Maximum and minimum of random variables are frequently encountered in the stochastic modelling for varlous OR problems. We summarize and extend characteristics of maximum and minimum, emphasizing the case in which random variables are independent and ...
Maximum and minimum of random variables are frequently encountered in the stochastic modelling for varlous OR problems. We summarize and extend characteristics of maximum and minimum, emphasizing the case in which random variables are independent and all of them except one are distributed exponential. As an application, we derive a transform-free expression for the M/G/1 queue length distribution.