Online Scheduling with Bounded Migration

Consider the classical online scheduling problem, in which jobs that arrive one by one are assigned to identical parallel machines with the objective of minimizing the makespan. We generalize this problem by allowing the current assignment to be changed whenever a new job arrives, subject to the con...

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Published inLecture notes in computer science Vol. 34; no. 2; pp. 481 - 498
Main Authors Sanders, Peter, Sivadasan, Naveen, Skutella, Martin
Format Journal Article
LanguageEnglish
Published Linthicum INFORMS 01.05.2009
Institute for Operations Research and the Management Sciences
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ISSN0364-765X
1611-3349
0302-9743
1526-5471
DOI10.1287/moor.1090.0381

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Summary:Consider the classical online scheduling problem, in which jobs that arrive one by one are assigned to identical parallel machines with the objective of minimizing the makespan. We generalize this problem by allowing the current assignment to be changed whenever a new job arrives, subject to the constraint that the total size of moved jobs is bounded by some constant times the size of the arriving job. This constant is called the migration factor. For small migration factors, we obtain several simple online algorithms with constant competitive ratio. We also present a linear time "online approximation scheme," that is, a family of online algorithms with competitive ratio arbitrarily close to 1 and constant migration factor.
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ISSN:0364-765X
1611-3349
0302-9743
1526-5471
DOI:10.1287/moor.1090.0381