Semi-Markov Model of the System of Repairs and Preventive Replacements by Age of City Buses
The paper presents a mathematical model of the system of repairs and preventive replacements by age of city buses. The mathematical model was developed using the theory of semi-Markov processes. In the model developed, four types of city bus renewal processes are considered and three types of correc...
Guardado en:
| Autores principales: | , , , |
|---|---|
| Formato: | article |
| Lenguaje: | EN |
| Publicado: |
MDPI AG
2021
|
| Materias: | |
| Acceso en línea: | https://doaj.org/article/386f6d01b3124e57875884a29341b906 |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| id |
oai:doaj.org-article:386f6d01b3124e57875884a29341b906 |
|---|---|
| record_format |
dspace |
| spelling |
oai:doaj.org-article:386f6d01b3124e57875884a29341b9062021-11-11T15:24:08ZSemi-Markov Model of the System of Repairs and Preventive Replacements by Age of City Buses10.3390/app1121104112076-3417https://doaj.org/article/386f6d01b3124e57875884a29341b9062021-11-01T00:00:00Zhttps://www.mdpi.com/2076-3417/11/21/10411https://doaj.org/toc/2076-3417The paper presents a mathematical model of the system of repairs and preventive replacements by age of city buses. The mathematical model was developed using the theory of semi-Markov processes. In the model developed, four types of city bus renewal processes are considered and three types of corrective repairs and preventive replacement. Corrective repairs are considered in two types: minimal repairs (repairs carried out by the Technical Service units) and perfect repairs (repairs carried out at the stations of the Service Station). The models of restoration systems that use semi-Markov processes in which minimal repairs, perfect repairs, and preventive replacements by age, have been examined in the literature to a limited extent. The system under consideration is analysed from the point of view of two criteria: profit per time unit and availability of city buses to carry out the assigned transport tasks. Conditions of criterion functions’ extremum (maximum) existence were formulated for the adopted assumptions. The considerations presented in the paper are illustrated by exemplary results of calculations.Klaudiusz MigawaSylwester BorowskiAndrzej NeubauerAgnieszka SołtysiakMDPI AGarticlecity busessemi-Markov processespreventive maintenancecorrective maintenanceage-replacementminimal repairTechnologyTEngineering (General). Civil engineering (General)TA1-2040Biology (General)QH301-705.5PhysicsQC1-999ChemistryQD1-999ENApplied Sciences, Vol 11, Iss 10411, p 10411 (2021) |
| institution |
DOAJ |
| collection |
DOAJ |
| language |
EN |
| topic |
city buses semi-Markov processes preventive maintenance corrective maintenance age-replacement minimal repair Technology T Engineering (General). Civil engineering (General) TA1-2040 Biology (General) QH301-705.5 Physics QC1-999 Chemistry QD1-999 |
| spellingShingle |
city buses semi-Markov processes preventive maintenance corrective maintenance age-replacement minimal repair Technology T Engineering (General). Civil engineering (General) TA1-2040 Biology (General) QH301-705.5 Physics QC1-999 Chemistry QD1-999 Klaudiusz Migawa Sylwester Borowski Andrzej Neubauer Agnieszka Sołtysiak Semi-Markov Model of the System of Repairs and Preventive Replacements by Age of City Buses |
| description |
The paper presents a mathematical model of the system of repairs and preventive replacements by age of city buses. The mathematical model was developed using the theory of semi-Markov processes. In the model developed, four types of city bus renewal processes are considered and three types of corrective repairs and preventive replacement. Corrective repairs are considered in two types: minimal repairs (repairs carried out by the Technical Service units) and perfect repairs (repairs carried out at the stations of the Service Station). The models of restoration systems that use semi-Markov processes in which minimal repairs, perfect repairs, and preventive replacements by age, have been examined in the literature to a limited extent. The system under consideration is analysed from the point of view of two criteria: profit per time unit and availability of city buses to carry out the assigned transport tasks. Conditions of criterion functions’ extremum (maximum) existence were formulated for the adopted assumptions. The considerations presented in the paper are illustrated by exemplary results of calculations. |
| format |
article |
| author |
Klaudiusz Migawa Sylwester Borowski Andrzej Neubauer Agnieszka Sołtysiak |
| author_facet |
Klaudiusz Migawa Sylwester Borowski Andrzej Neubauer Agnieszka Sołtysiak |
| author_sort |
Klaudiusz Migawa |
| title |
Semi-Markov Model of the System of Repairs and Preventive Replacements by Age of City Buses |
| title_short |
Semi-Markov Model of the System of Repairs and Preventive Replacements by Age of City Buses |
| title_full |
Semi-Markov Model of the System of Repairs and Preventive Replacements by Age of City Buses |
| title_fullStr |
Semi-Markov Model of the System of Repairs and Preventive Replacements by Age of City Buses |
| title_full_unstemmed |
Semi-Markov Model of the System of Repairs and Preventive Replacements by Age of City Buses |
| title_sort |
semi-markov model of the system of repairs and preventive replacements by age of city buses |
| publisher |
MDPI AG |
| publishDate |
2021 |
| url |
https://doaj.org/article/386f6d01b3124e57875884a29341b906 |
| work_keys_str_mv |
AT klaudiuszmigawa semimarkovmodelofthesystemofrepairsandpreventivereplacementsbyageofcitybuses AT sylwesterborowski semimarkovmodelofthesystemofrepairsandpreventivereplacementsbyageofcitybuses AT andrzejneubauer semimarkovmodelofthesystemofrepairsandpreventivereplacementsbyageofcitybuses AT agnieszkasołtysiak semimarkovmodelofthesystemofrepairsandpreventivereplacementsbyageofcitybuses |
| _version_ |
1718435359450202112 |