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http://hdl.handle.net/20.500.12188/33235
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Mirchevski, Stefan | en_US |
dc.contributor.author | Bakeva, Verica | en_US |
dc.date.accessioned | 2025-04-12T14:42:01Z | - |
dc.date.available | 2025-04-12T14:42:01Z | - |
dc.date.issued | 2024-08-15 | - |
dc.identifier.citation | 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 | en_US |
dc.identifier.uri | http://hdl.handle.net/20.500.12188/33235 | - |
dc.description.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. | en_US |
dc.language.iso | en | en_US |
dc.publisher | Elsevier | en_US |
dc.relation.ispartof | Applied Mathematics and Computation | en_US |
dc.relation.ispartofseries | Vol. 475;128729 | - |
dc.subject | queueing system | en_US |
dc.subject | Poisson input stream | en_US |
dc.subject | Erlang-k service time | en_US |
dc.subject | cost function | en_US |
dc.title | Cost function analysis of a single-server queueing system with Poisson input stream and Erlang-k service time | en_US |
dc.type | Article | en_US |
dc.identifier.doi | 10.1016/j.amc.2024.128729 | - |
item.fulltext | No Fulltext | - |
item.grantfulltext | none | - |
crisitem.author.dept | Faculty of Computer Science and Engineering | - |
Appears in Collections: | Faculty of Computer Science and Engineering: Journal Articles |
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