This of the network shown in the Figure below as a highway map, and the number next to each arc as the maximum elevation encountered in traversing the arc. A traveler plans to drive from node 1 to node 12 on this highway. This traveler dislikes high altitudes and so would like to find a path from node 1 to node 12 that minimizes the maximum altitude (so the max altitude of path 1-4-7-10-11-12 is 6). *Hint: Think Mini-max formulation from game theory. Formulate a mathematical model of this network model. (Modify mathematical formulation of network models)

I have a shortest path model but I don't know how to apply mini-max from game theory. I need some assistance with the basic set up

 

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