Question: Question 7 (30) The picture below shows a grid with 9 nodes and some one-way paths between them in an industrial facility. 5 robots must

Question 7 (30) The picture below shows a grid with 9 nodes and some one-way paths between them in an industrial facility. 5 robots must start at node 1 and travel along the one-way paths until they reach 9 Figure 1: Grid of nodes and paths for robots. node 9. The robots do not have to visit all the nodes (This is not TSP!) In order to reduce physical stress on any of the paths, no more than cjk robots can travel on path (j, k). The time it takes for robot i to travel on path (j, k) is tijk). Finally robot 1 must visit node 5 and robot 2 should not visit node 6 Write an IP formulation to minimize the total time for all the robots to reach node 9. Question 7 (30) The picture below shows a grid with 9 nodes and some one-way paths between them in an industrial facility. 5 robots must start at node 1 and travel along the one-way paths until they reach 9 Figure 1: Grid of nodes and paths for robots. node 9. The robots do not have to visit all the nodes (This is not TSP!) In order to reduce physical stress on any of the paths, no more than cjk robots can travel on path (j, k). The time it takes for robot i to travel on path (j, k) is tijk). Finally robot 1 must visit node 5 and robot 2 should not visit node 6 Write an IP formulation to minimize the total time for all the robots to reach node 9

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