This homework problem refers to the network described in Fig. 6.10 in the text. All links are potentially possible, and the matrices define the link costs and reliabilities. Assume the network in...

This homework problem refers to the network described in Fig. 6.10 in the text. All links are potentially possible, and the matrices define the link costs and reliabilities. Assume the network in question is composed of links 1–2; 2–3; 3–6; 6–5; 5–1; 1–4; and 4–6. Compute the two-terminal reliabilities R26 and R23 by using the following methods:

 (a) state-space,

(b) tie-set,

 (c) cut-set,

(d) keystone-component,

(e) edge-transformation.