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A General Vehicle Routing Problem

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  • Goel, Asvin
  • Gruhn, Volker

Abstract

In this paper, we study a rich vehicle routing problem incorporating various complexities found in real-life applications. The General Vehicle Routing Problem (GVRP) is a combined load acceptance and generalised vehicle routing problem. Among the real-life requirements are time window restrictions, a heterogeneous vehicle fleet with different travel times, travel costs and capacity, multi-dimensional capacity constraints, order/vehicle compatibility constraints, orders with multiple pickup, delivery and service locations, different start and end locations for vehicles, and route restrictions for vehicles. The GVRP is highly constrained and the search space is likely to contain many solutions such that it is impossible to go from one solution to another using a single neighbourhood structure. Therefore, we propose iterative improvement approaches based on the idea of changing the neighbourhood structure during the search.

Suggested Citation

  • Goel, Asvin & Gruhn, Volker, 2008. "A General Vehicle Routing Problem," European Journal of Operational Research, Elsevier, vol. 191(3), pages 650-660, December.
  • Handle: RePEc:eee:ejores:v:191:y:2008:i:3:p:650-660
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    Citations

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    Cited by:

    1. Schneider, M., 2016. "The vehicle-routing problem with time windows and driver-specific times," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 65941, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
    2. Pillac, Victor & Gendreau, Michel & Guéret, Christelle & Medaglia, Andrés L., 2013. "A review of dynamic vehicle routing problems," European Journal of Operational Research, Elsevier, vol. 225(1), pages 1-11.
    3. Xu, Liang & Xu, Zhou & Xu, Dongsheng, 2013. "Exact and approximation algorithms for the min–max k-traveling salesmen problem on a tree," European Journal of Operational Research, Elsevier, vol. 227(2), pages 284-292.
    4. Lahyani, Rahma & Khemakhem, Mahdi & Semet, Frédéric, 2015. "Rich vehicle routing problems: From a taxonomy to a definition," European Journal of Operational Research, Elsevier, vol. 241(1), pages 1-14.
    5. Michael Brusco & Renu Singh & Douglas Steinley, 2009. "Variable Neighborhood Search Heuristics for Selecting a Subset of Variables in Principal Component Analysis," Psychometrika, Springer;The Psychometric Society, vol. 74(4), pages 705-726, December.
    6. Ding, Honglin & Li, Jianping & Lih, Ko-Wei, 2014. "Approximation algorithms for solving the constrained arc routing problem in mixed graphs," European Journal of Operational Research, Elsevier, vol. 239(1), pages 80-88.
    7. Chen, Haoxun, 2016. "Combinatorial clock-proxy exchange for carrier collaboration in less than truck load transportation," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 91(C), pages 152-172.
    8. Qiu, Xiaoqiu & Feuerriegel, Stefan & Neumann, Dirk, 2017. "Making the most of fleets: A profit-maximizing multi-vehicle pickup and delivery selection problem," European Journal of Operational Research, Elsevier, vol. 259(1), pages 155-168.
    9. Goel, Asvin & Meisel, Frank, 2013. "Workforce routing and scheduling for electricity network maintenance with downtime minimization," European Journal of Operational Research, Elsevier, vol. 231(1), pages 210-228.
    10. Zhang, Ruiyou & Lu, Jye-Chyi & Wang, Dingwei, 2014. "Container drayage problem with flexible orders and its near real-time solution strategies," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 61(C), pages 235-251.
    11. Vidal, Thibaut & Crainic, Teodor Gabriel & Gendreau, Michel & Prins, Christian, 2014. "Implicit depot assignments and rotations in vehicle routing heuristics," European Journal of Operational Research, Elsevier, vol. 237(1), pages 15-28.
    12. repec:spr:ijsaem:v:9:y:2018:i:1:d:10.1007_s13198-016-0493-4 is not listed on IDEAS
    13. repec:eee:ejores:v:263:y:2017:i:3:p:737-754 is not listed on IDEAS
    14. Schneider, Michael, 2016. "The vehicle-routing problem with time windows and driver-specific times," European Journal of Operational Research, Elsevier, vol. 250(1), pages 101-119.
    15. repec:eee:transb:v:101:y:2017:i:c:p:162-184 is not listed on IDEAS

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