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Vehicle routing in the 1-skip collection problem

Author

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  • C Archetti

    (University of Brescia)

  • M G Speranza

    (University of Brescia)

Abstract

In this paper, we consider a real problem, which we call the 1-skip collection problem, where a fleet of vehicles must collect a number of skips situated in different locations and transport them to one among different plants chosen on the basis of the kind of waste contained in the skip. Each vehicle has a capacity of one skip and it starts and ends its tour at the depot. Each time a vehicle collects a skip, it has to go to a plant and empty it. A number of constraints are imposed, which involve time windows for the customers and the plants, shift-time, different kinds of skips, number of drivers available to carry out the service and priorities assigned to the customers who have to be served. The objective is to minimize the total cost of the service given by the fixed cost of the drivers engaged to carry out the service, the cost of the extra time and the penalty cost paid if a customer is not served. A heuristic algorithm to solve the real problem is presented. The algorithm first constructs a feasible solution by means of the nearest-neighbour algorithm. Then, if it finds a feasible solution, it improves it. The computational results show that the solution of the algorithm is much better than the solution applied by the firm that carries out the service since it serves a higher number of skips with a smaller number of drivers.

Suggested Citation

  • C Archetti & M G Speranza, 2004. "Vehicle routing in the 1-skip collection problem," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 55(7), pages 717-727, July.
    • Handle: RePEc:pal:jorsoc:v:55:y:2004:i:7:d:10.1057_palgrave.jors.2601743
    DOI: 10.1057/palgrave.jors.2601743
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    References listed on IDEAS

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    1. Angelelli, Enrico & Grazia Speranza, Maria, 2002. "The periodic vehicle routing problem with intermediate facilities," European Journal of Operational Research, Elsevier, vol. 137(2), pages 233-247, March.
    2. E Angelelli & M G Speranza, 2002. "The application of a vehicle routing model to a waste-collection problem: two case studies," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 53(9), pages 944-952, September.
    3. Lawrence Bodin & Aristide Mingozzi & Roberto Baldacci & Michael Ball, 2000. "The Rollon–Rolloff Vehicle Routing Problem," Transportation Science, INFORMS, vol. 34(3), pages 271-288, August.
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    Cited by:

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    2. Berbotto, Leonardo & García, Sergio & Nogales, Francisco J., 2011. "A vehicle routing model with split delivery and stop nodes," DES - Working Papers. Statistics and Econometrics. WS ws110906, Universidad Carlos III de Madrid. Departamento de Estadística.
    3. Roberto Aringhieri & Maurizio Bruglieri & Federico Malucelli & Maddalena Nonato, 2018. "A Special Vehicle Routing Problem Arising in the Optimization of Waste Disposal: A Real Case," Transportation Science, INFORMS, vol. 52(2), pages 277-299, March.
    4. Bogh, Morten Bie & Mikkelsen, Hardy & Wøhlk, Sanne, 2014. "Collection of recyclables from cubes – A case study," Socio-Economic Planning Sciences, Elsevier, vol. 48(2), pages 127-134.
    5. Leonardo Berbotto & Sergio García & Francisco Nogales, 2014. "A Randomized Granular Tabu Search heuristic for the split delivery vehicle routing problem," Annals of Operations Research, Springer, vol. 222(1), pages 153-173, November.
    6. Vera C. Hemmelmayr & Karl F. Doerner & Richard F. Hartl & Daniele Vigo, 2014. "Models and Algorithms for the Integrated Planning of Bin Allocation and Vehicle Routing in Solid Waste Management," Transportation Science, INFORMS, vol. 48(1), pages 103-120, February.
    7. Wy, Juyoung & Kim, Byung-In & Kim, Seongbae, 2013. "The rollon–rolloff waste collection vehicle routing problem with time windows," European Journal of Operational Research, Elsevier, vol. 224(3), pages 466-476.

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