MATHEMATICAL MODELS OF ROAD CONSTRUCTION, RECONSTRUCTION AND REPAIR UNDER CONDITIONS OF UNCERTAINTY
DOI:
https://doi.org/10.24025/2306-4412.3.2023.287845Keywords:
mathematical model, motor transport, roadway, critical area, nondestructive inspection method, condition of uncertaintyAbstract
The article highlights the importance of mathematical modeling in road construction, reconstruction, and repair in Ukraine. We can outline the importance of this research by taking into account such factors as financial instability and financial uncertainty, as well as the importance to comply with safety standards during any road-related maintenance work. We would also like to point out that there is an increasing need for new tools for optimization and improvement of construction operations. This need exists both due to factors of uncertainty, such as climatic anomalies, dynamics of road traffic, and technological progress in construction, as well as due to numerous social challenges that result in an increase in traffic load, for instance, an ongoing military conflict. The main goal of our research is to implement mathematical modeling into different phases of any road-related maintenance work, from planning to executing, under conditions of limited finances. Achieving the aforementioned goal will allow to improve assessing and repairing the critical areas and will also improve the choice of optimal nondestructive inspection methods for identifying any damage in road coating and infrastructure. To achieve this goal, we use methods of statistical and system analysis, multi-criteria optimization, and decision-making theory. The main emphasis is on the development of strategic management decisions and their effectiveness. We have managed to prove that the use of mathematical modeling during the planning phase of any road works allows us to effectively distribute the available financial resources even if they are limited. This practice also makes it possible to dynamically alter the volumes of funding depending on expert analysis of the importance or project completion status. Upon completion of the initial planning stage, which includes repairing all critical areas of the road in order to minimize the risk of road traffic accidents and using methods of increased safety, we have managed to develop a plan with concrete steps. Following the aforementioned steps allows us to reduce a total number of road traffic accidents occurring in critical areas by 1.4-1.6 times. These results are possible to achieve without going over the established financial restrictions. We have also developed criteria for assessing the quality of damage identification on the road coating. These criteria are based on the defect detection rate. We have provided a detailed explanation of how this rate can increase from 0,891 to 0,967. Further scientific research conducted by the author of this paper will focus on a detailed analysis of the results of the implementation of illustrated mathematical models, especially as mathematical support of the analytical and information system for monitoring the state of road infrastructure.
References
Adesola, O.A., Olayemi, D., Delvin, K., & Gbenga, Ch. (2022). Applications of artificial intelligence (AI) in the construction industry: A review of observational studies. Applied Sciences Research Periodicals, 1(4), 42-52.
Babazadeh, A., Javani, B., Gentile, G., & Florian, M. (2021). Reduced gradient algorithm for user equilibrium traffic assignment problem, Transportmetrica A: Transport Science, 16, 1-26. Retrieved from http://doi.org/10.1080/23249935.2020.1722279.
Belyaev, A., Gordienko, V., Druzhinin, P., & Evtukov, S. (2020). Mathematical model for selecting the best technology for restoring road construction machines. In E3S Web of Conferences, 164, 03044. Retrieved from https://doi.org/10.1051/e3sconf/202016403044.
Browning, T.R. (2018). Planning, tracking, and reducing a complex project’s value at risk. Project Management Journal, 50(1), 71-85. Retrieved from https://doi.org/10.1177/8756972818810967.
Chen, Y., & Xiao, D. (2008). Emergency evacuation model and algorithms. J. Transport. Sys. En-g & IT, 8(6), 96-100.
Disclaimer: The Ukraine Rapid Damage and Needs Assessment – August 2022. (2022). The World Bank, the Government of Ukraine, and the European Commission. Retrieved from https://documents1.worldbank.org/curated/en/099445209072239810/pdf/P17884304837910630b9c6040ac12428d5c.pdf
Donchenko, M. (2022). Safety assessment of emergency systems. Scientific Journal of Polonia University, 53(4), 225-229.
