Abstract
In this paper, we propose a new load distribution strategy called 'send-and-receive' for scheduling divisible loads, in a linear network of processors with communication delay. This strategy is designed to optimally utilize the network resources and thereby minimizes the processing time of entire processing load. A closed-form expression for optimal size of load fractions and processing time are derived when the processing load originates at processor located in boundary and interior of the network. A condition on processor and link speed is also derived to ensure that the processors are continuously engaged in load distributions. This paper also presents a parallel implementation of 'digital watermarking problem' on a personal computer-based Pentium Linear Network (PLN) topology. Experiments are carried out to study the performance of the proposed strategy and results are compared with other strategies found in literature.
Original language | English |
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Pages (from-to) | 1488-1501 |
Number of pages | 14 |
Journal | Mathematics and Computers in Simulation |
Volume | 79 |
Issue number | 5 |
DOIs | |
Publication status | Published - 2009 Jan |
Bibliographical note
Funding Information:This work was in part supported by ITRC, Korea University, under the auspices of IITA and MIC, Korea. We appreciate Saraswathi Sundararajan for providing proof-reading of this manuscript.
Copyright:
Copyright 2009 Elsevier B.V., All rights reserved.
Keywords
- Divisible load theory
- Linear networks
- Message processing time
- Parallel processing
- Send-and-receive model
ASJC Scopus subject areas
- Theoretical Computer Science
- General Computer Science
- Numerical Analysis
- Modelling and Simulation
- Applied Mathematics