Model Fitting for a Class of SMAPs

Lothar Breuer
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Lothar Breuer: University of Trier, Department of Computer Science

Chapter Chapter 10 in From Markov Jump Processes to Spatial Queues, 2003, pp 139-144 from Springer

Abstract: Abstract In order to apply the concept of SMAPs and their respective queues, it is necessary to estimate the arrival parameters from real data streams. In general, this problem has not been solved yet. The problem of estimating parameters is more complex for SMAPs than for Batch Markovian Arrival Processes (BMAPs, see chapters 3 and 6), since homogeneous SMAPs generalize BMAPs towards a larger phase space and — most importantly — spatial batch arrivals. However, for certain subclasses of SMAPs estimation procedures can be derived.

Keywords: Interarrival Time; Markovian Arrival Process; Arrival Parameter; MARKOV Jump Process; Batch Markovian Arrival Process (search for similar items in EconPapers)
Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-94-010-0239-4_10

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DOI: 10.1007/978-94-010-0239-4_10

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