Discrete Stochastic Processes, Chapter 4: Renewal Processes
158 CHAPTER 4. RENEWAL PROCESSES In most situations, we use the words arrivals and renewals interchangably, but for this type of example, the word arrival is used for the counting process {N(t); t > 0} and the word renewal is used for {Nr(t); t > 0}.The reason for being interested in {Nr(t); t > 0} is that it allows us to analyze very complicated queues such as this in two stages.
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