Week4Tutorial_RandomKeyVRP.pdf - Evolutionary Computation...

This preview shows page 1 - 7 out of 17 pages.

Evolutionary ComputationVehicle Routing Problem and Random Key EncodingShan HeSchool of Computer ScienceUniversity of BirminghamShan He(University of Birmingham)Evolutionary Computation1 / 18
OutlineOutline of Topics1Vehicle routing problem2Random Key EncodingShan He(University of Birmingham)Evolutionary Computation2 / 18
Vehicle routing problemVPR: Vehicle routing problemReal-world problem: How to design an optimal set of routes for a fleetof vehicles to traverse in order to deliver to a given set of customers?Shan He(University of Birmingham)Evolutionary Computation3 / 18
Vehicle routing problemVPR: Vehicle routing problemFigure 2:An instance of a VRP (left) and its solution (right). Figure fromVRPwebistewith permission.Shan He(University of Birmingham)Evolutionary Computation4 / 18
Vehicle routing problemVehicle routing problem formulationV={v0,v1,· · ·,vn}is a vertex set, wherev0is the depot, andV0=V\ {v0}is the set ofncustomers.A={(vi,vj)|vi,vjV;i6=j}is an edge (arc) set.Cis a matrix of non-negative costs or distancescijbetweencustomersviandvj.D={d1,d2,· · ·,dn}is a vector of the customer demands.Riis the route for vehiclei, i.e.,Ri={v0,v1,· · ·,vri+1}, whereviVandv0=vri+1= 0mis the number of vehicles (all identical). One route is assigned toeach vehicle.Figure 3:An instance of a VRP (left) and its solution (right). Figure fromVRPShan He(University of Birmingham)Evolutionary Computation5 / 18
Vehicle routing problemCapacitated Vehicle routing problemThe cost of a given route:C(Ri) =rij=0cj,j+1.Total costofmvehicles (routes):mi=1C(Ri).

Upload your study docs or become a

Course Hero member to access this document

Upload your study docs or become a

Course Hero member to access this document

End of preview. Want to read all 17 pages?

Upload your study docs or become a

Course Hero member to access this document

Term
Spring
Professor
miss ayesha
Tags
Travelling salesman problem, Vehicle routing problem, Shan He

  • Left Quote Icon

    Student Picture

  • Left Quote Icon

    Student Picture

  • Left Quote Icon

    Student Picture