduced to extend the validity domain of the approach.
Źródło:
Control and Cybernetics; 2010, 39, 3; 615-626
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Nonessential objective functions in linear multiobjective optimization problems
Autorzy:
Malinowska, A. B.
Powiązania:
https://bibliotekanauki.pl/articles/970000.pdf
Data publikacji:
2006
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
multiple criteria decision making
multiobjective (vector) optimization
efficient solutions
nonessential objectives
Opis:
In multiobjective (vector) optimization problems, among the given objective functions there exist some, which do not influence the set of efficient solutions. These objective functions are said to be nonessential. In this paper we present a new method to decide if a given linear objective function is nonessential or not.
Źródło:
Control and Cybernetics; 2006, 35, 4; 873-880
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Axiomatization of utility, outranking and decision rule preference models for multiple-criteria classification problems under partial inconsistency with the dominance principle
Aksjomatyka modeli użyteczności, przewyższania i reguł decyzyjnych w zadaniach wielokryterialnej optymalizacji w warunkach częściowej niespójności z zasadą dominacji
Autorzy:
Słowiński, R.
Greco, S.
Matarazzo, B.
Powiązania:
https://bibliotekanauki.pl/articles/205853.pdf
Data publikacji:
2002
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
aksjomatyka
klasyfikacja wielokryterialna
kryteria porządkowe
modelowanie preferencji
pomiary jednoczesne
reguły decyzyjne
zbiory przybliżone
axiomatization
conjoint measurement
decision rules
multiple criteria classification
ordinal criteria
preference modeling
rough sets
Opis:
Multiple-criteria classification (sorting) problem concerns assignment of actions (objects) to some pre-defined and preference-ordered decision classes. The actions are described by a finite set of criteria, i.e. attributes, with preference-ordered scales. To perform the classification, criteria have to be aggregated into a preference model which can be: utility (discriminant) function, or outranking relation, or "if..., then..." decision rules. Decision rules involve partial profiles on subsets of criteria and dominance relation on these profiles. A challenging problem in multiple-criteria decision making is the aggregation of criteria with ordinal scales. We show that the decision rule model we propose has advantages over a general utility function, over the integral of Sugeno, conceived for ordinal criteria, and over an outranking relation. This is shown by basic axioms characterizing these models. Moreover, we consider a more general decision rule model based on the rough set theory. The advantage of the rough set approach compared to competitive methodologies is the possibility of handling partially inconsistent data that are often encountered in preferential information, due to hesitation of decision makers, unstable character of their preferences, imprecise or incomplete knowledge and the like. We show that these inconsistencies can be represented in a meaningful way by "if..., then..." decision rules induced from rough approximations. The theoretical results reported in this paper show that the decision rule model is the most general aggregation model among all the considered models.
Wielokryterialne zadania klasyfikacji (sortowania) dotyczą przypisania działan (obiektów) pewnym z góry określonym i uporządkowanym wzgl(c)dem preferencji klasom. Działania są opisane przez skończony zbiór kryteriów, tj. atrybutów o skalach uporządkowanych według preferencji. Aby dokonać klasyfikacji, kryteria muszą zostać zagregowane do modelu preferencji, którym może być: funkcja użyteczności (dyskryminująca), bąd" relacja przewyższania, bąd" reguła decyzyjna typu "jeśli..., to...". Reguły decyzyjne oparte są na cz(c)ściowych profilach na podzbiorach kryteriów i relacji dominacji na tych profilach. Wyzwaniem w wielokryterialnym podejmowaniu decyzji jest agregacja kryteriów o skalach porządkowych. Pokazujemy w artykule, że model reguł decyzyjnych, zaproponowany przez nas, jest korzystniejszy niż ogólna postać funkcji użyteczności, niż całka Sugeno zaproponowana dla kryteriów porządkowych, i niż relacja przewyższania. Pokazano to przy pomocy podstawowych aksjomatów charakteryzujących rozważane modele. Ponadto, rozważamy ogólniejszy model reguł decyzyjnych, oparty na teorii zbiorów przybliżonych. Korzyścią z zastosowania zbiorów przybliżonych w porównaniu do innych podejść jest możliwość uwzgl(c)dniania cz(c)ściowo niespójnych danych, jakie cz(c)sto spotyka si(c) informacji o preferencjach, w związku z wahaniami decydentów, niestabilnością ich preferencji, niedokładną wiedzą, itp. Pokazujemy, że takie niespójności mogą być reprezentowane w sposób sensowny poprzez reguły decyzyjne typu "jeśli..., to...", wyprowadzone z ocen dokonanych przy pomocy zbiorów przybliżonych. Wyniki teoretyczne przedstawione w pracy pokazują, że model reguł decyzyjnych jest najogólniejszym modelem agregacji spośrod wszystkich rozważanych modeli.
Źródło:
Control and Cybernetics; 2002, 31, 4; 1005-1035
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Post-optimal analysis for multicriteria integer linear programming problem with parametric optimality
Autorzy:
Emelichev, Vladimir
Nikulin, Yury
Powiązania:
https://bibliotekanauki.pl/articles/2049980.pdf
Data publikacji:
2020
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
post-optimal analysis
multiple criteria
quasistability radius
integer linear programming
parametric optimality
Opis:
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.
Źródło:
Control and Cybernetics; 2020, 49, 2; 163-178
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Hamiltonian trajectories and saddle points in mathematical economics
Autorzy:
Rockafellar, R. T.
Powiązania:
https://bibliotekanauki.pl/articles/970735.pdf
Data publikacji:
2009
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
infinite horizon optimal control
convex Lagrange problems
Hamiltonian saddle points
overtaking criteria
Ramsey's problem
economic growth
Opis:
Infinite-horizon problems of kinds that arise in macroeconomic applications present a challenge in optimal control which has only partially been met. Results from the theory of convex problems of Lagrange can be utilized, to some extent, the most interesting feature being that in these problems the analysis revolves about a rest point of the Hamiltonian, which is at the same time a saddle point of the Hamiltonian in the minimax sense. The prospect is that in this situation the Hamiltonian dynamical system exhibits saddle point behavior in the differential equation sense as well. Some results are provided in this direction and coordinated with notions of asymptotic optimization, which mathematical economists have worked with.
Źródło:
Control and Cybernetics; 2009, 38, 4B; 1575-1588
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Wyświetlanie 1-15 z 24

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