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Wyświetlanie 1-15 z 23
Tytuł:
A remark on sensitivity in linear programming and Gale-Samuelson nonsubstitution theorem
Autorzy:
De Giuli, M. E.
Giorgi, G.
Powiązania:
https://bibliotekanauki.pl/articles/969906.pdf
Data publikacji:
2010
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
linear programming
sensitivity analysis
nonsubstitution theorem
Opis:
The main purpose of this paper is to show that David Gale's result (1960, Lemma 9.3 on sensitivity in linear programming) is not generally valid. In this lemma, additional assumptions, that are instead required, are not made. We give some correct versions of the above mentioned lemma, and with these an elementary proof of the Gale-Samuelson nonsubstitution theorem.
Źródło:
Control and Cybernetics; 2010, 39, 3; 827-838
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Constructing improvement plan for inputs through dialogue with DM about DEA-Efficiency for DMUs
Autorzy:
Uemura, Y.
Powiązania:
https://bibliotekanauki.pl/articles/206812.pdf
Data publikacji:
1999
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
evaluation efficiency
partial improvement plan
sensitivity analysis
Opis:
Evaluation of efficiency of the DMUs (Decision Making Units) in a company is a very important problem. Thus, the studies of evaluation of efficiency are being actively carried out on the basis of the production functions, for example Cobb-Douglas production function and fuzzy loglinear production function (fuzzy Cobb-Douglas model). Recently, DEA (Data Envelopment Analysis) was applied to evaluation of efficiency, in the sense of benchmarking evaluation. After having evaluated DMUs by DEA, we obtain the improvement plan for every input in the inefficient DMUs. Though we many not be able to decrease inputs at one time according to the DEA plan, it is natural to construct some phased improvement plans for decreasing the inputs. First, we propose to support the construction of some phased improvement plans by the sensitivity analysis for the evaluated efficiency by applicatiion of definite limits to the decrease of inputs. Second, we evaluate this method by applying it to the case of bank data.
Źródło:
Control and Cybernetics; 1999, 28, 1; 133-139
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Fuzzy global sensitivity analysis of fuzzy net present value
Autorzy:
Sari, I. D.
Kuchta, D.
Powiązania:
https://bibliotekanauki.pl/articles/206340.pdf
Data publikacji:
2012
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
fuzzy sensitivity analysis
fuzzy net present value
Opis:
The cash flows of an investment project are influenced by several factors. All the factors influencing fuzzy net present value of a project should be taken into account, together with their variability, in order to analyze the whole project, and to make the best decisions during the project’s life. In this paper a fuzzy global sensitivity analysis method is proposed for fuzzy net present value to determine the influences of the factors on the worth of an investment project. The results of the proposed method for an application are also interpreted.
Źródło:
Control and Cybernetics; 2012, 41, 2; 481-496
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Optimal heat distributions by a gradient-based shape optimization method
Autorzy:
Belhachmi, Z.
Meftahi, B.
Meftahi, H.
Powiązania:
https://bibliotekanauki.pl/articles/206300.pdf
Data publikacji:
2018
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
heat conduction
shape optimization
sensitivity analysis
minimax differentiability
Opis:
In this paper, we consider the problem of locating coated inclusions in a 2D dimensional conductor material in order to obtain a suitable thermal environment. The mathematical model is described by elliptic partial differential equation with linear boundary condition, including heat transfer coefficient. A shape optimization problem is formulated by introducing a cost functional to solve the problem under consideration. The shape sensitivity analysis is rigorously performed for the problem by means of a Lagrangian formulation. The optimization problem is solved by means of gradient-based strategy and numerical experiments are carried out to demonstrate the feasibility of the approach.
Źródło:
Control and Cybernetics; 2018, 47, 1; 33-53
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On the robustness of optimal solutions for combinatorial optimization problems
Autorzy:
Libura, M.
Powiązania:
https://bibliotekanauki.pl/articles/969645.pdf
Data publikacji:
2009
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
robustness analysis
sensitivity analysis
combinatorial optimization
accuracy function
robustness radius
Opis:
We consider the so-called generic combinatorial optimization problem, where the set of feasible solutions is some family of subsets of a finite ground set with specified positive initial weights of elements, and the objective function represents the total weight of elements of a feasible solution. We assume that the weights of all elements may be perturbed simultaneously and independently up to a given percentage of their initial values. A feasible solution which minimizes the worst-case relative regret, is called a robust solution. The maximum percentage level of perturbations, for which an initially optimal solution remains robust, is called the robustness radius of this solution. In this paper we study the robustness aspect of initially optimal solutions and provide lower bounds for their robustness radii.
Źródło:
Control and Cybernetics; 2009, 38, 3; 671-685
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Generalized J-integral method for sensitivity analysis of static shape design
Autorzy:
Ohtsuka, K.
Chludnev, A.
Powiązania:
https://bibliotekanauki.pl/articles/205915.pdf
Data publikacji:
2000
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
derivative of energy functional
domain perturbation
GJ-integral
sensitivity analysis
Opis:
The paper analyses the concept of GJ-integral. This concept is linked with the derivative of the energy functional with respect to a general perturbation of the domain and it is useful in studying many problems of sensitivity analysis. Applications of the GJ-integral method to numerous linear and nonlinear problems are indicated.
