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Задача о покрытии:жадный алгоритм — различия между версиями

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Строка 1: Строка 1:
Жадный алгоритм является простейшим и достаточно эффективным приближенным алгоритмом
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#REDIRECT [[discopal:{{PAGENAME}}]]
для [[Задача о покрытии|задачи о покрытии]].
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Он заключается в выборе на каждом шаге подмножества, покрывающего максимальное число
+
еще непокрытых элементов. Работа этого алгоритма проиллюстрирована на рисунке, где по вертикали представлены подмножества элементов, по горизонтали элементы (т.е. каждый графический обьект с координатами ''x,y'' представляет принадлежность некоторого элемента ''x'' подмножеству ''y''), темным цветом выделены выбранные алгоритмом подмножества.
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Анализ алгоритма показывает, что размер покрытия, построенного жадным алгоритмом,
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превосходит минимальное не более, чем в ''1+ln m'' раз (где ''m'' - число элементов в покрываемом множестве).
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[[Category:Алгоритмы]]
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{{replicate-from-custiswiki-to-lib}}
+

Текущая версия на 20:43, 13 июня 2011

  1. REDIRECT discopal:Задача о покрытии:жадный алгоритм