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Joint scheduling and routing using space–time graphs for TDM wireless mesh networks

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Abstract

This paper presents a novel algorithm for joint routing and scheduling in TDM wireless mesh networks. We introduce a new construct, called a “space–time graph,” which incorporates the spatial and temporal aspects of routing in one structure by replicating a spatial network connectivity graph in layers along the time dimension. The power of the space–time graph lies in the fact that a path from one node to another in it specifies both a physical route in space as well as a schedule in time for a message. Hence the complicated and intractable problem of routing and scheduling reduces to the relatively simpler problem of determining shortest paths in a graph. Through simulations we show that a simply greedy algorithm on the space–time graph outperforms two state-of-the-art methods in terms of time taken to successfully transmit a set of messages from their sources to their destinations.

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Notes

  1. In a practical implementation, the time-dimension is finite with maximum value T. If the initial value of T is found to be too small in the space–time algorithm, then it must be increased appropriately.

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Authors and Affiliations

  1. Department of Computer Science and Engineering, Indian Institute of Technology Delhi, Hauz Khas, New Delhi, 110016, India

    Salik Warsi, Vakul Jindal, Saket Kumar, Deepak Koli, Amitabha Bagchi & Vinay J. Ribeiro

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  1. Salik Warsi
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Correspondence to Vinay J. Ribeiro.

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Warsi, S., Jindal, V., Kumar, S. et al. Joint scheduling and routing using space–time graphs for TDM wireless mesh networks. Wireless Netw 22, 2355–2367 (2016). https://doi.org/10.1007/s11276-015-1102-1

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