Message Delay in TDMA Channels with Contiguous Output

In a recent paper [1], Ko and Davis have considered the problem of deriving the exact message delay for TDMA channels with multiple contiguous output. Their analysis yields an expression for the average message delay, under the assumption of a Poisson message arrival process. In the present paper a much more general treatment of the same problem is presented, resulting in a closed form expression for the whole probability generating function of the message delay, which is valid for a general arrival process.