Investigation of the Boundary Functionals of the Renewal – Reward Process with a Generalized Reflecting Barrier

Subject Applied Mathematics
Title Investigation of the Boundary Functionals of the Renewal – Reward Process with a Generalized Reflecting Barrier
Author(s) Tahir Khaniyev, Basak Gever and Zulfiyya Mammadova
Keywords Renewal – reward process, Boundary functionals, Asymptotic expansion, Renewal function, Reflecting barrier.
Abstract

In this study, a renewal - reward process with a generalized reflecting barrier is mathematically constructed. Moreover, the exact expressions and asymptotic expansions are obtained for the first four moments of the some boundary functionals of the process.