@inproceedings{0e137bb05d274b88b6e80468e76983e6,

title = "Off-line temporary tasks assignment",

abstract = "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 algorithm can achieve a better approximation ratio than4/3 unless P = NP.",

author = "Yossi Azar and Oded Regev",

note = "Publisher Copyright: {\textcopyright} Springer-Verlag Berlin Heidelberg 1999.; 7th Annual European Symposium on Algorithms, ESA 1999 ; Conference date: 16-07-1999 Through 18-07-1999",

year = "1999",

doi = "10.1007/3-540-48481-7_15",

language = "English (US)",

isbn = "3540662510",

series = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",

publisher = "Springer Verlag",

pages = "163--171",

editor = "Jaroslav Ne{\v s}et{\v r}il",

booktitle = "Algorithms - ESA 1999 - 7th Annual European Symposium, Proceedings",

}