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Задача о размещении объектов: различия между версиями
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== Открытые вопросы == | == Открытые вопросы == | ||
Основными нерешенными вопросами являются определение точного порога аппроксимируемости для задачи UFL и сокращение разрыва между верхней границей 1,5 [10] и нижней границей 1,463 [20]. Еще одна важная задача заключается в поиске лучших алгоритмов аппроксимации для задачи о k-медианах. В частности, любопытно было бы найти алгоритм аппроксимации для этой задачи с коэффициентом 2 на базе LP-подхода. Такой алгоритм помог бы определить разрыв целостности естественной LP-релаксации этой задачи, поскольку существуют простые примеры, доказывающие, что этот разрыв составляет не менее 2. | |||
== Экспериментальные результаты == | |||
Джейн и др. [28] опубликовали результаты экспериментального сравнения различных прямо-двойственных алгоритмов. Более комплексное экспериментальное исследование нескольких алгоритмов – прямо-двойственных, на базе локального поиска и эвристических – было выполнено Хефером [27]. Коллекцию наборов данных для UFL и некоторых других задач о размещении объектов можно найти в библиотеке OR-library под руководством Бизли [9]. | |||
== См. также == | |||
* [[Задача присваивания]] | |||
* [[Упаковка контейнеров (задача о размещении объектов с жесткими ограничениями на пропускную способность без возможности разделения спроса)]] | |||
* [[Компоновка схемы]] | |||
* [[Жадные алгоритмы покрытия множества (вариант UFL с жесткими ограничениями, в котором объекты могут строиться в любых местоположениях по одной и той же стоимости)]] | |||
* [[Локальные аппроксимации задач упаковки и покрытия]] | |||
* [[Локальный поиск для задачи о k-медианах и задачи о размещении объектов]] | |||
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