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Wyszukujesz frazę "A-optimality" wg kryterium: Wszystkie pola


Tytuł:
On optimality of the orthogonal block design
Autorzy:
Synówka-Bejenka, Ewa
Zontek, Stefan
Powiązania:
https://bibliotekanauki.pl/articles/729896.pdf
Data publikacji:
2012
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
Experimental design
orthogonal block design
robust estimator
maximum likelihood estimator
A-optimality
D-optimality
Opis:
In the paper a usual block design with treatment effects fixed and block effects random is considered. To compare experimental design the asymptotic covariance matrix of a robust estimator proposed by Bednarski and Zontek (1996) for simultaneous estimation of shift and scale parameters is used. Asymptotically A- and D- optimal block designs in the class of designs with bounded block sizes are characterized.
Źródło:
Discussiones Mathematicae Probability and Statistics; 2012, 32, 1-2; 59-68
1509-9423
Pojawia się w:
Discussiones Mathematicae Probability and Statistics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
CONSTRUCTION METHOD OF A-OPTIMAL CHEMICAL BALANCE WEIGHING DESIGNS
METODA KONSTRUKCJI A-OPTYMALNEGO CHEMICZNEGO UKŁADU WAGOWEGO
Autorzy:
Ceranka, Bronisław
Graczyk, Małgorzata
Powiązania:
https://bibliotekanauki.pl/articles/654517.pdf
Data publikacji:
2015
Wydawca:
Uniwersytet Łódzki. Wydawnictwo Uniwersytetu Łódzkiego
Tematy:
A-optymalność
chemiczny układ wagowy
dwudzielny układ bloków
trójkowy zrównoważony układ bloków
A-optimality
balanced bipartite weighing design
chemical balance weighing design
ternary balanced block design
Opis:
W pracy zaprezentowana została problematyka związana z układami A-optymalnymi. Rozważamy układ eksperymentalny, w którym wyznaczamy nieznane miary p obiektów w n operacjach pomiarowych. Nieznane miary obiektów wyznaczamy w chemicznym układzie wagowym przy założeniu, że błędy pomiarów są nieskorelowane i mają równe wariancje. Podajemy nową metodę konstrukcji macierzy A-optymalnego chemicznego układu wagowego. Do konstrukcji wykorzystano macierze incydencji dwudzielnych układów bloków oraz trójkowych zrównoważonych układów bloków. Podana konstrukcja znacznie poszerza klasę układów, w której możliwe jest wyznaczenie układu A-optymalnego.
Here, we study the design in that we determine unknown measurements of p objects by used of n measurement operations. For that reason we consider the chemical balance weighing design under assumption that the measurement errors are uncorrelated and they have the same variances. We give new construction method of the A-optimal chemical balance weighing design based on the incidence matrices of the balanced bipartite weighing designs and the ternary balanced block designs. The consequence of the proposed method is widening of possible classes in that A-optimal design exists.
Źródło:
Acta Universitatis Lodziensis. Folia Oeconomica; 2015, 3, 314
0208-6018
2353-7663
Pojawia się w:
Acta Universitatis Lodziensis. Folia Oeconomica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A sufficient condition for optimality in nondifferentiable invex programming
Autorzy:
Antczak, T.
Powiązania:
https://bibliotekanauki.pl/articles/205838.pdf
Data publikacji:
2001
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
funkcja półwypukła
uogólniony gradient Clarka
Clarke's generalized gradient
invex function
locally Lipschitz function
semiconvex function
Opis:
In this paper sufficient optimality condition are established for a nonlinear programming problem without differentiability assumption on the data wherein Clarke's generalized gradient is used to define invexity.
