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Delay Analysis of Resequencing Buffer in Markov Environment with HOQ-FIFO-LIFO Policy

  • Rostislav Razumchik
  • Miklós TelekEmail author
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 10497)

Abstract

Resequencing of customers during the service process results in hard to analyze delay distributions. A set of models with various service and resequencing policies have been analyzed already for memoryless arrival, service and resequencing processes with an intensive use of transform domain descriptions. In case of Markov modulated arrival, service and resequencing processes those methods are not applicable any more. In a previous work we analyzed the Markov modulated case with HOQ-FIFO-FIFO policy (head of queue customer of the higher priority FIFO queue is moved to resequencing FIFO queue). In this work we investigate if the approach remains applicable for different service discipline for the HOQ-FIFO-LIFO policy.

It turns out that the analysis of the new service policy requires the solution of a coupled quadratic matrix equations which were separated in the HOQ-FIFO-FIFO case.

Keywords

Resequencing buffer Delay analysis Markov modulated arrival Service process 

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Copyright information

© Springer International Publishing AG 2017

Authors and Affiliations

  1. 1.Institute of Informatics Problems, Federal Research Center “Computer Science and Control” of the Russian Academy of SciencesMoscowRussia
  2. 2.Peoples Friendship University of Russia (RUDN University)MoscowRussia
  3. 3.Department of TelecommunicationsTechnical University of BudapestBudapestHungary
  4. 4.MTA-BME Information Systems Research GroupBudapestHungary

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