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Implementation of origin-destination matrix estimation model for an urban public passenger transport route

https://doi.org/10.26518/2071-7296-2026-23-4-582-595

EDN: HBDIND

Abstract

Introduction. The relevance of this research stems from the need to quickly obtain information for calculations, particularly to study the regularities of passenger component in transport load. Currently, a major factor hindering successful forecasting in the field of passenger transportation is the insufficient implementation of models for estimating correspondence within urban passenger transport route networks via modern programming languages. The implementation of numerous methods at road transport enterprises is hindered by a severe lack of empirical survey data. Therefore, this study aims to implement a correspondence matrix estimation model for a public transport route as the basis for new data processing methods and algorithms, the use of specialized Python libraries enabling high performance computing without expensive equipment.

Materials and Methods. The data source for the experiment was a control tower equipped with the POTOK software package for monitoring passenger transportation. Primary data was collected from a BARS-01 T unit and Luch M.

Results. This study presents an efficient data processing method to estimate origin-destination matrices by integrating traffic flow reconstruction techniques with passenger flow data, using the least absolute deviations method to determine the optimal solution.

Robust optimization is proposed as an evaluation tool to address transport problems given inaccurate initial data. To solve the problem, the interior-point, simplex, revised simplex method, high-performance GHS, and dual simplex method algorithms from the Python package have been used.

Discussion and Conclusion. The extended functionality of this methodology reduces labor intensity in collecting passenger traffic data.

This study presents a practical model of evaluating matrices for public transport routes. This approach ensures the required measurement accuracy while reducing data collection costs, and supporting both transportation system planning and a broader functional assessment of urban areas.

About the Authors

A. Yu. Mikhailov
Irkutsk National Research Technical University
Russian Federation

Mikhailov Alexander Yu. - Doctor of Technical Sciences, Professor, Department of Motor Transport and Road Construction Machinery

83 Lermontov St., Irkutsk, 664074, Irkutsk region

Author ID: 385530, Scopus ID: 57193751842



O. A. Lebedeva
Angarsk State Technical University
Russian Federation

Lebedeva Olga A. - Candidate of Technical Sciences, Associate Professor, Department of Road Transport Management

665835, Irkutsk region, Angarsk, block 85a, 5

Author ID: 675968, Scopus ID: 57193747564



I. M. Eremina
Angarsk State Technical University
Russian Federation

Eremina Irina M. - Candidate of Technical Sciences, Associate Professor, Department of Computing machines and complexes

665835, Irkutsk region, Angarsk, block 85a, 5

Author ID: 680795, Scopus ID: 57221051522



References

1. Tishkova A.O., Parshakova K.A., Bondarenko N.S. i dr. Ustojchivost’ gorodskoj passazhirskoj avtotransportnoj sistemy. Transport Urala. 2025. № 1 (84). 72-77. (in Russ.) https://doi.org/10.20291/1815-9400-2025-1-72-77

2. Zajcev I.A. Nauchno-prakticheskie aspekty formirovaniya marshrutnoj seti passazhirskogo soobshcheniya // V sbornike: Fundamental’naya i prikladnaya nauka: nauchno-metodicheskie i prakticheskie aspekty. Sbornik nauchnyh trudov po materialam IV Mezhdunarodnoj nauchno-prakticheskoj konferencii. Anapa, 2025. S. 16-22. (in Russ.) https://doi.org/10.57112/2523-2523-2025-4-16-22

3. Pumbrasova N.V., Upadysheva E.V. Povyshenie effektivnosti passazhirskih perevozok v usloviyah primeneniya innovacionnyh sistem upravleniya transportnymi potokami. Nauchnye problemy vodnogo transporta. 2023. № 77:183-198. (in Russ.) https://doi.org/10.37890/jwt.vi77.412

4. Obshivalkin M.YU., Epifanov V.V., Generalova K.A. K voprosu udovletvorennosti passazhirov kachestvom perevozok na mezhmunicipal’nom transporte // V sbornike: Aktual’nye voprosy tekhnicheskoj ekspluatacii i avtoservisa podvizhnogo sostava avtomobil’nogo transporta. Sbornik nauchnyh trudov po materialam 83-j mezhdunarodnoj nauchno-metodicheskoj i nauchno-issledovatel’skoj konferencii MADI. Moskva, 2025. S. 24-29. (in Russ.) https://doi.org/10.31992/978-5-7996-2025-24-29

5. Konovalova T.V., Rassoha V.I., Lebedev E.A., Mirotin L.B., Nadiryan S.L., Soskova V.V. Avtomatizirovannaya sistema postroeniya matricy passazhirskih korrespondencij naseleniya na primere g. Krasnodara. Transport: nauka, tekhnika, upravlenie. Nauchnyj informacionnyj sbornik. 2024. № 12. S. 40-46. (in Russ.) https://doi.org/10.36535/0236-1914-2024-12-40-46

