Текст:Задача о покрытии: жадный алгоритм
Жадный алгоритм является простейшим и достаточно эффективным приближенным алгоритмом для задачи о покрытии. 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.
Анализ алгоритма показывает, что размер покрытия, построенного жадным алгоритмом, превосходит минимальное не более, чем в 1+ln m раз (где m - число элементов в покрываемом множестве).
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Множества</text>
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Множества</text>
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Множества</text>
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Элементы</text>
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Множества</text>
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По крайней мере часть этого текста взята с ресурса http://lib.custis.ru/ под лицензией GDFL.Список авторов доступен на этом ресурсе в статье под тем же названием.