Off-line temporary tasks assignment

Yossi Azar, Oded Regev*, Jiří Sgall, Gerhard J. Woeginger

*Corresponding author for this work

Research output: Contribution to journalConference articlepeer-review


In 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 find 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 fixed. We also show that for the case in which the number of machines is given as part of the input (i.e., not fixed), no polynomial algorithm can achieve a better approximation ratio than 3/2 unless P = NP.

Original languageEnglish
Pages (from-to)419-428
Number of pages10
JournalTheoretical Computer Science
Issue number2
StatePublished - 28 Sep 2002
EventAlgorthims (ESA'99) - Prague, Czech Republic
Duration: 16 Jul 199918 Jul 1999


FundersFunder number
US-Israel Binational Science Foundation
National Science Foundation
United States - Israel Binational Science FoundationA1019901
Israel Science Foundation
Ústav živocišné fyziologie a genetiky AV CR201=97=P038, INT-9600919=ME-103
Bundesministerium für Wissenschaft und Forschung


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