Goal Programming Mathematical
Model
Matrix
– vector formulation
where
x
= (xj)n…vector
of model variables
X…set
of feasible solutions
A
= (aij)m.n …matrix
of coefficients of constraints
b =
(bi)m…RHS
vector
C
= (ckj)p.n…matrix
of cost coefficients of criteria functions
g =
(gk)p…vector
of goals
u =
(uk)p…vector
of goals underachievement
v =
(vk)p…vector
of goals underachievement weights
e =
(ek)p…vector
of goals overachievement
w =
(wk)p…vector
of goals overachievement weights