A note on hierarchical scheduling on two uniform machines

A note on hierarchical scheduling on two uniform machines

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Article ID: iaor20105433
Volume: 20
Issue: 1
Start Page Number: 85
End Page Number: 95
Publication Date: Jul 2010
Journal: Journal of Combinatorial Optimization
Authors: ,
Abstract:

This paper studies online hierarchical scheduling on two uniform machines with the objective to minimize makespan. Machines are provided with different capability, i.e., the one with speed s can schedule all jobs, while the other one with speed 1 can only process partial jobs. Optimal algorithms for any 0<s<∞ are given in the paper. For 0<s<1, it has a competitive ratio of min{1+s,1+1+s1+s+s2} equ1. For s>1, the competitive ratio is min{1+ss,1+2s1+s+s2} equ2.

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