Ashok Krishnan, KS and Sharma, V (2020) Diffusion approximation analysis of multihopwireless networks: Quality-of-service and convergence of stationary distribution. [Book Chapter]
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Abstract
Consider a multihop wireless network, with multiple source�destination pairs. We obtain a channel scheduling policy which can guarantee end-to-end mean delay for different traffic streams. We show the stability of the network for this policy by convergence to a fluid limit. It is intractable to obtain the stationary distribution of this network. Thus, we also provide a diffusion approximation for this scheme under heavy traffic. We further show that the stationary distribution of the scaled process of the network converges to that of the Brownian limit. This theoretically justifies the performance of the system. We verify the theoretical properties by means of simulations. © The Editor(s) (if applicable) and The Author(s), under exclusive licence to Springer Nature Singapore Pte Ltd. 2020.
| Item Type: | Book Chapter |
|---|---|
| Publication: | Infosys Science Foundation Series in Mathematical Sciences |
| Series.: | Infosys Science Foundation Series in Mathematical Sciences |
| Publisher: | Springer |
| Additional Information: | The copyright of this article belongs to Springer |
| Department/Centre: | Division of Electrical Sciences > Electrical Communication Engineering |
| Date Deposited: | 06 Oct 2020 11:34 |
| Last Modified: | 06 Oct 2020 11:34 |
| URI: | http://eprints.iisc.ac.in/id/eprint/66699 |
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