Fredriksson, H. (2021). On the use of traffic flows for improved transportation systems: Mathematical modeling and applications. Karlskrona, Blekinge Tekniska Högskola. Retrieved from https://urn.kb.se/resolve?urn=urn:nbn:se:bth-22111.
Global Trends 2030: Alternative Worlds. (2012). National Intelligence Council, NIC 2012-001. Retrieved from www.dni.gov/nic/globaltrends.
Itani, I., Cassidy, M., & Daganzo, C. (2021). Synergies of combining demand- and supplyside measures to manage congested streets. Transportation Research Part A: Policy and Practice, 151, 172-179. Retrieved from http://doi.org/10.1016/j.tra.2021.07.002.
Kanin, A., Kharchenko, A. Tsybulskyi, V., Sokolova, N., & Shpyh, A. (2022). Construction of a simulation model for substantiating the parameters of long-term road maintenance contracts. Eastern-European Journal of Enterprise Technologies, 2(3), 116.
Kazeem, K.O., Timothy, O.O., & Temidayo, O. (2023). Roles of artificial intelligence and machine learning in enhancing construction processes and sustainable communities. Buildings, 13(8) 2061. Retrieved from https://doi.org/10.3390/buildings13082061.
Kharchenko, A., & Smirnov, A. (2023). Development of method for anti-ice materials consumption optimization during winter road maintenance. Technology audit and production reserves, 2(1), 70.
Markelova, A.Y., Allahverdyan, A.L., Martemyanov, A.A., Sokolova, I.S., Petrosian, O.L., & Svirkin, M.V. (2022). Applied routing problem for a fleet of delivery drones using a modified parallel genetic algorithm. Advances on Smart and Soft Computing, 225-233. Retrieved from http://dx.doi.org/10.1007/978-981-16-5559-3_19.
Markuts, Y., Andrienko, D., Studennikova, I., Marshalok, T., & Zadorozhnya, L. Draft Law on the State Budget for 2023: Key Features. Retrieved from https://kse.ua/wp-content/uploads/2022/09/Analiz-DBU-2023-1-chitannya.pdf.
Mi, J., Lu, N., Li, Y.F., Huang, H.Z., & Bai, L. (2022). An evidential network-based hierarchical method for system reliability analysis with common cause failures and mixed uncertainties. Reliability Engineering & System Safety, 220, 108295.
Muhammad, I., Khan, S.Z., Hassan, N., Hassan, M., Habib, M., Khan, S., & Khan, H.H. (2021). Role of project planning and project manager competencies on public sector project success. Sustainability, 13(3), 1421. Retrieved from https://doi.org/10.3390/su13031421.
On the report on the implementation of the Law of Ukraine "On the State Budget of Ukraine for 2022". Retrieved from https://ips.ligazakon.net/document/view/di09368a?an=2.
Onyshchenko, A.N., Lapchenko, A.S., Chyzhenko, N.P., & Voznyi, S.P. (2019). Evaluation of inflammatory concerns in cementbound and other cemento-layers of road clothing for care and health. Slovak international scientific journal, Slovakia, 27, 8-13. Retrieved from http://sis-journal.com/wp-content/uploads/2019/04/Slovak-international-scientific-journal-No27-2019.pdf.
Prokopev, A.P., Nabizhanov, Z.I., Ivanchura, V.I., & Emelyanov, R.T. (2019). Modeling the non-destructive control of road surfaces compaction. Journal of Physics: Conference Series, 1399(4), 044094.
Saaty, T.L. & Kearns, K.P. (1985). Analytical Planning: The Organization of Systems. Pergamon Press.
Scientific work of Department of transport construction and property management. (2023). July. Retrieved from https://sites.google.com/ntu.edu.ua/kafupr/%D0%BD%D0%B0%D1%83%D0%BA%D0%BE%D0%B2%D0%B0-%D1%80%D0%BE%D0%B1%D0%BE%D1%82%D0%B0?authuser=0.
