Abstract
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.
This chapter is dedicated to the memory of Professor Marcel Neuts, pioneer of MAM and algorithmic probability, who died on March 9, 2014.
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Chakravarthy, S. (2015). Matrix-Analytic Queueing Models. In: An Introduction to Queueing Theory. Statistics for Industry and Technology. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-0-8176-8421-1_8
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DOI: https://doi.org/10.1007/978-0-8176-8421-1_8
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Publisher Name: Birkhäuser, Boston, MA
Print ISBN: 978-0-8176-8420-4
Online ISBN: 978-0-8176-8421-1
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