Theoretical limit of type-I hybrid selective-repeat ARQ with finite receiver buffer

There are many research on hybrid selective-repeat ARQ method. In many previous research purposes have been to maximize a throughput on the number of messages delivered to the user. Important theoretical limits were studied under the condition that a decoding error was very small and neglected. In this research we propose the optimal type-I hybrid selective-repeat ARQ with finite receiver buffer. The proposed method maximizes an expected total reward regarding the number of messages delivered to the user correctly based on statistical decision theory.