The following map shows the 8 intersections at which automatic traffic monitoring devices might be installed. A
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The following map shows the 8 intersections at which automatic traffic monitoring devices might be installed. A station at any particular node can monitor all the road links meeting that intersection. Numbers next to nodes reflect the monthly cost (in thousands of dollars) of operating a station at that location.
(a) Formulate the problem of providing full coverage at minimum total cost as a set covering ILP.
(b) Use class optimization software to solve your ILP of part (a).
(c) Revise your formulation of part
(a) to obtain an ILP minimizing the number of uncovered road links while using at most 2 stations.
(d) Use class optimization software to solve your ILP of part (c).
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