Optimal Resource Allocation and VCG Auction-Based Pricing for H.264 Scalable Video Quality Maximization in 4G Wireless Systems

Algorithm 1

Optimal quality.

(1)  for  𝑖=1→𝑁

(2)  𝜆∗=𝑞min𝑅𝑆(𝑁∑𝑗=1𝑛𝑗𝑄max𝑄𝑗𝑡(𝑡𝑓)𝛽𝑗𝑑𝑗);

(3)  𝑞∗𝑖=𝑞min(1−1𝑑𝑖ln(𝑄max𝑄𝑖t(𝑡𝑓)𝑞min𝛽𝑖𝑚𝑖𝑟𝑖(1−𝜉𝑖)𝑛𝑖𝑅𝑖max𝑅𝑖𝑡(𝑡𝑓)𝜆∗𝑑𝑖));

(4)  if  𝑞∗𝑖<𝑞min  then

(5)    𝑞∗𝑖=𝑞min;

(6)  else  if  𝑞∗𝑖>𝑞max  then

(7)  𝑞∗𝑖=𝑞max;

(8)  end  if

(9)  𝑅𝑖(𝑞∗𝑖,𝑡𝑓)=𝑅𝑖max(1−𝑒−𝑐𝑖𝑡/𝑡max1−𝑒−𝑐𝑖)𝑒𝑑𝑖(1−𝑞∗𝑖/𝑞min);

(10)  𝑅𝑆∶𝑅𝑆−𝑅𝑖(𝑞∗𝑖,𝑡𝑓);

(11)  end  for

(12)  if  𝑞∗𝑖=𝑞min  then

(13)   𝑅𝑆∶𝑅𝑆−∑(𝑅𝑖(𝑞∗min,𝑡𝑓));

(14)  repeat  steps  (1)  to  (11)  for  the  remaining  video  sequences.

(15)  end  if