Optimal Delay-Throughput Trade-offs in Mobile Ad-Hoc Networks: Hybrid Random Walk and One-Dimensional Mobility Models

Optimal delay-throughput trade-offs for two-dimensional i.i.d mobility models have been established in [23], where we showed that the optimal trade-offs can be achieved using rate-less codes when the required delay guarantees are sufficient large. In this paper, we extend the results to other mobility models including two-dimensional hybrid random walk model, one-dimensional i.i.d. mobility model and one-dimensional hybrid random walk model. We consider both fast mobiles and slow mobiles, and establish the optimal delay-throughput trade-offs under some conditions. Joint coding-scheduling algorithms are also proposed to achieve the optimal trade-offs.