Źródło:
Control and Cybernetics; 2001, 30, 4; 431-437
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Construction of constrained experimental designs on finite spaces for a modified Ek-optimality criterion
Autorzy:
Uciński, Dariusz
Powiązania:
https://bibliotekanauki.pl/articles/1838172.pdf
Data publikacji:
2020
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
constrained optimum experimental design
minimal sum of largest eigenvalues
generalized simplicial decomposition
optimal measurement selection
Opis:
A simple computational algorithm is proposed for minimizing sums of largest eigenvalues of the matrix inverse over the set of all convex combinations of a finite number of nonnegative definite matrices subject to additional box constraints on the weights of those combinations. Such problems arise when experimental designs aiming at minimizing sums of largest asymptotic variances of the least-squares estimators are sought and the design region consists of finitely many support points, subject to the additional constraints that the corresponding design weights are to remain within certain limits. The underlying idea is to apply the method of outer approximations for solving the associated convex semi-infinite programming problem, which reduces to solving a sequence of finite min-max problems. A key novelty here is that solutions to the latter are found using generalized simplicial decomposition, which is a recent extension of the classical simplicial decomposition to nondifferentiable optimization. Thereby, the dimensionality of the design problem is drastically reduced. The use of the algorithm is illustrated by an example involving optimal sensor node activation in a large sensor network collecting measurements for parameter estimation of a spatiotemporal process.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2020, 30, 4; 659-677
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A discussion on the optimality of bulk entry queue with differentiated hiatuses
Autorzy:
Vadivukarasi, Manickam
Kalidass, Kaliappan
Powiązania:
https://bibliotekanauki.pl/articles/2175843.pdf
Data publikacji:
2022
Wydawca:
Politechnika Wrocławska. Oficyna Wydawnicza Politechniki Wrocławskiej
Tematy:
differentiated hiatus time
steady state probability
waiting-time distribution
optimization of expenses
Opis:
We consider Markovian differentiated hiatuses queues with bulk entries. With the help of the matrix geometric method, we discuss the stability condition for the existence of the steady-state solution of our model and we obtain the stationary system size by using a probability generating function. The stochastic decomposition form of stationary system size and the waiting time distribution of an arbitrary beneficiary are also analysed. Furthermore, we perform the expense analysis using the particle swarm optimization technique and we obtain the optimality of service rate and hiatus rate. Finally, we study the effects of changes in the parameters on some important performance measures of the system through numerical observations.
Źródło:
Operations Research and Decisions; 2022, 32, 2; 137--150
2081-8858
2391-6060
Pojawia się w:
Operations Research and Decisions
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Sufficient conditions for optimality for a mathematical model of drug treatment with pharmacodynamics
Autorzy:
Leszczynski, M.
Ratajczyk, E.
Ledzewicz, U.
Schättler, H.
Powiązania:
https://bibliotekanauki.pl/articles/255130.pdf
Data publikacji:
2017
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
optimal control
sufficient conditions for optimality
method of characteristics
pharmacodynamic model
Opis:
We consider an optimal control problem for a general mathematical model of drug treatment with a single agent. The control represents the concentration of the agent and its effect (pharmacodynamics) is modelled by a Hill function (i.e., Michaelis-Menten type kinetics). The aim is to minimize a cost functional consisting of a weighted average related to the state of the system (both at the end and during a fixed therapy horizon) and to the total amount of drugs given. The latter is an indirect measure for the side effects of treatment. It is shown that optimal controls are continuous functions of time that change between full or no dose segments with connecting pieces that take values in the interior of the control set. Sufficient conditions for the strong local optimality of an extremal controlled trajectory in terms of the existence of a solution to a piecewise defined Riccati differential equation are given.
Źródło:
Opuscula Mathematica; 2017, 37, 3; 403-419
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Optimality conditions for a class of relaxed quasiconvex minimax problems
Autorzy:
Diem, H. T. H.
Khanh, P. Q.
Powiązania:
https://bibliotekanauki.pl/articles/205919.pdf
Data publikacji:
2014
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
minimax problem
optimality conditions
convex sublevel sets
normal cones
star subdifferentials
adjusted subdiffer- entials
Opis:
A class of minimax problems is considered. We approach it with the techniques of quasiconvex optimization, which includes most important nonsmooth and relaxed convex problems and has been intensively developed. Observing that there have been many contributions to various themes of minimax problems, but surprisingly very few on optimality conditions, the most traditional and developed topic in optimization, we establish both necessary and sufficient conditions for solutions and unique solutions. A main feature of this work is that the involved functions are relaxed quasi- convex in the sense that the sublevel sets need to be convex only at the considered point. We use star subdifferentials, which are slightly bigger than other subdifferentials applied in many existing results for minimization problems, but may be empty or too small in various situations. Hence, when applied to the special case of minimization problems, our results may be more suitable. Many examples are provided to illustrate the applications of the results and also to discuss the imposed assumptions.
Źródło:
Control and Cybernetics; 2014, 43, 2; 249-260
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Optimality conditions and a classification of duality schemes in vector optimization
Autorzy:
El Ghali, B.
