Abstract
This paper introduces a pickup and delivery problem encountered in servicing of offshore oil and gas platforms in the Norwegian Sea. A single vessel must perform pickups and deliveries at several offshore platforms. All delivery demands originate at a supply base and all pickup demands are also destined to the base. The vessel capacity may never be exceeded along its route. In addition, the amount of space available for loading and unloading operations is limited at each platform. The problem, called the Single Vehicle Pickup and Delivery Problem with Capacitated Customers consists of designing a least cost vehicle (vessel) route starting and ending at the depot (base), visiting each customer (platform), and such that there is always sufficient capacity in the vehicle and at the customer location to perform the pickup and delivery operations. This paper describes several construction heuristics as well as a tabu search algorithm. Computational results are presented.
Similar content being viewed by others
References
Aas B, Gribkovskaia I, Halskau Ø Sr and Shlopak A (2007). Routing of supply vessels to petroleum installations. Int J Phys Distrib Logist Mngt 37: 164–179.
Cordeau J-F, Laporte G and Mercier A (2001). A unified tabu search heuristic for vehicle routing problems with time windows. J Opl Res Soc 52: 928–936.
Desrochers M and Laporte G (1991). Improvements and extensions to the Miller–Tucker–Zemlin subtour elimination constraints. Opns Res Lett 10: 27–36.
Gendreau M, Laporte G and Vigo D (1999). Heuristics for the traveling salesman problem with pickup and delivery. Comput Opns Res 26: 699–714.
Glover F (1986). Future paths for integer programming and links to artificial intelligence. Comput Opns Res 13: 533–549.
Gribkovskaia I, Halskau Ø Sr, Laporte G and Vlc̆ek M (2007). General solutions to the single vehicle routing problem with pickups and deliveries. Eur J Opl Res 180: 568–584.
Hoff A and Løkketangen A (2006). Creating lasso-solutions for the traveling salesman problem with pickup and delivery by tabu search. Central European J Opns Res 14: 125–140.
Hoff A, Laporte G, Løkketangen A and Gribkovskaia I (2006). Lasso solution strategies for the vehicle routing problem with pickups and deliveries. Eur J Opl Res, submitted for publication.
Mole RH and Jameson SR (1976). A sequential route-building algorithm employing a generalized savings criterion. Opl Res Quart 27: 503–511.
Mosheiov G (1994). The travelling salesman problem with pick-up and delivery. Eur J Opl Res 79: 299–310.
Nagy G and Salhi S (2005). Heuristic algorithms for single and multiple depot vehicle routing problems with pickups and deliveries. Eur J Opl Res 162: 126–141.
Rosenkrantz D, Stearns R and Lewis P (1977). An analysis of several heuristics for the traveling salesman problem. SIAM J Comput 6: 563–581.
Acknowledgements
This work was partly supported by the Norwegian Research Council and by the Natural Sciences and Engineering Research Council of Canada (NSERC) under grant 39682-05. This support is gratefully acknowledged. Thanks are also due to Bjørnar Aas who introduced the problem to the authors and provided valuable information, and to two referees for their valuable comments.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Gribkovskaia, I., Laporte, G. & Shlopak, A. A tabu search heuristic for a routing problem arising in servicing of offshore oil and gas platforms. J Oper Res Soc 59, 1449–1459 (2008). https://doi.org/10.1057/palgrave.jors.2602469
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1057/palgrave.jors.2602469