Online scheduling on uniform machines with two hierarchies

Online scheduling on uniform machines with two hierarchies

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Article ID: iaor20126003
Volume: 24
Issue: 4
Start Page Number: 593
End Page Number: 612
Publication Date: Nov 2012
Journal: Journal of Combinatorial Optimization
Authors: ,
Keywords: combinatorial optimization, production
Abstract:

In this paper we study online scheduling problem on m parallel uniform machines with two hierarchies. The objective is to minimize the maximum completion time (makespan). Machines are provided with different capability. The machines with speed s can schedule all jobs, while the other machines with speed 1 can only process partial jobs. Online algorithms for any 0<s <∞ are provided in the paper. For the case of k=1 and m=2, and the case of some values of s, k=1 and m=3, the algorithms are the best possible, where k is the number of machines with hierarchy 1, and m is the number of machines. Lower bounds for some special cases are also presented.

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