1. An information processing system comprising: a plurality of information processing apparatuses; a management apparatus including a first processor, and configured to manage execution of jobs by the plurality of information processing apparatuses; and a terminal apparatus coupled to the management apparatus and including a second processor; wherein the information processing system performs steps to: transmit, by the second processor, an inquiry for the amount of emptiness of the plurality of information processing apparatuses to the management apparatus, the inquiry including a number indicating a number of dimensions for execution of a plurality of urgent jobs, wherein the inquiry includes a requested number of dimensions that are empty within the plurality of information processing apparatuses; when the inquiry is received from the second processor, determine, by the first processor, whether one or more information processing apparatuses are available to execute a job among the plurality of information processing apparatuses, by referring to free space information in which coordinates of an origin in a free space and sizes in directions of individual coordinate axes are associated with each other for each of a plurality of free spaces, the plurality of free spaces respectively indicating a free resource for a job; determine, by the first processor, whether the number of dimensions included in the inquiry is two or more, when determining one or more information processing apparatuses are available for executing the job; if the inquiry does not include the two or more dimensions, then determine a number of empty nodes; calculate, by the first processor, a maximum free space having a maximum volume among the plurality of free spaces included in the free space information, when it is determined that the number of dimensions is two or more, transmit, by the first processor, either the number of empty nodes or information of the calculated maximum free space to the terminal apparatus; transmit, by the first processor, information on a number of the one or more information processing apparatuses of the maximum volume that are available to execute the job to the terminal apparatus, when it is determined that the number of dimensions is two or more; select, by the second processor, at least one urgent job that is capable of executing by using the one or more information processing apparatuses that are available to execute the job, from among the plurality of urgent jobs, based on the maximum free space occupying the number of the one or more information processing apparatuses; transmit, by the second processor, identification information of the selected at least one urgent job to the management apparatus; receive, by the first processor, the identification information from the terminal apparatus; perform, by the first processor, scheduling to execute the selected at least one urgent job; and execute the selected at least one urgent job by the information processing apparatuses within the maximum free space.