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Split Delivery Problem Jan Pelikán , Jan Fábry , Václav Kořenář University of Economics Prague

Split Delivery Problem Jan Pelikán , Jan Fábry , Václav Kořenář University of Economics Prague. ___________________________________________________________________________ MME 2005, Hradec Králové. Delivery Problem. Standard Problem of OR.

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Split Delivery Problem Jan Pelikán , Jan Fábry , Václav Kořenář University of Economics Prague

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  1. Split DeliveryProblemJan Pelikán, Jan Fábry, Václav KořenářUniversity of Economics Prague ___________________________________________________________________________ MME 2005, Hradec Králové

  2. Delivery Problem Standard Problem of OR ____________________________________________________________________________ Split Delivery Problem MME 2005, Hradec Králové Savings } Fuel & Time Consumption WHAT Number of Used Vehicles Impact on the Environment * * * * * * * * * * * } Any Improving Solution HOW Using Optimum Repeatedly

  3. Delivery Problem ____________________________________________________________________________ Split Delivery Problem MME 2005, Hradec Králové Troubles Diversity of Problems NP-hardness

  4. Vehicle Routing Problem Standard Formulation ____________________________________________________________________________ Split Delivery Problem MME 2005, Hradec Králové Vehicle Capacity Demand

  5. Vehicle Routing Problem Miler-Tucker-Zemlin ____________________________________________________________________________ Split Delivery Problem MME 2005, Hradec Králové minimize subject to

  6. Vehicle Routing Problem Vehicles with Different Capacities ____________________________________________________________________________ Split Delivery Problem MME 2005, Hradec Králové minimize subject to Each vertex lies exactly on 1 route

  7. Split Delivery Problem Several Routes for Some Vertices Split even if ____________________________________________________________________________ Split Delivery Problem MME 2005, Hradec Králové

  8. Destinations 8 2 3 8 4 10 10 10 1 4 2 3 Split Delivery Problem Example ____________________________________________________________________________ Split Delivery Problem MME 2005, Hradec Králové Demand Depot Distance

  9. 8 2 3 8 4 10 10 10 1 4 2 3 Split Delivery Problem Example – w/o Split ____________________________________________________________________________ Split Delivery Problem MME 2005, Hradec Králové 3 Routes: (1-2-1); (1-3-1); (1-4-1) Total Distance = 60

  10. 8 2 3 8 4 10 10 10 1 4 2 3 Split Delivery Problem Example – Split ____________________________________________________________________________ Split Delivery Problem MME 2005, Hradec Králové 2 Routes: (1-2-3-1); (1-3-4-1) Total Distance = 45

  11. Split Delivery Problem minimize ____________________________________________________________________________ Split Delivery Problem MME 2005, Hradec Králové subject to

  12. Vehicle Routing Problem vs. ____________________________________________________________________________ Split Delivery Problem MME 2005, Hradec Králové Split Delivery Problem Each solution of VRP is solution of SDP SDP

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