A Fluid Model for a Relay Node in an Ad Hoc Network: Evaluation of Resource Sharing Policies

Figure 1

Illustration of the model. The top panel depicts the number of flows 𝑁_𝑡 as a function of time, the middle panel the rate allocated to each source as a function of time, and the bottom panel the workload 𝑊_𝑡 as a function of time; we have chosen 𝑊=3/2. Note that when 𝑁_𝑡=1 the rate per source equals 𝐶/2 when the buffer is empty, and 2𝐶/5 when the buffer is nonempty. Also note that the queue builds up when 𝑁_𝑡≥2.

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