Consider a school district with I neighborhoods, J schools, and G grades at each school. Each school j has a capacity of Cig for grade g. In each neighborhood i, the student population of grade g is Sig. Finally, the distance of school j from neighborhood i is dij. Formulate a linear programming problem whose objective is to assign all students to schools, while minimizing the total distance traveled by all students. (Hint: you need three-index decision variables)
Consider a school district with I neighborhoods, J schools, and G grades at each school. Each school j has a capacity of Cig for grade g. In each neighborhood i, the student population of grade g is Sig. Finally, the distance of school j from neighborhood i is dij. Formulate a linear programming problem whose objective is to assign all students to schools, while minimizing the total distance traveled by all students. (Hint: you need three-index decision variables)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Consider a school district with I neighborhoods, J schools, and G grades at each school. Each
school j has a capacity of Cig for grade g. In each neighborhood i, the student population of
grade g is Sig. Finally, the distance of school j from neighborhood i is dij. Formulate a linear
programming problem whose objective is to assign all students to schools, while minimizing the
total distance traveled by all students. (Hint: you need three-index decision variables)
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