Table 1.

Some possible pathways for the system in Fig. 2 (or Fig. 6)

Serial Number	Some possible paths	Optimal c-values	Average quantity (z) of P
1	R1 → R5 → R9 → R3	c1 = 0.88, c5 = 0.80, c9 = 0.80, c3 = 0.86	51.53
2	R1 → R6 → R8 → R9 → R3	c1 = 0.88, c6 = 0.56, c8 = 0.57, c9 = 0.80, c3 = 0.86	12.22
3	R1 → R5 → R8 → R10 → R3	c1 = 0.88, c5 = 0.80, c8 = 0.57, c10 = 0.04, c3 = 0.86	24.63
4	R1 → R6 → R10 → R3	c1 = 0.88, c6 = 0.56, c10 = 0.04, c3 = 0.86	19.88
5	R1 → R7 → R10 → R3	c1 = 0.88, c7 = 0.18, c10 = 0.04, c3 = 0.86	29.41