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, τ₁, τ₂, …; Σ₁, Σ₂, …; are independent, non-negative variables, with τ₁, τ₂,…, identically distributed, similarly, the variables Σ₁, Σ₂, …, are identically distributed.