Sereda, B., & Mykovska, D. (2023). Mathematical modeling of the efficiency indicator of the functioning of the transport and production system in the conditions of the quarry of a metallurgical enterprise. Transport Technologies, 4(1). Lviv. Retrieved from http://doi.org/10.23939/tt2023.01.048.
Shaikh, S.G., Mahajan, D.U., Shaikh, M.N.S., & Wadekar, A.P. (2022). Scientific study of asphalt road surface distress and their role in the design of flexible pavements, Int. J. Eng. Trends Technol, 70(1), 220-232.
Shvartsman, I. (2023). Compactification method in linear programming approach to infinitehorizon optimal control problems with a noncompact state constraint. Discrete and Continuous Dynamical Systems – B. Retrieved from http://doi.org/10.3934/dcdsb.2023087.
Sidliarenko, A.I. (2014). Model optimization of complex non-destructive testing methods for detecting damage in road coverage and roadside infrastructure. Bulletin of the National Technical University “KhPI”. A series of “Information and Modeling”, 62, 109-116. Retrieved from https://doi.org/10.20998%2F2411-0558.2014.62.12.
Somy, S., Shafaei, R., & Ramezanian, R. (2022). Resilience-based mathematical model to restore disrupted road-bridge transportation networks. Structure and Infrastructure Engineering, 18(9), 1334-1349, Retrieved from http://doi.org/10.1080/15732479.2021.1906711.
Vedmedenko, M. (2023). What did motorists "sin" in 2022: the ten most common causes of road accidents. Retrieved from https://polis.ua/uk/articles/Chym-hrishyly-avtomobilisty-u-202-rotsi-desyat-nayposhyrenishykh-prychyn-DTP.
Wang, S., Sui, X., Leng, Z., Jiang, J., & Lu, G. (2022). Asphalt pavement density measurement using non-destructive testing methods: Current practices, challenges, and future vision, Construction and Building Materials, 344, 128154.
Willar, D., Trigunarsyah, B., Dewi, A.A.D.P., & Makalew, F. (2023). Evaluating quality management of road construction projects: a Delphi study. The TQM Journal, 35(7), 2003-2027. Retrieved from https://doi.org/10.1108/TQM-04-2022-0132.
Wójcik, W., Pavlov, S., & Kalimoldayev, M. (Eds). (2021). Mechatronic Systems 1: Applications in Transport, Logistics, Diagnostics, and Control. Routledge.
Zhang, G., Hu, Y., Sun, J., & Zhang, W. (2020). An improved genetic algorithm for the flexible job shop scheduling problem with multiple time constraints. Swarm and Evolutionary Computation, 54, 100664.
Zolotukhin, S., Kukina, O., Artemova, E., Eremin, A., Volokitin, V., & Volokitina, O. (2021). New approaches to the development of construction technologies. In E3S Web of Conferences, 247, 01014. Retrieved from https://doi.org/10.1051/e3sconf/202124701014.
Downloads
Published
How to Cite
Issue
Section
URN
License
Copyright (c) 2023 Andrii Sidliarenko
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
The authors who publish in this journal agree to the following terms:The authors reserve the right to authorship of their work and give the journal the right to first publish this work under the terms of the Creative Commons Attribution License CC BY-NC, which allows other persons to freely distribute published work with a mandatory reference to authors of the original work and the first publication of the work in this journal.
Authors have the right to conclude separate additional agreements for the non-exclusive distribution of the paper in the form in which it was published by this journal (for example, posting work in electronic repository or publishing as part of a monograph), provided that the link to the first publication in this journal is maintained.
The journal policy allows and encourages authors to post on the Internet (for example, in repositories of institutions or on personal websites) the manuscript of work, both before the submission of this manuscript to the editorial staff, and during its editorial work, as it contributes to the emergence of productive scientific discussion and positively affects the efficiency and dynamics of published work citation (see The Effect of Open Access).
