Question: Formulate the problem below as a shortest path problem and find its solution using AMPL. 6-14. Figure 6.35 provides the communication network between two stations,

Formulate the problem below as a shortest path problem and find its solution using AMPL.

6-14. Figure 6.35 provides the communication network between two stations, 1 and 7. The probability that a link in the network will operate without failure is shown on each arc. Messages are sent from station 1 to station 7, and the objective is to determine the route that maximizes the probability of a successful transmission. Formulate the situation as a shortest-route model, and determine the optimum solution. FIGURE 6.35 Network for Problem 6-14 .5 .9 .8 .8 .7 .65 4 5 7 3 .85 .9 .95 3

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