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Analyzing the Two-Phase Heterogeneous and Batch Service Queuing System with Breakdown in Two-Phases, Feedback, and Vacation

Authors

  • S.P. Niranjan Department of Mathematics, Vel Tech Rangarajan Dr. Sagunthala R&D Institute of Science and Technology, Chennai, India. https://orcid.org/0000-0001-8697-5084
  • S. Devi Latha Department of Mathematics, Vel Tech Rangarajan Dr. Sagunthala R&D Institute of Science and Technology, Chennai, India. https://orcid.org/0000-0001-8697-5084

DOI:

https://doi.org/10.21123/bsj.2024.9126

Keywords:

Batch Service, Breakdown, Bulk Arrival, Feedback, Two Phase Service

Abstract

Customers are arriving at the system in bulk according to the Poisson process with rate λ1. The batch service process is split into two phases called first essential service (FES) and second essential service (SES) with minimum server capacity ′a′ and maximum server capacity ′b′. Customer who requires feedback after SES completion will be taken immediately for service by the server with probability β.

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