Max-Min Fair Link Quality in WSN Based on SINR

Algorithm 1

MMF algorithm (optimal max-min fair SINR link transmission).

   Input: Set of activated links 𝑀 = (TX, RX);

   Output: 𝑆=[𝑠_(𝑙,𝑝)∶(𝑙,𝑝)∈𝑀] the vector of optimal

      Max-Min Fair SINR associated with activated links

(1) Set 𝐿=𝑀;𝐿₀=∅;𝑘=1;

(2)  repeat

(3)   Solve problem 𝐷_𝑘 (Compute 𝑧 value);

(4)   Identify (𝑙,𝑝)∈𝐿 for the respective 𝑧 value;

(5)   Set 𝑠_(𝑙,𝑝)=𝑧;

(6)   Set 𝐿_𝑘=𝐿_𝑘−1∪(𝑙,𝑝);

(7)   Set 𝐿=𝐿⧵(𝑙,𝑝);

(8)   𝑘=𝑘+1;

(9)  until ((𝑧≤𝛽) AND (𝐿  not empty));

(10) For all remaining links (𝑙,𝑝) after the final step of the

     algorithm, set their respective 𝑠_(𝑙,𝑝)=𝛽;