In this study a modification of renewal-reward process with dependent components and normally distributed interference of chance are investigated. The approximate formulas for the ergodic distribution of the process and its moments are proposed.TOBB University of Economics and Technology (Turkey)STRONG> /STRONG>In addition, one of the authors (Aynura Poladova) would like to thank TOBB University of Economics and Technology (Turkey) and Saleh A. Kamel for financial support of her scientific research
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