A survey on pickup and delivery problems

Sophie N. Parragh, Karl F. Doerner, Richard F. Hartl
2008 Journal für Betriebswirtschaft  
This paper is the first part of a comprehensive survey on pickup and delivery problems. Basically, two problem classes can be distinguished. The first class, discussed in this paper, deals with the transportation of goods from the depot to linehaul customers and from backhaul customers to the depot. This class is denoted as Vehicle Routing Problems with Backhauls (VRPB). Four subtypes can be considered, namely the Vehicle Routing Problem with Clustered Backhauls (VRPCB -all linehauls before
more » ... hauls), the Vehicle Routing Problem with Mixed linehauls and Backhauls (VRPMB -any sequence of linehauls and backhauls permitted), the Vehicle Routing Problem with Divisible Delivery and Pickup (VRPDDP -customers demanding delivery and pickup service can be visited twice), and the Vehicle Routing Problem with Simultaneous Delivery and Pickup (VRPSDP -customers demanding both services have to be visited exactly once). The second class, dealt with in the second part of this survey, refers to all those problems where goods are transported between pickup and delivery locations. These are the Pickup and Delivery Vehicle Routing Problem (PDVRP -unpaired pickup and delivery points), the classical Pickup and Delivery Problem (PDP -paired pickup and delivery points), and the Dial-A-Ride Problem (DARP -passenger transportation between paired pickup and delivery points and user inconvenience taken into consideration). Single as well as multi vehicle versions of the mathematical problem formulations are given for all four VRPB types, the corresponding exact, heuristic, and metaheuristic solution methods are discussed. Desaulniers G, Desrosiers J, Solomon M (eds.) (2005) Column Generation. No. 5 in GERAD 25th Anniversary. Springer Dethloff J (2001) Vehicle routing and reverse logistics: The vehicle routing problem with simultaneous delivery and pick-up. OR Spektrum 23:79-96 Dethloff J (2002) Relation between vehicle routing problems: An insertion heuristic for the vehicle routing problem with simultaneous delivery and pick-up applied to the vehicle routing problem with backhauls. J Oper Res Soc 53:115-118 Dueck G (1993) New optimization heuristics: The great deluge algorithm and the record-to-record travel. J Comput Phys 104:86-92
doi:10.1007/s11301-008-0033-7 fatcat:oqvjk26ukva63gxo7kctdgsvpe