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...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2021-11-01
|
| Series: | Applied Sciences |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2076-3417/11/21/10411 |
| _version_ | 1797411014731366400 |
|---|---|
| author | Klaudiusz Migawa Sylwester Borowski Andrzej Neubauer Agnieszka Sołtysiak |
| author_facet | Klaudiusz Migawa Sylwester Borowski Andrzej Neubauer Agnieszka Sołtysiak |
| author_sort | Klaudiusz Migawa |
| collection | DOAJ |
| 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. |
| first_indexed | 2024-03-09T04:38:52Z |
| format | Article |
| id | doaj.art-386f6d01b3124e57875884a29341b906 |
| institution | Directory Open Access Journal |
| issn | 2076-3417 |
| language | English |
| last_indexed | 2024-03-09T04:38:52Z |
| publishDate | 2021-11-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Applied Sciences |
| spelling | doaj.art-386f6d01b3124e57875884a29341b9062023-12-03T13:23:31ZengMDPI AGApplied Sciences2076-34172021-11-0111211041110.3390/app112110411Semi-Markov Model of the System of Repairs and Preventive Replacements by Age of City BusesKlaudiusz Migawa0Sylwester Borowski1Andrzej Neubauer2Agnieszka Sołtysiak3Faculty of Mechanical Engineering, UTP University of Science and Technology, Al. Prof. S. Kaliskiego 7, 85-796 Bydgoszcz, PolandFaculty of Mechanical Engineering, UTP University of Science and Technology, Al. Prof. S. Kaliskiego 7, 85-796 Bydgoszcz, PolandFaculty of Mechanical Engineering, UTP University of Science and Technology, Al. Prof. S. Kaliskiego 7, 85-796 Bydgoszcz, PolandFaculty of Mechanical Engineering, UTP University of Science and Technology, Al. Prof. S. Kaliskiego 7, 85-796 Bydgoszcz, PolandThe 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.https://www.mdpi.com/2076-3417/11/21/10411city busessemi-Markov processespreventive maintenancecorrective maintenanceage-replacementminimal repair |
| spellingShingle | Klaudiusz Migawa Sylwester Borowski Andrzej Neubauer Agnieszka Sołtysiak Semi-Markov Model of the System of Repairs and Preventive Replacements by Age of City Buses Applied Sciences city buses semi-Markov processes preventive maintenance corrective maintenance age-replacement minimal repair |
| title | 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_short | 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 |
| topic | city buses semi-Markov processes preventive maintenance corrective maintenance age-replacement minimal repair |
| url | https://www.mdpi.com/2076-3417/11/21/10411 |
| work_keys_str_mv | AT klaudiuszmigawa semimarkovmodelofthesystemofrepairsandpreventivereplacementsbyageofcitybuses AT sylwesterborowski semimarkovmodelofthesystemofrepairsandpreventivereplacementsbyageofcitybuses AT andrzejneubauer semimarkovmodelofthesystemofrepairsandpreventivereplacementsbyageofcitybuses AT agnieszkasołtysiak semimarkovmodelofthesystemofrepairsandpreventivereplacementsbyageofcitybuses |