Computers are connected via multidimensional mesh or torus connection in a network. In response to a request for executing maintenance processing on computers in the network, an apparatus detects execution-scheduled jobs to be executed after an execution start time of the maintenance processing, based on execution-scheduled start times of jobs to be executed by the computers. The apparatus calculates, for each execution-scheduled job, a characteristic value of an axial length of an execution-scheduled job area in each axial direction of multidimensional axes in the network, where the execution-scheduled job area includes a group of computers to execute the each execution-scheduled job. The apparatus determines a maintenance area in the network on which the maintenance processing is to be executed, based on the characteristic values of the axial lengths of the execution-scheduled job areas, and executes the maintenance processing on computers in the maintenance area.