IEEE Transactions on Computers
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Journal of Parallel and Distributed Computing - Special issue on software support for distributed computing
Journal of Parallel and Distributed Computing
Modelling with Generalized Stochastic Petri Nets
Modelling with Generalized Stochastic Petri Nets
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Journal of Computer Science and Technology - Grid computing
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Journal of Parallel and Distributed Computing - Special issue: Design and performance of networks for super-, cluster-, and grid-computing: Part I
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GCC '06 Proceedings of the Fifth International Conference on Grid and Cooperative Computing
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Future Generation Computer Systems
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The Journal of Supercomputing
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IEEE Transactions on Parallel and Distributed Systems
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Future Generation Computer Systems
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Expert Systems with Applications: An International Journal
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COCOON'99 Proceedings of the 5th annual international conference on Computing and combinatorics
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Future Generation Computer Systems
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Computers and Electrical Engineering
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SPDP '91 Proceedings of the 1991 Third IEEE Symposium on Parallel and Distributed Processing
A probabilistic task scheduling method for grid environments
Future Generation Computer Systems
High throughput computing for spatial information processing (HIT-SIP) system on grid platform
EGC'05 Proceedings of the 2005 European conference on Advances in Grid Computing
A fault-tolerant scheduling system for computational grids
Computers and Electrical Engineering
IEEE Transactions on Multimedia
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This paper offers a mathematical solution based on queuing theory and a generalized stochastic Petri net model to minimize the total makespan of the grid computing environments. A grid manager could minimize the total makespan through cautious distribution of subtasks to the grid resources. Subtask arrival rates depend on the arrival rate of the grid tasks submitted to the grid manager, local tasks directly submitted to the grid resources and the processing speed of the resources. Modeling the grid environment using queuing network, the steady state analysis of the network will result in the mean response time of the resources. Therefore, the total makespan could be minimized by minimizing the longest mean response time of the resources. The accuracy of the values obtained for the subtasks arrival rates at each of the grid resources from solving the corresponding queuing network could be further evaluated by steady state analysis of the generalized stochastic Petri net modeling the same grid environment.