Response-Time Models and Timeliness Hazard Rate

Ajit Kumar Verma (), Srividya Ajit () and Manoj Kumar ()
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Ajit Kumar Verma: Indian Institute of Technology Bombay (IITB)
Srividya Ajit: Indian Institute of Technology Bombay (IITB)
Manoj Kumar: Indian Institute of Technology Bombay (IITB)

Chapter Chapter 6 in Dependability of Networked Computer-based Systems, 2011, pp 131-168 from Springer

Abstract: Abstract In tagged customer approach, an arbitrary message/customer is picked as the tagged message/customer and its passage through the network (closed queuing, with finite steady-state distribution) is tracked. By this method, the problem of computing the response time distribution of the tagged customer is transformed into time to absorption distribution of a finite-state, continuous time Markov chain (CTMC), conditioned on the state of the system upon entry. Using the arrival theorem of Sevcik and Mitrani [8], distribution of the other customers in the network at the instant of arrival of tagged customer can be established. This allows obtaining the unconditional response time distribution.

Keywords: Sensor Node; Timeliness Failure; Network Channel; Network Delay; Continuous Time Markov Chain (search for similar items in EconPapers)
Date: 2011
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DOI: 10.1007/978-0-85729-318-3_6

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