TY - GEN
T1 - Off-line temporary tasks assignment
AU - Azar, Yossi
AU - Regev, Oded
N1 - Publisher Copyright:
© Springer-Verlag Berlin Heidelberg 1999.
PY - 1999
Y1 - 1999
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=84958093314&partnerID=8YFLogxK
U2 - 10.1007/3-540-48481-7_15
DO - 10.1007/3-540-48481-7_15
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AN - SCOPUS:84958093314
SN - 3540662510
SN - 9783540662518
T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
SP - 163
EP - 171
BT - Algorithms - ESA 1999 - 7th Annual European Symposium, Proceedings
A2 - Nešetřil, Jaroslav
PB - Springer Verlag
T2 - 7th Annual European Symposium on Algorithms, ESA 1999
Y2 - 16 July 1999 through 18 July 1999
ER -