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Wyszukujesz frazę "dynamic problem" wg kryterium: Temat


Wyświetlanie 1-4 z 4
Tytuł:
Tabu search: global intensification using dynamic programming
Autorzy:
Wilbaut, C.
Hanafi, S.
Fréville, A.
Balev, S.
Powiązania:
https://bibliotekanauki.pl/articles/970871.pdf
Data publikacji:
2006
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
programowanie dynamiczne
tabu search
dynamic programming
global intensification
multidimensional 0-1 knapsack problem
Opis:
Tabu search has proven highly successful in solving hard combinatorial optimization problems. In this paper, we propose a hybrid method that combines adaptive memory, sparse dynamic programming, and reduction techniques to reduce and explore the search space. Our approach starts with a bi-partition of the variables, involving a small core problem, which never exceeds 15 variables, solved using the "forward" phase of the dynamic programming procedure. Then, the remaining subspace is explored using tabu search, and each partial solution is completed with the information stored during the forward phase of dynamic programming. Our approach can be seen as a global intensification mechanism, since at each iteration, the move evaluations involve solving a reduced problem implicitly. The proposed specialized tabu search approach was tested in the context of the multidimensional 0-1 knapsack problem. Our approach was compared to ILOG's commercial product CPLEX and to the corresponding "pure" tabu search (i.e., without a core problem) for various sets of test problems available in OR-libraries. The results are encouraging. In particular, this enhances the robustness of the approach, given that it performs better than the corresponding pure tabu search most of the time. Moreover, our approach compares well with CPLEX when the number of variables is large; it is able to provide elite feasible solutions in a very reasonable amount of computational time.
Źródło:
Control and Cybernetics; 2006, 35, 3; 579-598
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
DP2PN2Solver: A flexible dynamic programming solver software tool
Autorzy:
Mauch, H.
Powiązania:
https://bibliotekanauki.pl/articles/970851.pdf
Data publikacji:
2006
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
sieć Bellmana
model sieci Petri
programowanie dynamiczne
Bellman net
dynamic programming
matrix chain multiplication problem
optimization software
Petri net model
traveling salesman problem
Opis:
Dynamic programming (DP) is a very general optimization technique, which can be applied to numerous decision problems that typically require a sequence of decisions to be made. The solver software DP2PN2Solver presented in this paper is a general, flexible, and expandable software tool that solves DP problems. It consists of modules on two levels. A level one module takes the specification of a discrete DP problem instance as input and produces an intermediate Petri net (PN) representation called Bellman net (Lew, 2002; Lew, Mauch, 2003, 2004) as output - a middle layer, which concisely captures all the essential elements of a DP problem in a standardized and mathematically precise fashion. The optimal solution for the problem instance is computed by an "executable" code (e.g. Java, Spreadsheet, etc.) derived by a level two module from the Bellman net representation. DP2PN2Solver's unique potential lies in its Bellman net representation. In theory, a PN's intrinsic concurrency allows to distribute the computational load encountered when solving a single DP problem instance to several computational units.
Źródło:
Control and Cybernetics; 2006, 35, 3; 687-702
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The corridor method: a dynamic programming inspired metaheuristic
Autorzy:
Sniedovich, M.
Viß, S.
Powiązania:
https://bibliotekanauki.pl/articles/970877.pdf
Data publikacji:
2006
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
programowanie dynamiczne
metaheuristics
dynamic programming
curse of dimensionality
very large neighborhoods
corridor method
global optimization
move-based
method-based
traveling salesman problem
Opis:
This paper presents a dynamic programming inspired metaheuristic called Corridor Method. It can be classified as a method-based iterated local search in that it deploys method-based neighborhoods. By this we mean that the search for a new candidate solution is carried out by a fully-fledged optimization method and generates a global optimal solution over the neighborhood. The neighborhoods are thus constructed to be suitable domains for the fully-fledged optimization method used. Typically, these neighborhoods are obtained by the imposition of exogenous constraints on the decision space of the target problem and therefore must be compatible with the optimization method used to search these neighborhoods. This is in sharp contrast to traditional metaheuristics where neighborhoods are move-based, that is, they are generated by subjecting the candidate solution to small changes called moves. While conceptually this method-based paradigm applies to any optimization method, in practice it is best suited to support optimization methods such as dynamic programming, where it is easy to control the size of a problem, hence the complexity of algorithms, by means of exogenous constraints. The essential features of the Corridor Method are illustrated by a number of examples, including the traveling salesman problem, where exponentially large neighborhoods are searched by a linear time/space dynamic programming algorithm.
Źródło:
Control and Cybernetics; 2006, 35, 3; 551-578
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A Method for Constructing ε-value Functions for The Bolza Problem of Optimal Control
Autorzy:
Pustelnik, J.
Powiązania:
https://bibliotekanauki.pl/articles/911140.pdf
Data publikacji:
2005
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
optymalizacja nieliniowa
sterowanie optymalne
równanie Hamiltona-Jacobiego
programowanie dynamiczne
wartość funkcji
nonlinear optimization
Bolza problem
optimal control
Hamilton-Jacobi equation
dynamic programming
value function
approximate minimum
Opis:
The problem considered is that of approximate minimisation of the Bolza problem of optimal control. Starting from Bellman's method of dynamic programming, we define the ε-value function to be an approximation to the value function being a solution to the Hamilton-Jacobi equation. The paper shows an approach that can be used to construct an algorithm for calculating the values of an ε-value function at given points, thus approximating the respective values of the value function.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2005, 15, 2; 177-186
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
    Wyświetlanie 1-4 z 4

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