Źródło:
Control and Cybernetics; 2000, 29, 2; 513-533
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Contingent epiderivative and its applications to set-valued optimization
Autorzy:
Bednarczuk, E.
Song, W.
Powiązania:
https://bibliotekanauki.pl/articles/206559.pdf
Data publikacji:
1998
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
optymalizacja wektorowa
contingent epiderivative
optimality conditions
sensitivity analysis
vector optimization
Opis:
In the present paper we give an alternative definition of contingent epiderivative for a set-valued map. We use our concept of contingent epiderivative to formulate necessary and/ or sufficient optimality conditions for a set-valued optimization problem and to study sensivity of a family of parametrized vector optimization problems.
Źródło:
Control and Cybernetics; 1998, 27, 3; 375-386
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:
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:
Sensitivity analysis for optimal control of problems governed by semilinear parabolic equations
Autorzy:
Bergounioux, M.
Merabet, N.
Powiązania:
https://bibliotekanauki.pl/articles/206854.pdf
Data publikacji:
2000
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
analiza czułości
sterowanie optymalne
optimal control
second order optimality conditions
sensitivity analysis
Opis:
We investigate an optimal control problem governed by a semilinear parabolic equation with perturbed initial data. We perform some sensitivity analysis: under polyhedricity assumption and second order optimality conditions we derive second order expansion of the optimal value function.
Źródło:
Control and Cybernetics; 2000, 29, 4; 861-886
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Shape sensitivity analysis of eigenvalues revisited
Autorzy:
Nazarov, S. A.
Sokolowski, J.
Powiązania:
https://bibliotekanauki.pl/articles/970311.pdf
Data publikacji:
2008
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
spectral problem
singular perturbation
eigenvalues of Laplacian
shape sensitivity analysis
topology optimization
Opis:
The paper can be considered as a complement to previous papers of the authors. An insight into applied asymptotic analysis of boundary value problems in singularly perturbed domains is presented. As a result, the asymptotic expansions of eigenvalues are obtained and discussed in terms of integral attributes of the geometrical perturbations including the virtual mass tensor, polarization tensor etc. The results are presented in such a way that can be easily employed in numerical methods for shape optimization and inverse problems.
Źródło:
Control and Cybernetics; 2008, 37, 4; 999-1012
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Sensitivity analysis for state constrained optimal control problems
Autorzy:
Malanowski, K.
Powiązania:
https://bibliotekanauki.pl/articles/206110.pdf
Data publikacji:
2011
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
sensitivity analysis
cone-constrained optimization problems
nonlinear optimal control
first order state constraints
Opis:
A sensitivity result for cone-constrained optimization problem in abstract Hilbert spaces is obtained, using a slight modification of Haraux's theorem on differentiability of the metric projection onto polyhedric sets. This result is applied to sensitivity analysis for nonlinear optimal control problems subject to first order state constraints.
Źródło:
Control and Cybernetics; 2011, 40, 4; 1043-1058
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Second order sufficient conditions and sensitivity analysis for optimal multiprocess control problems
Autorzy:
Augustin, D.
Maurer, H.
Powiązania:
https://bibliotekanauki.pl/articles/206723.pdf
Data publikacji:
2000
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
multiprocess control systems
Riccati equations
robot control
second order sufficient conditions
sensitivity analysis
Opis:
Second order sufficient optimality conditions (SSC) are derived for optimal multiprocess control problems. For that purpose the multiprocess control problem is transformed into a single stage control problem with augmented state variables which comprise the state variables of all individual stages as well as the switching times as choice variables. This toansformation allows to apply the known SSC for single stage control problems. A numerical test of SSC involves the solution of an associated Riccati equation together with boundary conditions adapted to the multiprocess. Sensitivity analysis of parametric multiprocess problems can be based on SSC. A numerical example of the optimal two-stage control of a robot illustrates both SSC and sensitivity analysis.
Źródło:
Control and Cybernetics; 2000, 29, 1; 11-31
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A characterization of stability and sensitivity properties for state-constrained optimal control
Autorzy:
Malanowski, K.
Powiązania:
https://bibliotekanauki.pl/articles/970245.pdf
Data publikacji:
2007
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
sterowanie optymalne
optimal control
nonlinear ODEs
state constraints
parametric problems
stability and sensitivity analysis
Opis:
In a series of the recent papers of the author, it was shown that the solutions and Lagrange multipliers of state-constrained optimal control problems are locally Lipschitz continuous and directionally differentiable functions of the parameter, under usual constraint qualifications and weakened second order conditions. In this paper, it is shown that those conditions are not only sufficient, but also necessary. Thus, they consitute a characterization of Lipschitz stability and sensitivity properties for state-constrained optimal control problems.
Źródło:
Control and Cybernetics; 2007, 36, 3; 711-726
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Calculus and applications of Studniarski’s derivatives to sensitivity and implicit function theorems
Autorzy:
Anh, N. L. H.
Khanh, P. Q.
Powiązania:
https://bibliotekanauki.pl/articles/205490.pdf
Data publikacji:
2014
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
Studniarski’s derivatives
sum rule
chain rule
product rule
quotient rule
sensitivity analysis
implicit multifunction theorems
Opis:
We first discuss basic calculus rules for Studniarski’s derivatives. Then, we apply these derivatives to sensitivity analysis of solutions to inclusions and to computing the derivative of implicit multifunctions.
Źródło:
Control and Cybernetics; 2014, 43, 1; 33-57
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
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