Efficient Method to Approximately Solve Retrial Systems with Impatience

Table 1

Revenue function definition.

Blocking probability	𝑃b	𝑟(𝑘,𝑚)=1 for 𝑘=𝐶, forall𝑚
		𝑟(𝑘,𝑚)=0 otherwise
Nonservice probability	𝑃ns	𝑟(𝑘,𝑚)=𝑚𝜇𝑟𝑃𝑖/𝜆 for 𝑘=𝐶, forall𝑚
		𝑟(𝑘,𝑚)=0 otherwise
Mean number of users retrying	𝑁ret	𝑟(𝑘,𝑚)=𝑚  forall𝑘, forall𝑚
Probability of being in state (𝐾,𝑀)	𝜋(𝐾,𝑀)	𝑟(𝑘,𝑚)=1 for 𝑘=𝐾, 𝑚=𝑀
		𝑟(𝑘,𝑚)=0 otherwise
Probability of having 𝐾 busy servers	𝐵(𝐾)	𝑟(𝑘,𝑚)=1 for 𝑘=𝐾, forall𝑚
		𝑟(𝑘,𝑚)=0 otherwise