Question: Consider the network below with distances (shown in rectangles) in miles between the nodes (shown in circles). 34 6 19 29 19 19 14 (i)

Consider the network below with distances (shown in rectangles) in miles between the nodes (shown in circles). 34 6 19 29 19 19 14 (i) Using the Labeling Algorithm and by showing your working find the shortest route distances from node 1 to each of the other nodes. Answer: [8] (ii) Suppose the route between node 1 and node 4 becomes unavailable due to some maintenance work. Using the Labelling Algorithm on the revised network to find out the shortest route from node 1 to node 6. [2] Answer: (ii) Briefly describe if it is possible to develop an LP formulation of the above problem and how the the bigger instances of such problems can be solved. [3] Answer: (iv) Let us suppose you are working as an operations manager at a supermarket responsible for delivery of online orders of grocery items. Briefly describe how you will make use of the Shortest Route problem in the daily efficient delivery operations with given customer orders receiving times. [3]

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