Mathematics Chapter 5 Homework Problem 5-36 Flows From Node Flow balance equations

Unlock access to all the studying documents.

View Full Document

Flows:

From N-1 N-2 N-3 N-4 N-5 N-6 N-7 N-8 N-9 N-10 N-11 N-12 N-13 N-14 Flow out Node Flow in Flow out Net flow Sign RHS

Node 1 – 1 1 – – – – – – – – – – – 2.0 Node 1 2.0 2.0 0.0 =0.0

Node 2 – – – – 1 – – – – – – – – – 1.0 Node 2 1.0 1.0 0.0 =0.0

Node 3 – – – – – 1 – – – – – – – – 1.0 Node 3 1.0 1.0 0.0 =0.0

Capacities:

From N-1 N-2 N-3 N-4 N-5 N-6 N-7 N-8 N-9 N-10 N-11 N-12 N-13 N-14

Node 1 0 4 1 3 0 0 0 0 0 0 0 0 0 0

Node 2 0 0 0 0 1 0 0 0 0 0 0 0 0 0

Node 9 0 00040000 00 3 0 0

Node 10 0 000000 0 0 0 0 0 00

Node 11 0 0000000000000

Flow balance equations

Problem 5-36

Note: The revised

capacities are

shown in red.