Markov Property Analysis of the Real-World Driving Data and Its Application
Main Article Content
Abstract
There are a number of methods that can be used for the development of a driving cycle. Among them, the Markov chain is a promising approach which has been being widely studied in recent years in many developed countries but still is scarce in Vietnam. In this study, the real-world driving data of bus system in Hanoi are proved to be a stationary time-series and have the Markov property, based on the analysis of random number series which are the values of instantaneous speed of the bus recorded by the GPS in a whole bus route. The typical driving cycle of the bus route No.9 was then developed based on this finding. The developed cycle was assessed in the comparison with the on – road driving data. A good conformity of this driving cycle with the real –world driving data was observed.
Keywords
Markov chain, stationary series, driving cycle, Hanoi bus, emission factor
Article Details
References
[1]. Tong H. Y., H. D. Tung, W. T. Hung,H. V. Nguyen, Development of driving cycles for motorcycles and light-duty vehicles in Vietnam, Atmospheric Environment, 45 (2011) 5191-5199.
[2]. Le T. A., T. M. Pham, T. T. Nguyen,V. D. Nguyen, Measurements of Emission factors and Fuel Consumption for Motocycles on a Chassis Dynamometer based on a localized driving cycle, ASEAN Engineering Journal, part C, 1 (2012) 74-86.
[3]. Lin J.,D. A. Niemeier, Estimating Regional Air Quality Vehicle Emission Inventories: Constructing Robust Driving Cycles, Transport Science, 37 (2003) 330-346.
[4]. Shi S., N. Lin, Y. Zhan, J. Cheng, C. Huang, L. Liu,B. Lu, Research on Markov property analysis of driving cycles and its application, Transportation Research Part D, 47 (2016) pp. 171-181.
[5]. Brady J.,M. O.Mahony, The development of a driving cycle for the greater Dublin area using a large database of driving data with a stochastic and statistical methodology, Proceedings of the ITRN2013, (2013)
[6]. Ashtari A., E. Bibeau,S. Shahidinejad, Using Large Driving Record Samples and a Stochastic Approach for Real-World Driving Cycle Construction: Winnipeg Driving Cycle Transportation Science, 48 (2014) pp.170 - 183.
[7]. Lee T.-K.,Z. S. Filipi, Synthesis of real-world driving cycles using stochastic process and statistical methodology, International Journal of Vehicle Design, 57 (2011) p.17-36.
[8]. Tong H. Y.,W.T.Hung, A Framework for Developing Driving Cycles with On-Road Driving Data, Transport Reviews: A Transnational Transdisciplinary Journal, 30 (2010) 589-615.
[9]. Niemeier D. A., T. Limanond,J. E. Morey, Data collection for driving cycle development: evaluation of data collection protocols, Department of Civil and Environmental Engineering, Institute of Transportation Studies, University of California, Davis (1999).
[10]. Gujarati D. N., Basic Econometrics, Fourth Edition, McGraw–Hill (2004).
[11]. Önnegren E. T. o. P., Driving cycle generation using statistical analysis and Markov chain, Department of Electrical Engineering, Likopings University, Sweden (2013).
[2]. Le T. A., T. M. Pham, T. T. Nguyen,V. D. Nguyen, Measurements of Emission factors and Fuel Consumption for Motocycles on a Chassis Dynamometer based on a localized driving cycle, ASEAN Engineering Journal, part C, 1 (2012) 74-86.
[3]. Lin J.,D. A. Niemeier, Estimating Regional Air Quality Vehicle Emission Inventories: Constructing Robust Driving Cycles, Transport Science, 37 (2003) 330-346.
[4]. Shi S., N. Lin, Y. Zhan, J. Cheng, C. Huang, L. Liu,B. Lu, Research on Markov property analysis of driving cycles and its application, Transportation Research Part D, 47 (2016) pp. 171-181.
[5]. Brady J.,M. O.Mahony, The development of a driving cycle for the greater Dublin area using a large database of driving data with a stochastic and statistical methodology, Proceedings of the ITRN2013, (2013)
[6]. Ashtari A., E. Bibeau,S. Shahidinejad, Using Large Driving Record Samples and a Stochastic Approach for Real-World Driving Cycle Construction: Winnipeg Driving Cycle Transportation Science, 48 (2014) pp.170 - 183.
[7]. Lee T.-K.,Z. S. Filipi, Synthesis of real-world driving cycles using stochastic process and statistical methodology, International Journal of Vehicle Design, 57 (2011) p.17-36.
[8]. Tong H. Y.,W.T.Hung, A Framework for Developing Driving Cycles with On-Road Driving Data, Transport Reviews: A Transnational Transdisciplinary Journal, 30 (2010) 589-615.
[9]. Niemeier D. A., T. Limanond,J. E. Morey, Data collection for driving cycle development: evaluation of data collection protocols, Department of Civil and Environmental Engineering, Institute of Transportation Studies, University of California, Davis (1999).
[10]. Gujarati D. N., Basic Econometrics, Fourth Edition, McGraw–Hill (2004).
[11]. Önnegren E. T. o. P., Driving cycle generation using statistical analysis and Markov chain, Department of Electrical Engineering, Likopings University, Sweden (2013).