dc.contributor.author | Tanackov, Ilija | |
dc.contributor.author | Prentkovskis, Olegas | |
dc.contributor.author | Jevtić, Žarko | |
dc.contributor.author | Stojić, Gordan | |
dc.contributor.author | Ercegovac, Pamela | |
dc.date.accessioned | 2023-09-18T18:48:23Z | |
dc.date.available | 2023-09-18T18:48:23Z | |
dc.date.issued | 2019 | |
dc.identifier.uri | https://etalpykla.vilniustech.lt/handle/123456789/131922 | |
dc.description.abstract | This manuscript starts with a detailed analysis of the current solution for the queueing system M/Er/1/∞. In the existing solution, Erlang’s service is caused by Poisson’s arrival process of groups, but not individual clients. The service of individual clients is still exponentially distributed, contrary to the declaration in Kendall’s notation. From the related theory of the Hidden Markov Model (HMM), for the advancement of queueing theory, the idea of “hidden Markov states” (HMS) was taken. In this paper, the basic principles of application of HMS have first been established. The abstract HMS states have a catalytic role in the standard procedure of solving the non-Markovian queueing systems. The proposed solution based on HMS exceeds the problem of accessing identical client groups in the current solution of the M/Er/r queueing system. A detailed procedure for the new solution of the queueing system M/Er/1/∞ is implemented. Additionally, a new solution to the queueing system M/N/1/∞ with a normal service time N(μ, σ) based on HMS is also implemented. | eng |
dc.format | PDF | |
dc.format.extent | p. 1-11 | |
dc.format.medium | tekstas / txt | |
dc.language.iso | eng | |
dc.relation.isreferencedby | MatSciNet | |
dc.relation.isreferencedby | Genamics Journal Seek | |
dc.relation.isreferencedby | EI Compendex Plus | |
dc.relation.isreferencedby | DOAJ | |
dc.relation.isreferencedby | INSPEC | |
dc.relation.isreferencedby | Scopus | |
dc.relation.isreferencedby | Emerging Sources Citation Index (Web of Science) | |
dc.source.uri | https://doi.org/10.3390/a12070133 | |
dc.source.uri | https://www.mdpi.com/1999-4893/12/7/133 | |
dc.title | A new method for Markovian adaptation of the Non-Markovian queueing system using the hidden Markov model | |
dc.type | Straipsnis Web of Science DB / Article in Web of Science DB | |
dcterms.accessRights | This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0). | |
dcterms.references | 25 | |
dc.type.pubtype | S1 - Straipsnis Web of Science DB / Web of Science DB article | |
dc.contributor.institution | University of Novi Sad | |
dc.contributor.institution | Vilniaus Gedimino technikos universitetas | |
dc.contributor.faculty | Transporto inžinerijos fakultetas / Faculty of Transport Engineering | |
dc.subject.researchfield | T 003 - Transporto inžinerija / Transport engineering | |
dc.subject.researchfield | S 003 - Vadyba / Management | |
dc.subject.vgtuprioritizedfields | TD0303 - Žalioji logistika, tarptautiniai transporto koridoriai / Green logistics and international transport corridors | |
dc.subject.ltspecializations | L106 - Transportas, logistika ir informacinės ir ryšių technologijos (IRT) / Transport, logistic and information and communication technologies | |
dc.subject.en | queueing | |
dc.subject.en | Erlang | |
dc.subject.en | hidden | |
dc.subject.en | Markovian | |
dc.subject.en | catalytic | |
dcterms.sourcetitle | Algorithms | |
dc.description.issue | iss. 7 | |
dc.description.volume | vol. 12 | |
dc.publisher.name | MDPI | |
dc.publisher.city | Basel | |
dc.identifier.doi | 2-s2.0-85069808371 | |
dc.identifier.doi | 000478578100020 | |
dc.identifier.doi | 10.3390/a12070133 | |
dc.identifier.elaba | 39534145 | |