Add to ORKGIn this paper we consider the temporary tasks assignment problem. In this problem, there are m parallel machines and n independent jobs. Each job has an arrival time, a departure time and some weight. Each job should be assigned to one machine. The load on a machine at a certain time is the sum of the weights of jobs assigned to it at that time. The objective is to nd an assignment that minimizes the maximum load over machines and time. We present a polynomial time approximation scheme for the case in which the number of machines is xed. We also show that for the case in which the number of machines is given as part of the input (i.e., not xed), no polynomial algorithm can achieve a better approximation ratio than 3 2 unless P = NP