Subject: queueing system
Subject: Poisson input stream
Subject: Erlang-k service time
Subject: cost function
Year: 2024
Type: Article
Title: Cost function analysis of a single-server queueing system with Poisson input stream and Erlang-k service time
Author: Mirchevski, Stefan
Author: Bakeva, Verica
Abstract: In this paper, the cost function of a single-server queueing system with Poisson input stream and Erlang-k service time will be analyzed. Treated as a function of the traffic intensity ρ, with respect to some known constants, we will show that its stationary points are solutions of a fourth-degree polynomial equation with real coefficients. Moreover, an explicit form of these solutions is given and it is shown the function reaches a minimum value at some of these points. For illustration, a numerical analysis of the cost function is carried out by changing the values of the costs, which are changed according to the principle of arithmetic progression. Also, a statistical analysis of the relationship between optimal solutions \rho and \Phi(\rho) is done.
Publisher: Elsevier
Relation: Applied Mathematics and Computation
Identifier: oai:repository.ukim.mk:20.500.12188/33235
Identifier: S. Mirchevski, V. Bakeva: Cost function analysis of a single-server queueing system with Poisson input stream and Erlang-k service time, Applied Mathematics and Computation, Vol. 475, Elsevier, August 2024
Identifier: http://hdl.handle.net/20.500.12188/33235Identifier: 10.1016/j.amc.2024.128729
