Using dual approximation algorithms for scheduling problems theoretical and practical results
Journal of the ACM (JACM)
Approximation algorithms for scheduling unrelated parallel machines
Mathematical Programming: Series A and B
Online computation and competitive analysis
Online computation and competitive analysis
Algorithms for Scheduling Independent Tasks
Journal of the ACM (JACM)
Exact and Approximate Algorithms for Scheduling Nonidentical Processors
Journal of the ACM (JACM)
Computers and Intractability: A Guide to the Theory of NP-Completeness
Computers and Intractability: A Guide to the Theory of NP-Completeness
Developments from a June 1996 seminar on Online algorithms: the state of the art
On-Line Load Balancing of Temporary Tasks on Identical Machines
ISTCS '97 Proceedings of the Fifth Israel Symposium on the Theory of Computing Systems (ISTCS '97)
Load balancing of temporary tasks in the lp norm
Theoretical Computer Science - Approximation and online algorithms
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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.