TABLE 5.26 Mileage Chart for Problem 5-8 Distribution area 1 2 نیا 3 Refinery 1 Refinery 2 300 180 180 800 900 Refinery 3 220 200 120
TABLE 5.26 Mileage Chart for Problem 5-8 Distribution area 1 2 نیا 3 Refinery 1 Refinery 2 300 180 180 800 900 Refinery 3 220 200 120
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Question
Three refineries with daily capacities of 6, 5, and 8 million gallons, respectively, supply
three distribution areas with daily demands of 4, 8, and 7 million gallons, respectively.
Gasoline is transported to the three distribution areas through a network of pipelines.
The transportation cost is 10 cents per 1000 gallons per pipeline mile. Table 5.26 gives the
mileage between the refineries and the distribution areas. Refinery 1 is not connected to
distribution area 3.
show Lp formulation and
(a) Construct the associated transportation model.
(b) Determine the optimum shipping schedule in the network.
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