1996
DOI: 10.1007/3-540-61310-2_16
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The quadratic assignment problem with a monotone anti-monge and a symmetric toeplitz matrix: Easy and hard cases

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Cited by 25 publications
(51 citation statements)
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“…1) Heuristic optimization algorithms overview: Several exact algorithms have been used for solving the QAP problems, like branch and bound, cutting plane and branch and cut algorithms [4]. Although substantial improvements have been done in the development of exact algorithms for the QAP, they remain inefficient to solve problems with size n>20 in reasonable computational time (there are n!…”
Section: Optimized Partitioning Processmentioning
confidence: 99%
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“…1) Heuristic optimization algorithms overview: Several exact algorithms have been used for solving the QAP problems, like branch and bound, cutting plane and branch and cut algorithms [4]. Although substantial improvements have been done in the development of exact algorithms for the QAP, they remain inefficient to solve problems with size n>20 in reasonable computational time (there are n!…”
Section: Optimized Partitioning Processmentioning
confidence: 99%
“…Many research have been devoted to the development of such approaches. We distinguish the following heuristic algorithms [4]: Tabu search (TS), Simulated annealing (SA), Genetic algorithms (GA), Greedy randomized adaptive search procedures (GRASP), Ant systems (AS)...etc. These methods are also known as local search algorithms.…”
Section: Optimized Partitioning Processmentioning
confidence: 99%
See 1 more Smart Citation
“…Данная работа продолжает исследования, связанные с выявлением эффективно разре-шимых случаев КЗН, для которых гарантировано достижение оптимума на подстановке заданного вида [6]- [15]. В дальнейшем такие случаи КЗН называются сильно разреши-мыми.…”
Section: Introductionunclassified
“…Демиденко КЗН. Введенное понятие аддитивно монотонных по строкам и столбцам матриц является естественным обобщением фольклорного понятия монотонности матриц, использованно-го в [6]. Неполными матрицами анти-Монжа названы матрицы, для которых выполняется только часть из противоположных неравенств, определяющих условия Монжа [4].…”
Section: Introductionunclassified