
w
_{1}

w
_{2}


i

minimal cut set

f
_{
i
}
 
minimal cut set

f
_{
i
}
 

1

R2

R9
 
9.0
 
R2

R5

R10

301.2

*

2

R2

R5

R6

8.0
 
R2

R10

R11

301.2

*

3

R2

R5

R10

8.0

*

R2

R9
 
204.2
 
4

R2

R6

R11

8.0
 
R2

R5

R6

203.2
 
5

R2

R10

R11

8.0

*

R2

R6

R11

203.2
 
 List of all MCS for the most efficient production of P from A in the network Figure 1. Two different weight vectors were used, ${w}_{1}^{T}$ = (1 1 1 1 1 1 1 1 1 1 1 1), and ${w}_{2}^{T}$ = (0.1 0.1 0.1 99 1 99 2 1 99 1 1 99). MCS are sorted in decreasing order of the objective function ${f}_{i}={w}_{j}^{T}{x}^{\left(i\right)}$, j = {1,2} as calculated by our algorithm. (The sequence of MCS with equal objective value may differ depending on the BLP algorithm.) * marks MCS for which full genetic information is available.