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Wyszukujesz frazę "min-max regret" wg kryterium: Temat


Wyświetlanie 1-3 z 3
Tytuł:
Scatter Search based algorithms for min-max regret task scheduling problems with interval uncertainty
Autorzy:
Józefczyk, J.
Siepak, M.
Powiązania:
https://bibliotekanauki.pl/articles/206069.pdf
Data publikacji:
2013
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
task scheduling
interval uncertainty
min-max regret
branch and bound
Opis:
Uncertain versions of three task scheduling problems: P║Cmax, F2║Cmax, R║Σ Cj are investigated. Parametric uncertainty is only considered which is represented by intervals. It is assumed that values of execution times of tasks are not a priori given, and they belong to the intervals of known bounds. No distributions additionally characterizing the uncertain parameters are assumed. The regret is used as the basis for a criterion evaluating the uncertainty. In a consequence, min-max regret combinatorial problems are solved. Heuristic algorithms based on Scatter Search are proposed. They are evaluated via computational experiments and compared to a simple middle intervals heuristics and to exact solutions for small instances of the problems considered.
Źródło:
Control and Cybernetics; 2013, 42, 3; 667-698
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Improving logic-based Benders’ algorithms for solving min-max regret problems
Autorzy:
Assunção, Lucas
Santos, Andréa Cynthia
Noronha, Thiago F.
Andrade, Rafael
Powiązania:
https://bibliotekanauki.pl/articles/2099670.pdf
Data publikacji:
2021
Wydawca:
Politechnika Wrocławska. Oficyna Wydawnicza Politechniki Wrocławskiej
Tematy:
robust optimisation
min-max regret problem
Benders’ decomposition
warm-start procedure
Opis:
This paper addresses a class of problems under interval data uncertainty, composed of min-max regret generalisations of classical 0-1 optimisation problems with interval costs. These problems are called robust-hard when their classical counterparts are already NP-hard. The state-of-the-art exact algorithms for interval 0-1 min-max regret problems in general work by solving a corresponding mixed- -integer linear programming formulation in a Benders’ decomposition fashion. Each of the possibly exponentially many Benders’ cuts is separated on the fly by the resolution of an instance of the classical 0-1 optimisation problem counterpart. Since these separation subproblems may be NP-hard, not all of them can be easily modelled using linear programming (LP), unless P equals NP. In this work, we formally describe these algorithms through a logic-based Benders’ decomposition framework and assess the impact of three warm-start procedures. These procedures work by providing promising initial cuts and primal bounds through the resolution of a linearly relaxed model and an LP-based heuristic. Extensive computational experiments in solving two challenging robust-hard problems indicate that these procedures can highly improve the quality of the bounds obtained by the Benders’ framework within a limited execution time. Moreover, the simplicity and effectiveness of these speed-up procedures make them an easily reproducible option when dealing with interval 0-1 min-max regret problems in general, especially the more challenging subclass of robust-hard problems.
Źródło:
Operations Research and Decisions; 2021, 31, 2; 23--57
2081-8858
2391-6060
Pojawia się w:
Operations Research and Decisions
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Evolutionary algorithm for minmax regret flow-shop problem
Autorzy:
Ćwik, M.
Józefczyk, J.
Powiązania:
https://bibliotekanauki.pl/articles/406859.pdf
Data publikacji:
2015
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
manufacturing
flow-shop
interval uncertainty
min-max regret
heuristic algorithms
evolutionary algorithms
simulation
Opis:
The uncertain flow-shop is considered. It is assumed that processing times are not given a priori, but they belong to intervals of known bounds. The absolute regret (regret) is used to evaluate a solution (a schedule) which gives the minmax regret binary optimization problem. The evolutionary heuristic solution algorithm is experimentally compared with a simple middle interval heuristic algorithm for three machines instances. The conducted simulations confirmed the several percent advantage of the evolutionary approach.
Źródło:
Management and Production Engineering Review; 2015, 6, 3; 3-9
2080-8208
2082-1344
Pojawia się w:
Management and Production Engineering Review
Dostawca treści:
Biblioteka Nauki
Artykuł
    Wyświetlanie 1-3 z 3

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