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Joe Fix Plans the Repair Schedules Each Day for the Freeway

question 40

Essay

Joe Fix plans the repair schedules each day for the Freeway Airline. Joe has 3 planes in need of repair and 5 repair personnel at his disposal. Each plane requires a single repairperson, except plane 3, which needs 2 personnel. Anyone not assigned to maintaining an airplane works in the maintenance shop for the day (not modeled). Each repairperson has different likes and dislikes regarding the types of repairs they prefer. For each plane, Joe has pulled the expected maintenance and determined the total preference matrix for his repair personnel. The preference matrix is:
Plane 1Plane 2Plane 3 Repair Person 1 11921 Repair Person 2 17713 Repair Person 3 91217 Repair Person 4 14828 Repair Person 5 12512\begin{array}{lccc}&\text {Plane 1}&\text {Plane 2}&\text {Plane 3}\\ \hline \text { Repair Person 1 } & 11 & 9 & 21 \\\text { Repair Person 2 } & 17 & 7 & 13 \\\text { Repair Person 3 } & 9 & 12 & 17 \\\text { Repair Person 4 } & 14 & 8 & 28 \\\text { Repair Person 5 } & 12 & 5 & 12\end{array}
Draw the balanced network flow for this assignment problem assuming Joe would like to maximize the total preference in his worker-to-aircraft schedule.


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An American politician and diplomat who served as the Secretary of State from 2013 to 2017 and was the Democratic Party's nominee for President in 2004.

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The 43rd President of the United States, serving from 2001 to 2009, known for his leadership during the September 11 attacks and the subsequent wars in Afghanistan and Iraq.

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