Finite Queueing Model under Uncertainty: Application on the Corona-Virus (COVID-19) Patients
Lounes Ameur *
Department of Technology, University of Skikda, Algeria.
Louiza Berdjoudj
Research Unit LaMOS, University of Bejaia, Algeria.
*Author to whom correspondence should be addressed.
Abstract
This paper proposes a methodology, based on the use of Chao Polynomials Expansion, for incorporating epistemic uncertainties in computing performance measures of retrial queueing models, compared to those given using the Taylor series Expansion. The approach consists in decomposing the output of the model (stationary distribution of the model) into a polynomial chaos. The proposed approach is used to analyze the M/M/1 Retrial Queue with Working Vacations and Vacation Interruption and applied it on corona-virus disease patients. Finally, some numerical examples and cost optimization analysis are presented.
Keywords: Flora, Optimization under uncertainty, Dilapidated walls, queuing model, Gwalior Fort, polynomial chaos expansion, Taylors series, corona-virus (COVID-19)