Skip to main content

Advertisement

Log in

Model and algorithm for bi-fuel vehicle routing problem to reduce GHG emissions

  • Research Article
  • Published:
Environmental Science and Pollution Research Aims and scope Submit manuscript

Abstract

Because of the harmful effects of greenhouse gas (GHG) emitted by petroleum-based fuels, the adoption of alternative green fuels such as biodiesel and compressed natural gas (CNG) is an inevitable trend in the transportation sector. However, the transition to alternative fuel vehicle (AFV) fleets is not easy and, particularly at the beginning of the transition period, drivers may be forced to travel long distances to reach alternative fueling stations (AFSs). In this paper, the utilization of bi-fuel vehicles is proposed as an operational approach. We present a mathematical model to address vehicle routing problem (VRP) with bi-fuel vehicles and show that the utilization of bi-fuel vehicles can lead to a significant reduction in GHG emissions. Moreover, a simulated annealing algorithm is adopted to solve large instances of this problem. The performance of the proposed algorithm is evaluated on some random instances.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4

Similar content being viewed by others

References

  • Bisschop J (2012) AIMMS—optimization modeling. Paragon Decision Technology, Harlem http://www.aimms.com

    Google Scholar 

  • Capar I, Kuby M, Leon VJ, Tsai YJ (2013) An arc cover–path-cover formulation and strategic analysis of alternative-fuel station locations. Eur J Oper Res 227(1):142–151

    Article  Google Scholar 

  • Černý V (1985) Thermodynamical approach to the traveling salesman problem: an efficient simulation algorithm. J Optim Theory Appl 45(1):41–51

    Article  Google Scholar 

  • Clarke G, & Wright JW (1964) Scheduling of vehicle from central depot to a number of delivery points. Oper Res (12), 568–581

  • Dantzig GB, Ramser JH (1959) The truck dispatching problem. Manag Sci 6(1):80–91

    Article  Google Scholar 

  • Directive (EU) 2015/1513 (2015) Directive (EU) 2015/1513 of the European parliament and of the council. Official Journal of the European Union

  • Directive 2009/29/EC (2009) Directive 2009/29/EC of the European parliament and of the council of 23 April 2009 amending Directive 2003/87/EC so as to improve and extend the greenhouse gas emission allowance trading scheme of the community. Official JournaloftheEuropeanUnion

  • Erdoğan S, Miller-Hooks E (2012) A green vehicle routing problem. Transp Res E 48(1):100–114

    Article  Google Scholar 

  • Felipe A, Ortuño MT, Righini G, Tirado G (2014) A heuristic approach for the green vehicle routing problem with multiple technologies and partial recharges. Transp Res E 71:111–128

    Article  Google Scholar 

  • Hosseini M, MirHassani SA (2015) A heuristic algorithm for optimal location of flow-refueling capacitated stations. Int Trans Oper Res. doi:10.1111/itor.12209, 1–27

  • ILOG (2011) ILOG CPLEX 12.4 User's manual. http://www.ilog.com/products/cplex

  • Kirkpatrick S, Gelatt CD, Vecchi MP (1983) Optimization by simulated annealing. Science 220(4598):671–680

    Article  CAS  Google Scholar 

  • Koç Ç, & Karaoglan I (2016) The green vehicle routing problem: a heuristic based exact solution approach. Appl Soft Comput, 154–164

  • Kuo Y (2010) Using simulated annealing to minimize fuel consumption for the time-dependent vehicle routing problem. Comput Ind Eng 59(1):157–165

    Article  Google Scholar 

  • Laporte G (2009) Fifty years of vehicle routing. Transp Sci 43(4):408–416

    Article  Google Scholar 

  • Lin C, Choy KL, Ho GT, Chung SH, Lam HY (2014) Survey of green vehicle routing problem: past and future trends. Expert Syst Appl 41(4):1118–1138

    Article  Google Scholar 

  • Melaina MW, Bremson J (2008) Refueling availability for alternative fuel vehicle markets: sufficient urban station coverage. Energy Policy 36(8):3223–3231

    Article  Google Scholar 

  • MirHassani SA, Ebrazi R (2012) A flexible reformulation of the refueling station location problem. Transp Sci 47(4):617–628

    Article  Google Scholar 

  • MirHassani SA, Mohammadyari S (2014) Reduction of carbon emissions in VRP by gravitational search algorithm. Manag Environ Qual: An Int J 25(6):766–782

    Article  Google Scholar 

  • Pasaoglu G, Honselaar M, Thiel C (2012) Potential vehicle fleet CO2 reductions and cost implications for various vehicle technology deployment scenarios in Europe. Energy Policy 40:404–421

    Article  CAS  Google Scholar 

  • Roy RK (2001) Design of experiments using the Taguchi approach: 16 steps to product and process improvement. Wiley

  • Salimifard K., Shahbandarzaden, H., & Raeesi, R. (2012) Green transportation and the role of operation research. 2012 International conference on traffic and transportation engineering. Singapore

  • Schneider M, Stenger A, Goeke D (2014) The electric vehicle-routing problem with time windows and recharging stations. Transp Sci 48(4):500–520

    Article  Google Scholar 

  • Suman B, Kumar P (2006) A survey of simulated annealing as a tool for single and multiobjective optimization. J Oper Res Soc 57:1143–1160

    Article  Google Scholar 

  • Toth P, & Vigo D (Eds.). (2014) Vehicle routing: problems, methods, and applications. Philadelphia, Monographs on discrete mathematics and applications: MOS-SIAM Series on Optimization

  • Xiao Y, Zhao Q, Kaku I, Xu Y (2012) Development of a fuel consumption optimization model for the capacitated vehicle routing problem. Comput Oper Res 39(7):1419–1431

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Seyed Ali MirHassani.

Additional information

Responsible editor: Marcus Schulz

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Abdoli, B., MirHassani, S.A. & Hooshmand, F. Model and algorithm for bi-fuel vehicle routing problem to reduce GHG emissions. Environ Sci Pollut Res 24, 21610–21624 (2017). https://doi.org/10.1007/s11356-017-9740-8

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11356-017-9740-8

Keywords

Navigation