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Wyszukujesz frazę "Integer programming" wg kryterium: Temat


Wyświetlanie 1-5 z 5
Tytuł:
Bi-objective routing in a dynamic network: An application to maritime logistics
Autorzy:
Maskooki, Alaleh
Nikulin, Yury
Powiązania:
https://bibliotekanauki.pl/articles/2050033.pdf
Data publikacji:
2020
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
travelling salesman
time dependent network
multi-objective optimization
integer programming
Opis:
A bi-objectiveMILP model for optimal routing in a dynamic network with moving targets (nodes) is developed, where all targets are not necessarily visited. Hence, our problem extends the moving target travelling salesman problem. The two objectives aim at finding the sequence of targets visited in a given time horizon by minimizing the total travel distance and maximizing the number of targets visited. Due to a huge number of binary variables, such a problem often becomes intractable in the real life cases. To reduce the computational burden, we introduce a measure of traffic density, based on which we propose a time horizon splitting heuristics. In a real-world case study of greenhouse gas emissions control, using Automatic Identification System data related to the locations of ships navigating in the Gulf of Finland, we evaluate the performance of the proposed method. Different splitting scenarios are analysed numerically. Even in the cases of a moderate scale, the results show that near-efficient values for the two objectives can be obtained by our splitting approach with a drastic decrease in computational time compared to the exact MILP method. A linear value function is introduced to compare the Pareto solutions obtained by different splitting scenarios. Given our results, we expect that the present study is valuable in logistic applications, specifically maritime management services and autonomous navigation.
Źródło:
Control and Cybernetics; 2020, 49, 2; 211--232
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:
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:
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:
Time Petri nets state space reduction using dynamic programming
Autorzy:
Popova-Zeugmann, L.
Powiązania:
https://bibliotekanauki.pl/articles/970865.pdf
Data publikacji:
2006
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
programowanie dynamiczne
time Petri net
dynamic programming
state space reduction
integer state
reachability graph
Opis:
In this paper a parametric description for the state space of an arbitrary TPN is given. An enumerative procedure for reducing the state space is introduced. The reduction is defined as a truncated multistage decision problem and solved recursively. A reachability graph is denned in a discrete way by using the reachable integer-states of the TPN.
Źródło:
Control and Cybernetics; 2006, 35, 3; 721-748
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
    Wyświetlanie 1-5 z 5

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