Abstract
In this paper a graph-theoretical model of a scheduling problem is described. A set U of jobs is given; each job u has to be performed by an agent x with a machine x; all individual completion times of the jobs are known. The problem isto find a schedule for which (a) the total completion time l is as small as possible, and (b) l may be partitioned into a given number k of periods T1, . . . , Tk such that each agent (and each machine) is working approximately during the same amount of time at each period. A simple algorithm is outlined for partitioning the set U into k subsets corresponding to the k periods.

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