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Table 1 The structure of the equilibrium table in the epsilon constraint method

From: A sustainable biomass network design model for bioenergy production by anaerobic digestion technology: using agricultural residues and livestock manure

SOPi

f2(xi)

⋯

fp(xi)

\( {x}_2^{\ast } \)

\( {f}_2\left({x}_2^{\ast}\right) \)

⋯

\( {f}_p\left({x}_2^{\ast}\right) \)

â‹®

â‹®

 

â‹®

\( {x}_P^{\ast } \)

\( {f}_2\left({x}_p^{\ast}\right) \)

⋯

\( {f}_p\left({x}_p^{\ast}\right) \)

\( {y}_i^{min} \)

\( {f}_2\left({x}_2^{\ast}\right) \)

⋯

\( {f}_p\left({x}_p^{\ast}\right) \)

\( {y}_i^{max} \)

max(f2(xi))

⋯

max(fp(xi))