Authors : Mohammad Taremi and Mohammad Reza Salehi Rad
Abstract: One of the main characteristics in optimization and performance evaluation in a Queueing Model is its busy period. Finding the exact distribution of this variables in Queueing Models which service distribution and or inter-arrival distribution is general is so complicated and there is usually no closed formula for that. Traditionally in these situations, Laplase-Stieltjes transform this variable computed and then by using that the moments it determined.
Mohammad Taremi and Mohammad Reza Salehi Rad, 2011. Analyze the Duration of Busy Period in M|X|/G/1/K Systems with Vacation Time and under the Partial Batch Acceptance Strategy. Journal of Economics Theory, 5: 106-109.