Some Arrival Cases in Quorum Queues under N-Policy

Authors

  • Haneen Hayder Mahmoud Hussein Kashifalghitaa Department of Mathematics, College of Education for Pure Sciences, University of Babylon, Iraq, Iraq
  • Ali Hussein Mahmood Al-Obaidi Department of Mathematics, College of Education for Pure Sciences, University of Babylon, Iraq, Iraq

Keywords:

quorum queue, N-policy, first excess level theory, service batches, bulk input, marked delayed renewal process, delayed renewal process, point process, marked point process, random walk.

Abstract

This paper examines quorum queueing systems with N-policy by considering different arrivals cases. In this model, the server is idle when the queue size is less than r; otherwise, it operates R units or less. The probability generating function of queue size derives precisely under various distributions of arrivals. The random walk is analyzed using the first excess level theory.

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Published

2023-06-18

How to Cite

Haneen Hayder Mahmoud Hussein Kashifalghitaa, & Ali Hussein Mahmood Al-Obaidi. (2023). Some Arrival Cases in Quorum Queues under N-Policy. Utilitas Mathematica, 120, 437–454. Retrieved from http://utilitasmathematica.com/index.php/Index/article/view/1671

Issue

Vol. 120 (2023): Volume 120, 2023

Section

Articles

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