Fast approximation algorithms for job scheduling with processing set restrictions

We consider the problem of scheduling n independent jobs on m parallel machines, where the machines differ in their functionality but not in their processing speeds. Each job has a restricted set of machines to which it can be assigned, called its processing set. Preemption is not allowed. Our goal...

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Vydáno v:Theoretical computer science Ročník 411; číslo 44-46; s. 3947 - 3955
Hlavní autoři: Huo, Yumei, Leung, Joseph Y.-T.
Médium: Journal Article
Jazyk:angličtina
Vydáno: Oxford Elsevier B.V 25.10.2010
Elsevier
Témata:
Algorithmics. Computability. Computer arithmetics
Algorithms
Applied sciences
Approximation
C (programming language)
Combinatorics
Combinatorics. Ordered structures
Computer science; control theory; systems
Computer systems performance. Reliability
Constrictions
Exact sciences and technology
Graph theory
Inclusive processing set
Makespan minimization
Mathematical analysis
Mathematics
Miscellaneous
Nested processing set
Nonpreemptive scheduling
NP-hard
Polynomial-time approximation algorithm
Schedules
Scheduling
Sciences and techniques of general use
Software
Theoretical computing
Tree-hierarchical processing set
NP-hard
Makespan minimization
Tree-hierarchical processing set
Nested processing set
Nonpreemptive scheduling
Inclusive processing set
Polynomial-time approximation algorithm
Computer theory
Polynomial approximation
Parallel machines
Minimization
Makespan
Approximation algorithm
Polynomial time
Schedule
Tree
Fast algorithm
ISSN:0304-3975, 1879-2294
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Popis
Shrnutí:We consider the problem of scheduling n independent jobs on m parallel machines, where the machines differ in their functionality but not in their processing speeds. Each job has a restricted set of machines to which it can be assigned, called its processing set. Preemption is not allowed. Our goal is to minimize the makespan of the schedule. We study two variants of this problem: (1) the case of tree-hierarchical processing set and (2) the case of nested processing set. We first give a fast algorithm for the case of tree-hierarchical processing set with a worst-case bound of 4/3, which is better than the best known algorithm whose worst-case bound is 2. We then give a more complicated algorithm for the case of nested processing set with a worst-case bound of 5/3, which is better than the best known algorithm whose worst-case bound is 7/4. In both cases, we will give examples achieving the worst-case bounds.
Bibliografie:ObjectType-Article-2
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ISSN:0304-3975
1879-2294
DOI:10.1016/j.tcs.2010.08.008