On two integral equations of queueing theory

Abstract

In the present paper the solutions of two integral equations are derived. One of the integral equations dominates the mathematical description of the stochastic process { v n , n = 1,2, …}, recursively defined by K is a positive constant, τ 1 , τ 2 , …; Σ 1 , Σ 2 , …; are independent, non-negative variables, with τ 1 , τ 2 ,…, identically distributed, similarly, the variables Σ 1 , Σ 2 , …, are identically distributed.