b _j

intercept of equilibrium line for the j ^th MSA

C _j

unit cost of the j ^th MSA including regeneration and makeup, $/unit flowrate of recirculating MSA

unit cost of the j ^th MSA required to remove a unit mass/mole of the key pollutant

G _i

flowrate of the i ^th waste stream

i

index for waste streams

j

index for MSAs

L _j

flowrate of the j ^th MSA

upper bound on the available flowrate of the j ^th MSA

m _j

slope of equilibrium line for the j ^th MSA

MR _i

mass/moles of pollutant lost from the i ^th waste stream

MS _j

mass/moles of pollutant gained by the j ^th MSA as defined

N _i

number of independent synthesis problems

N _S

number of MSAs

N _SE

number of external MSAs

N _SP

number of process MSAs

N _R

number of rich (waste) streams

R _i

the i ^th waste stream

S _j

the j ^th MSA

x _j

composition of key component in the j ^th MSA

inlet composition of key component in the j ^th MSA

maximum practically feasible inlet composition of key component in the j ^th MSA

maximum thermodynamically feasible inlet composition of key component in the j ^th