It is known that the achievable data rate per user can be increased when relays are deployed in wireless networks. However, the drawback of this solution is that some of the network resources should be allocated to the relays. In this paper, we consider a two-tier network where all users should send/receive data in two hops. Applying vector quantization, we approximate the best relays’ locations. The relays’ locations are also computed analytically when the number of relays is less than six. Having the relays’ locations, the network average transmission rate is evaluated in terms of a set of network parameters. Then, in the space of these network parameters, we introduce the concept of neutrality-surface. The neutrality-surface is defined such that the performance of any relay network operating below this surface is inferior to that of a no-relay network with the same parameters. Finally, we study the relative relaying gain for different network configurations.
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