Question

Problem 18. The topology of a certain network is indicated by the digraph (directed graph) pictured below, where five vertices represent locations of hardware units that receive and transmit data along connection edges to other units in the direction of the arrows. Suppose the system is in a steady state and that the data flow along edge j is the nonnegative quantity zj. The single law that these flows must obey is this: net flow in equals net flow out at each of the five vertices (like Kirchhoff's first law in electrical circuits). Write out a system of linear equations satisfied by variables T1, 2, 3, 4, T5, T6, T7

Please make it legible. Thank you!

Answer 1