Mobil Oil Corporation16 serves 600,000 customers with 430 tanktrucks operating out of 120 bulk terminals. As illustrated in the following figure, tanktrucks have several compartments c = 1,

c, n of varying capacity uc.

The final stage of distribution planning is to allocate outgoing gasoline products p = 1,

c, m to compartments. The various products ordered are placed in one or more compartments, but each compartment can contain only one product.
To avoid overfilling, the total gallons of any product loaded can be reduced from the ordered volume vp by up to bp gallons. The loading procedure seeks to minimize the sum of these underloadings while meeting all other requirements.
Formulate an ILP model of this loading problem using the decision variables (p = 1,

c, m;
c = 1,

c, n)
xp,c ! gallons of product p loaded in compartment c yp,c ! c 1 if product p is loaded in compartment c 0 otherwise zp !gallons underloading of product p

Transcribed Image Text:

compartment compartment compartment compartment 1 2 3 4 O O