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Divisible Load Scheduling and Markov Chain Models
- Source :
- Computers & Mathematics with Applications. 52:1529-1542
- Publication Year :
- 2006
- Publisher :
- Elsevier BV, 2006.
-
Abstract
- In this paper, the equivalence between various divisible load-scheduling policies and continuous time Markov chains is demonstrated. This provides a basic unification of both data parallel divisible load scheduling and Markov chain models for the first time in 16 years of research. Such equivalence is demonstrated for divisible scheduling on linear daisy chains and single and two level tree networks.
- Subjects :
- Discrete mathematics
Mathematical optimization
Markov chain mixing time
Markov chains
Markov chain
Divisible loads
Scheduling
Variable-order Markov model
Divisible jobs
Markov process
Continuous-time Markov chain
Computational Mathematics
symbols.namesake
Computational Theory and Mathematics
Markov renewal process
Linear networks
Modelling and Simulation
Modeling and Simulation
symbols
Markov property
Examples of Markov chains
Tree networks
Mathematics
Subjects
Details
- ISSN :
- 08981221
- Volume :
- 52
- Database :
- OpenAIRE
- Journal :
- Computers & Mathematics with Applications
- Accession number :
- edsair.doi.dedup.....3a6dd8774eb5bd443a296aec71aea84d