Powiązania:
https://bibliotekanauki.pl/articles/205741.pdf
Data publikacji:
2000
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
dwoistość
optymalizacja wektorowa
duality
existential solutions
minimality
vector optimization
Opis:
Vector minimization of a relation F valued in an ordered vector space under a constraint A consists in finding x[0] belongs to A, w[0] belongs to Fx[0] such that w[0] is minimal in FA. To a family of vector minimization problems minimize[x belongs to X] F(x, y), y [belongs to] Y, one associates a Lagrange relation [L(x, [xi], y[0]) = union of sets y belongs to Y(F(x, y)-xi(y)+(y[0]))] where [xi] belongs to an arbitrary class [Xi] of mappings. For this type of problem, there exist several notions of solutions. Some useful characterizations of existential solutions are established and, consequently, some necessary conditions of optimality are derived. One result of intermediate duality is proved with the aid of the scalarization theory. Existence theorems for existential solutions are given and a comparison of several exact duality schemes is established, more precisely in the convex case it is shown that the majority of exact duality schemes can be obtained from one result of S. Dolecki and C. Malivert.
Źródło:
Control and Cybernetics; 2000, 29, 4; 839-860
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Optimality conditions for a set-valued optimization problem in terms of approximations
Autorzy:
Gadhi, Nazih Abderrazzak
Rahou, Fatima Zahra
El Idrissi, Mohammed
Powiązania:
https://bibliotekanauki.pl/articles/1839139.pdf
Data publikacji:
2019
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
approximation
weak Paretominimal point
A-pseudo-convexity
A-quasi-invexity
Opis:
In this paper, we are concerned with a constrained set-valued optimization problem (P). Using support functions, we give necessary optimality conditions in terms of Karush-Kuhn-Tucker (KKT) multipliers and approximations. Under generalized convex- ity, we investigate sufficient optimality conditions. An example illustrating our findings is also given.
Źródło:
Control and Cybernetics; 2019, 48, 3; 439-452
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Sufficient optimality conditions for a bang-singular extremal in the minimum time problem
Autorzy:
Poggiolini, L.
Stefani, G.
Powiązania:
https://bibliotekanauki.pl/articles/969613.pdf
Data publikacji:
2008
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
minimum time
second order sufficient conditions
bang-singular arc
Hamiltonian formalism
Opis:
The paper gives second order sufficient conditions for the strong local optimality of a bang-singular extremal in a minimum time problem. The conditions are given in terms of regularity assumptions on the extremal and of the coercivity of the extended second variation associated to the minimum time problem with fixed end-points on the singular arc. The conditions are close to the necessary ones in the usual sense, namely we require strict inequalities where necessary conditions have mild inequalities.
Źródło:
Control and Cybernetics; 2008, 37, 2; 469-490
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Optimality conditions for a class of optimal boundary control problems with quasilinear elliptic equations
Autorzy:
Casas, E.
Dhamo, V.
Powiązania:
https://bibliotekanauki.pl/articles/206408.pdf
Data publikacji:
2011
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
optimal control
Neumann boundary control
quasi-linear elliptic equation
Pontryagin principle
second order optimality conditions
Opis:
First- and second-order optimality conditions are established for the boundary optimal control of quasilinear elliptic equations with pointwise constraints on the control. The theory is developed for Neumann controls in polygonal domains of dimension two. For the derivation of second-order sufficient optimality conditions, which is the main goal of this paper, the regularity of the solutions to the state equation and its linearization is studied in detail. Moreover, a Pontryagin principle is proved. The main difficulty in the analysis of these problems is the nonmonotone character of the state equation.
Źródło:
Control and Cybernetics; 2011, 40, 2; 457-490
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A conception of optimality for algorithms and its application to the optimal search for a minimum
Pojęcie optymalności algorytmów i jego zastosowanie do poszukiwania minimum
Autorzy:
Adamski, A.
Korytowski, A.
Mitkowski, W.
Powiązania:
https://bibliotekanauki.pl/articles/740642.pdf
Data publikacji:
1977
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Źródło:
Applicationes Mathematicae; 1976-1977, 15, 4; 499-510
1233-7234
Pojawia się w:
Applicationes Mathematicae
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Necessary optimality conditions for a set valued fractional programming problem in terms of contingent epiderivatives
Autorzy:
Gadhi, A. N.
Idrissi, M. El.
Powiązania:
https://bibliotekanauki.pl/articles/205692.pdf
Data publikacji:
2018
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
fractional optimization
multi-objective optimization
cone-convex mapping
optimality conditions
subdifferential
Opis:
In this paper, we are concerned with a multi-objective fractional extremal programming problem. Using the concept of subdifferential of cone-convex set valued mappings, introduced by Baier and Jahn (1999), together with the convex separation principle, we give necessary optimality conditions. An example illustrating the usefulness of our results is also provided.
Źródło:
Control and Cybernetics; 2018, 47, 2; 147-156
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł

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