Stochastic Decomposition Results for Poisson Input Queue and Its Applications

Authors

  • Gautam Choudhury Mathematical Sciences Division, Institute of Advanced Study in Science and Technology, Guwahati, Assam, India
  • Akhil Goswami Department of Mathematics, Gauhati University, Guwahati, Assam, India
  • Anjana Begum Mathematical Sciences Division, Institute of Advanced Study in Science and Technology, Guwahati, Assam, India
  • Hemanta Kumar Sarmah Department of Mathematics, Gauhati University, Guwahati, Assam, India

Keywords:

Heterogeneous services, generalized vacation, embedded Markov chain technique

Abstract

In this paper, we derive some decomposition results for Poisson input queue with two types of general heterogeneous services and generalized vacations under optional repeated service policy. Our results are based on an embedded Markov chain technique which includes several kinds of generalizations of some well-known results for the vacation model that leads to remarkable simplification while solving similar types of complex models. Finally, we demonstrate some well-known existing results as particular cases of our decomposition result.

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Published

2021-12-30

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Section

Articles