Question
The university is scheduling cleaning crews for its ten buildings. Each crew has a different cost and is qualified to clean only certain buildings. There
The university is scheduling cleaning crews for its ten buildings. Each crew has a different cost and is qualified to clean only certain buildings. There are eight possible crews to choose from in this case. The goal is to minimize costs while making sure that each building is cleaned. The management science department formulated the following linear programming model to help with the selection process.
Min200x1+250x2+ 225x3+ 190x4+215x5+ 245x6+ 235x7+ 220x8
s.t.x1+x2+x5+x7 1{Building A constraint}
x1+x2+x3 1{Building B constraint}
x6+x8 1{Building C constraint}
x1+x4+x7 1{Building D constraint}
x2+x7 1{Building E constraint}
x3+x8 1{Building F constraint}
x2+x5+x7 1{Building G constraint}
x1+x4+x6 1{Building H constraint}
x1+x6+x8 1{Building I constraint}
x1+x2+x7 1{Building J constraint}
x
j
={1,ifcrewjisselected
0,otherwise
xj=1,ifcrewjisselected0,otherwise
Which of the crews can be scheduled to clean building A?
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Management Process
Authors: Lee Long
4th Edition
978-0201822939,0201822938
