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Response-Time Models and Timeliness Hazard Rate

In: Dependability of Networked Computer-based Systems

Author

Listed:
  • 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))

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.

Suggested Citation

  • Ajit Kumar Verma & Srividya Ajit & Manoj Kumar, 2011. "Response-Time Models and Timeliness Hazard Rate," Springer Series in Reliability Engineering, in: Dependability of Networked Computer-based Systems, chapter 0, pages 131-168, Springer.
    • Handle: RePEc:spr:ssrchp:978-0-85729-318-3_6
    DOI: 10.1007/978-0-85729-318-3_6
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