Abstract
This paper presents a novel control algorithm to decrease the worst-case delay bound for high rate homogeneous and heterogeneous real-time flows when the network traffic load becomes heavy. The algorithm is adaptive based on the instantaneous network situations. It employs a generalized form of traditional (σ,ρ) regulator called the generalized (σ,ρ,λ) regulator that operates like the (σ,ρ) regulator under the normal network traffic load situation, but provides more regulations for the heavy network traffic load situation. For a set of real-time flows, we can show that D rg ≤D g where D rg and D g are the worst-case delay bounds with the (σ,ρ,λ) regulator and the (σ,ρ) regulator respectively. More specifically, we have developed a set of formulas to set the parameters for the new regulator so as to reduce the worst-case delay bounds for the real-time flows. We can prove that there exists a threshold input rate ρ* such that D rg = D g for ρ≤ρ* and D rg < D g for ρ > ρ*. When the average input rate of real-time flows is very high, the generalized regulator can effectively control the delay. The extensive experiment data match our theoretical results.
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The part of this paper has been appeared in The 23 rd IEEE International Conference on Distributed Computing Systems, 2003. The work is supported by CityU strategic grant Nos: 7001777 and 7001709 and CityU ARP Project No. 9610027. H. Wang was partially supported by National Natural Science Foundation of China (10471088, 60572126) and CityU strategic grant no. 7001709. Wanqing Tu is now with Department of Computer Science, The Hong Kong University of Science and Technology. Clear Water Bay, New Territories, Kowloon, Hong Kong.
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Jia, W., Wang, H., Tu, W. et al. A New delay control method for real-time flows. J Comb Optim 12, 127–149 (2006). https://doi.org/10.1007/s10878-006-8908-9
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DOI: https://doi.org/10.1007/s10878-006-8908-9