1. An operations management apparatus, comprising: a correlation model storing unit which stores a correlation model including one or more correlation functions each of which indicates a correlation for a pair of types of performance values out of a plural types of performance values, for each of plural monitored objects; a correlation destruction detecting unit which detects correlation destruction related to a correlation which is included in said correlation model by applying inputted said performance value of said monitored object to said correlation model of said monitored object which said correlation model storing means stores; and a fault analyzing unit which determines and outputs said monitored object which should be a candidate to cause a fault through comparing results of judging whether detecting or not detecting said correlation destruction related to a common correlation in a plurality of said monitored objects which are connected directly or indirectly with a common apparatus or common said monitored object and which have said correlation models including said common correlation.