4QA3 F12 Week 12 Lecture Notes

# Now total supply is 1900 and total demand is 2000 min

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Unformatted text preview: + xD3 + xD4 < 100 xA1 + xB1 + xC1 + xD1 > 400 xA2 + xB2 + xC2 + xD2 > 900 xA3 + xB3 + xC3 + xD3 > 200 xA4 + xB4 + xC4 + xD4 > 500 Excel Solver All variables nonnegative 4QA3 F12 A. Gandomi 14 +3 cij: the costs (per unit) of traversing the routes uij: the capacities along the routes 3 Demand c34 u34 1 c12 u12 2 - 10 c24 u24 c43 u43 4 +7 u53 c53 u54 c53 Supply 5 4QA3 F12 A. Gandomi 15 xij = total number of BigGen’s sent on arc (i, j) = clow from node i to node j Min c12x12 + c23x23 + c24x24 + c25x25 + c34x34 + c43x43 + c53x53 + c54x54 s.t. - x12 = - 10 (Node 1) x12 - x23 - x24 - x25 = 0 (Node 2) x23 + x43 + x53 – x34 = 3 (Node 3) x24 + x34 + x54 - x43 = 7 (Node 4) x25 - x53 - x54 = 0 (Node 5) 0 < xij < uij all arcs (i, j) in the network Excel Solver 4QA3 F12 A. Gandomi 16 Data: locations, demand, vehicles 1.  Identify distance: D = ( x1 − x2 )2 + ( y1 − y2 )2 2.  Identify savings using consolidation DC Savings = a + b − c 3.  Assign Customers to routes o  Choose route with highest saving 1 c 2 o  Consolidate customers while feasible 4QA3 F12 A. Gandomi 17 Customer location and demand X Coordinate Y Coordinate Order Size DC 0 0 Customer 1 0 12 40 Customer 2 15 3 136 Customer 3 7 15 36 Customer 4 9 12 72 Customer 5 - 15 5 47 GroceryGateway has 2 trucks; max 200 units/truck 4QA3 F12 A....
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