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Routing helicopters for crew exchanges on off-shore locations

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  • Gerard Sierksma
  • Gert Tijssen

Abstract

This paper deals with a vehicle routing problem with split demands, namely the problem of determining a flight schedule for helicopters to off-shore platform locations for exchanging crew people employed on these platforms. The problem is formulated as an LP model and solved by means of a column-generation technique including solving TSP problems. Since the final solution needs to be integral, we have chosen a rounding procedure to obtain an integer solution. Since the LP approach needs a considerable amount of computer time, it is only suitable for long-term planning practices. For the usual short-term planning, we have designed the so-called Cluster-and-Route Heuristic together with a number of improvement heuristics. The Cluster-and-Route procedure constructs a suitable clustering of the platforms and simultaneously forms the routes of the helicopter flights associated with the clusters. This approach is different from the usual heuristics, in which the clusters are constructed first, and the routes for each cluster are made afterwards. Simulations with various data sets show that the new heuristic outperforms the usual heuristics for vehicle routing problems. Even better results are obtained when improvement heuristics are applied. We use four improvement heuristics, including, so-called 1-opt and 2-opt procedures. Copyright Kluwer Academic Publishers 1998

Suggested Citation

  • Gerard Sierksma & Gert Tijssen, 1998. "Routing helicopters for crew exchanges on off-shore locations," Annals of Operations Research, Springer, vol. 76(0), pages 261-286, January.
  • Handle: RePEc:spr:annopr:v:76:y:1998:i:0:p:261-286:10.1023/a:1018900705946
    DOI: 10.1023/A:1018900705946
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    Citations

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    Cited by:

    1. Maciek Nowak & Özlem Ergun & Chelsea C. White, 2008. "Pickup and Delivery with Split Loads," Transportation Science, INFORMS, vol. 42(1), pages 32-43, February.
    2. Jin, Mingzhou & Liu, Kai & Bowden, Royce O., 2007. "A two-stage algorithm with valid inequalities for the split delivery vehicle routing problem," International Journal of Production Economics, Elsevier, vol. 105(1), pages 228-242, January.
    3. C. Archetti & M. G. Speranza & A. Hertz, 2006. "A Tabu Search Algorithm for the Split Delivery Vehicle Routing Problem," Transportation Science, INFORMS, vol. 40(1), pages 64-73, February.
    4. Gizem Ozbaygin & Oya Karasan & Hande Yaman, 2018. "New exact solution approaches for the split delivery vehicle routing problem," EURO Journal on Computational Optimization, Springer;EURO - The Association of European Operational Research Societies, vol. 6(1), pages 85-115, March.
    5. Navarre, Jeremy T. & Frazier, Jeremy A., 2022. "Econometric analysis of factors influencing commercial helicopter operators’ stock returns in the gulf of Mexico," Journal of Air Transport Management, Elsevier, vol. 99(C).
    6. C. Archetti & M. Bouchard & G. Desaulniers, 2011. "Enhanced Branch and Price and Cut for Vehicle Routing with Split Deliveries and Time Windows," Transportation Science, INFORMS, vol. 45(3), pages 285-298, August.
    7. Barbarosoglu, Gulay & Ozdamar, Linet & Cevik, Ahmet, 2002. "An interactive approach for hierarchical analysis of helicopter logistics in disaster relief operations," European Journal of Operational Research, Elsevier, vol. 140(1), pages 118-133, July.
    8. Hertz, Alain & Uldry, Marc & Widmer, Marino, 2012. "Integer linear programming models for a cement delivery problem," European Journal of Operational Research, Elsevier, vol. 222(3), pages 623-631.
    9. Lee, Chi-Guhn & Epelman, Marina A. & White III, Chelsea C. & Bozer, Yavuz A., 2006. "A shortest path approach to the multiple-vehicle routing problem with split pick-ups," Transportation Research Part B: Methodological, Elsevier, vol. 40(4), pages 265-284, May.
    10. 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.
    11. Claudia Archetti & M. Grazia Speranza & Martin W. P. Savelsbergh, 2008. "An Optimization-Based Heuristic for the Split Delivery Vehicle Routing Problem," Transportation Science, INFORMS, vol. 42(1), pages 22-31, February.
    12. Saman Eskandarzadeh & Reza Tavakkoli-Moghaddam & Amir Azaron, 2009. "An extension of the relaxation algorithm for solving a special case of capacitated arc routing problems," Journal of Combinatorial Optimization, Springer, vol. 17(2), pages 214-234, February.
    13. Guy Desaulniers, 2010. "Branch-and-Price-and-Cut for the Split-Delivery Vehicle Routing Problem with Time Windows," Operations Research, INFORMS, vol. 58(1), pages 179-192, February.
    14. Claudia Archetti & Martin W. P. Savelsbergh & M. Grazia Speranza, 2006. "Worst-Case Analysis for Split Delivery Vehicle Routing Problems," Transportation Science, INFORMS, vol. 40(2), pages 226-234, May.
    15. Qian, Fubin & Gribkovskaia, Irina & Laporte, Gilbert & Halskau sr., Øyvind, 2012. "Passenger and pilot risk minimization in offshore helicopter transportation," Omega, Elsevier, vol. 40(5), pages 584-593.
    16. Jeffrey W. Ohlmann & Michael J. Fry & Barrett W. Thomas, 2008. "Route Design for Lean Production Systems," Transportation Science, INFORMS, vol. 42(3), pages 352-370, August.
    17. Nowak, Maciek & Ergun, Ozlem & White III, Chelsea C., 2009. "An empirical study on the benefit of split loads with the pickup and delivery problem," European Journal of Operational Research, Elsevier, vol. 198(3), pages 734-740, November.
    18. J. M. Belenguer & M. C. Martinez & E. Mota, 2000. "A Lower Bound for the Split Delivery Vehicle Routing Problem," Operations Research, INFORMS, vol. 48(5), pages 801-810, October.
    19. Ann Campbell, 2006. "The Vehicle Routing Problem with Demand Range," Annals of Operations Research, Springer, vol. 144(1), pages 99-110, April.
    20. U Derigs & B Li & U Vogel, 2010. "Local search-based metaheuristics for the split delivery vehicle routing problem," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 61(9), pages 1356-1364, September.

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