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A Retrial Queuing Model with Unreliable Server in K Policy

  • M. SeenivasanEmail author
  • M. Indumathi
Conference paper
Part of the Trends in Mathematics book series (TM)

Abstract

The retrial queue with unreliable server with provision of temporary server has been studied. A temporary server is installed when the primary server is over loaded. It means that a fixed queue length of K-policy customers including the customer with the primary server has been build up. The primary server may breakdown while rendering service to the customers; it is sent for the repair. This type of queuing system has been investigated using matrix geometric method and obtains the probabilities of the system steady state. From the probabilities, we found some performance measures.

Keywords

Retrial queue Retrial rate Stationary distribution Server breakdown Matrix geometric method 

AMS Subject Classification

60K25 60K30 and 90B22 

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Copyright information

© Springer Nature Switzerland AG 2018

Authors and Affiliations

  1. 1.Department of MathematicsAnnamalai UniversityAnnamalainagar, ChidambaramIndia

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