Response-Time Models and Timeliness Hazard Rate

  • Ajit Kumar Verma
  • Srividya Ajit
  • Manoj Kumar
Part of the Springer Series in Reliability Engineering book series (RELIABILITY)


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.


Sensor Node Timeliness Failure Network Channel Network Delay Continuous Time Markov Chain 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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© Springer-Verlag London Limited 2011

Authors and Affiliations

  1. 1.Department of Electrical EngineeringIndian Institute of Technology Bombay (IITB)Powai, MumbaiIndia
  2. 2.Department of Civil EngineeringIndian Institute of Technology Bombay (IITB)Powai, MumbaiIndia

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