Successive inter-arrival times in the queueing systems considered in the previous chapters form a renewal process. However, in many practical situations, especially in production and manufacturing systems, the inter-arrival times between jobs may not form a renewal process. In this chapter, we present versatile Markovian point processes (VMPP) introduced by Neuts (1974) that enable us to model arrival processes that may not be renewal.
Service Time Queue Length Renewal Process Arrival Process Busy Period
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