OMMUNICATION FAILURE Problem There is a not very reliable communication network between 7 high-perfo

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OMMUNICATION FAILURE Problem There is a not very reliable communication network between 7 high-perfo

OMMUNICATION FAILURE Problem There is a not very reliable communication network between 7 high-performance computing centres. The probability (in percentage) that a link between two centres operates with a failure is given in the table. Blank entries in the table indicate that a link does not exist between the corresponding centres. Messages are sent from centre 1 (origin) to centre 7 (destination). The problem is to determine the route that will minimize the probability of a transmission with failure The probability of failure in a transmission involving N links is simply calculated as the sum of the N failure probabilities Centre 7 95 85 Centre 1 Centre 2 Centre 3 Centre 4 Centre 6 Centre 5 39 Centre 1 Centre 2 Centre 3 Centre 4 Centre5 Centre 6 Centre 7 17 14 36 27 19 14 25 31 8 39 95 14 25 27 17 31 19 20 13 36 85 14 20 13 What modification is needed to the optimization model if the problem becomes to determine the route that will maximize the probability of a transmission with failure? Explain your answer in the spreadsheet

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