6. SHtukaturova E.S., YAkunin N.N. Gravitacionnye modeli v ocenke transportnogo sprosa prigorodnyh passazhirskih perevozok: teoreticheskie osnovy, metody primeneniya// V sbornike: Progressivnye tekhnologii v transportnyh sistemah. Materialy XX Mezhdunarodnoj nauchno-prakticheskoj konferencii. Orenburg, 2025. S. 415-420. (in Russ.) https://doi.org/10.51915/9785741033456_415

7. Martynenko A.V., Sajfutdinov D.ZH. Adekvatnost‘ gravitacionnoj modeli dlya zheleznodorozhnyh passazhiropotokov. Mir transporta. 2023. T. 21. № 1 (104). S. 75-86. (in Russ.) https://doi.org/10.30932/1992-3252-2023-21-1-9

8. Fadeev A.I., Il’yankov A.M., Ukaderov V.V. Raspredelenie korrespondencij po seti v zadachah proektirovaniya perevozok gorodskim passazhirskim transportom obshchego pol’zovaniya. Vestnik Sibirskogo gosudarstvennogo avtomobil’no-dorozhnogo universiteta. 2023. T. 20. № 3 (91). S. 362-386. (in Russ.) https://doi.org/10.26518/2071-7296-2023-20-3-362-386

9. Korchagin D.S., Pomorcev D.V., Evtyukov S.S. Intellektual’nyj analiz dannyh o marshrutnoj seti gorodskogo obshchestvennogo passazhirskogo transporta. Mir transporta i tekhnologicheskih mashin. 2025. № 3-2 (90). S. 116-125. (in Russ.) https://doi.org/10.33979/2073-7432-2025-3-2(90)-116-125

10. Bulycheva N.V., Losin L.A. Rol’ informacionnogo obespecheniya v modelyah prognozirovaniya potokov passazhirov i transporta. Ekonomika Severo-Zapada: problemy i perspektivy razvitiya. 2023. № 3 (74). S. 97-104. (in Russ.) https://doi.org/10.52897/2411-4588-2023-3-97-104

11. Losin L.A. Issledovanie skhodimosti matric mezhrajonnyh korrespondencii v gravitacionnoj modeli // V sbornike: Problemy preobrazovaniya i regulirovaniya regional’nyh social’no-ekonomicheskih sistem. Sbornik nauchnyh trudov. Sankt-Peterburg, 2024. S. 62-68. (in Russ.) https://doi.org/10.37614/2220-802X.3.2024.83.006

12. Ahromeshin A.V., Pyshnyj V.A. Primenenie gravitacionnogo podhoda k resheniyu transportnyh zadach. Tekhnika i tekhnologiya transporta. 2024. T. 32. № 1. (in Russ.) https://doi.org/10.52151/2311-0678-2024-32-1-14

13. Shvecova E.V., SHut‘ V.N. Algoritm organizacii perevozok na osnove kriticheskogo elementa matricy korrespondencij. Transport Urala. 2023. № 2 (77). S. 34-40. (in Russ.) https://doi.org/10.20291/1815-9400-2023-2-34-40

14. Leurent F., Sun D., Xie X. On heterogenous sampling rates in origin–destination matrix estimation based on trajectory data and link counts. Transportation Research Record. 2023. T. 2677. № 1. S. 1169-1180. https://doi.org/10.1177/03611981221105051

15. Lu C.-C., Zhou X., Zhang K.: Dynamic origin–destination demand flow estimation under congested traffic conditions. Transp. Res. Part C Emerging Technol. 34, 16–37 (2013). https://doi.org/10.1016/j.trc.2013.05.006

16. Maher M.J., Zhang X., Van Vliet D.: A bi-level programming approach for trip matrix estimation and traffic control problems with stochastic user equilibrium link flows. Transp. Res. Part B Methodol. 35(1), 23–40 (2001). https://doi.org/10.1016/s0191-2615(00)00017-5

17. Yang X., Lu Y., Hao W.: Origin-destination estimation using probe vehicle trajectory and link counts. J. Adv. Transp. (2017). https://doi.org/10.1155/2017/4341532

18. Vahidi M., Shafahi Y. Time-dependent estimation of origin–destination matrices using partial path data and link counts. Transportation. 2023. https://doi.org/10.1007/s11116-023-10385-z

19. Balakrishna R., Ben-Akiva M., Koutsopou-los H.N.: Time-dependent origindestination estimation without assignment matrices. Transp. Simul. Beyond Tradit. Approaches (2019). https://doi.org/10.1201/9780429093258-12

20. Barceló J., Montero L., Bullejos M., Serch O., Carmona C.: A kalman filter approach for exploiting bluetooth traffic data when estimating time-dependent od matrices. J. Intell. Transp. Syst. 17(2), 123–141 (2013). https://doi.org/10.1080/15472450.2013.764793


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For citations:


Mikhailov A.Yu., Lebedeva O.A., Eremina I.M. Implementation of origin-destination matrix estimation model for an urban public passenger transport route. The Russian Automobile and Highway Industry Journal. 2026;23(4):582-595. (In Russ.) https://doi.org/10.26518/2071-7296-2026-23-4-582-595. EDN: HBDIND

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ISSN 2071-7296 (Print)
ISSN 2658-5626 (Online)