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# October 7-9 (LAST MIDTERM TOPIC).docx

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School
Department
Course
Professor
Wojtek Michalowski
Semester
Fall

Description
Transportation and Assignment Models: General Formulation Transportation  The transportation problem arises frequently in planning for the distribution of goods and services from several supply locations to several demand locations. Typically, the quantity of goods available at each supply location (origin or supplier) is limited, and the goods are needed at each of several demand locations (destination or demand point).  The usual objective in a transportation problem is to minimize the cost of shipping goods from the suppliers to the destinations.  The information about a transportation problem is usually presented in a tabular form. Xij – unknown amount shipped from supplier ‘I’ x13= 10 Min: 4X11 + 10X12 + … + 18X32 + 10X33 3X3; i=1…3; j=1…3; St. Total Shipment from Supplier “1” X11+x12+x13 <=100 X21+X22+x23<=300 X31+X32+X33<=300 Constraint for Demand X11+X21+X31=200 DEMAND @#1 X12+X22+X32=300 X13+X23+X33=200 Xij>=0; Total Supply=Total Demand  Al
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