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Wyszukujesz frazę "mixed integer nonlinear programming" wg kryterium: Temat


Wyświetlanie 1-3 z 3
Tytuł:
A mixed integer nonlinear programming formulation for the problem of fitting positive exponential sums to empirical data
Autorzy:
Alvarez, A.
Lara, H.
Powiązania:
https://bibliotekanauki.pl/articles/254845.pdf
Data publikacji:
2011
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
mixed integer nonlinear programming
regularization
nonlinear least squares
Opis:
In this work we deal with exponential sum models coming from data acquisition in the empirical sciences. We present a two step approach based on Tikhonov regularization and combinatorial optimization, to obtain stable parameter estimations, which fit the data. We develop properties of the solutions, based on their optimality conditions. Some numerical experiments are shown to illustrate our approach.
Źródło:
Opuscula Mathematica; 2011, 31, 4; 481-499
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Convergence of finite-dimensional approximations for mixed-integer optimization with differential equations
Autorzy:
Hante, Falk M.
Schmidt, Martin
Powiązania:
https://bibliotekanauki.pl/articles/1839150.pdf
Data publikacji:
2019
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
optimization
differential equations
optimal value function
Lipschitz continuity
parametric optimization
mixed integer nonlinear programming
Opis:
We consider a direct approach to solving the mixedinteger nonlinear optimization problems with constraints depending on initial and terminal conditions of an ordinary differential equation. In order to obtain a finite-dimensional problem, the dynamics are approximated using discretization methods. In the framework of general one-step methods, we provide sufficient conditions for the convergence of this approach in the sense of the corresponding optimal values. The results are obtained by considering the discretized problem as a parametric mixed-integer nonlinear optimization problem in finite dimensions, where the step size for discretization of the dynamics is the parameter. In this setting, we prove the continuity of the optimal value function under a stability assumption for the integer feasible set and second-order conditions from nonlinear optimization. We address the necessity of the conditions on the example of pipe sizing problems for gas networks.
Źródło:
Control and Cybernetics; 2019, 48, 2; 209-226
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A New Mathematical Model for Multisession Exams-Building Assignment
Autorzy:
Ergul, Z.
Kamisli Ozturk, Z.
Powiązania:
https://bibliotekanauki.pl/articles/1031701.pdf
Data publikacji:
2017-09
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
Educational timetabling
Examination-building assignment
Multi objective nonlinear optimization
Mixed Integer Programming
Opis:
The educational timetabling problem has been extensively investigated in timetabling literature. However, the problem of assigning exams to examination buildings has not been studied intensively by researchers. We were inspired by Open and Distance Education System exams of Anadolu University. Anadolu University Open and Distance Education System, which is used by approximately two millions of students and has more than two millions of graduates, is a well-known institution in Turkey. In this study, we propose a multi-objective mathematical model for multisession exam-building assignment problem. Objective functions of this model are to minimize the distance between consecutive session buildings for a given student, to maximize the number of occupants of buildings in every session and to minimize the variety of booklets for building in every session. Mathematical model has been found inadequate because students-examination building assignment in the Anadolu University Open Education system is a large size real life problem. Starting from this point of view, an order-based multi-objective heuristic algorithm is developed to solve this problem. The solutions obtained by the proposed algorithm are compared with the solution obtained by the mathematical modelling and the current state of the existing system.
Źródło:
Acta Physica Polonica A; 2017, 132, 3; 1207-1210
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
    Wyświetlanie 1-3 z 3

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