Human Development and Regional Disparities in Iran:A Policy Model

aij = the contribution of the i^th project to the j^th to the target set for indicator j,

Tj = the proposed target for the j^th indicator for the province under consideration,

lij = human resources required by the i^th project related to indicator j,

Lj= available human resources of the kind required by projects related to indicator j,
nj = the number of projects related to indicator j,

J = the number of selected indicators.

Further limitations related to other scarce resources can be included in the model in the form of
appropriate constraints. The above model can be used for individual provinces. However,
considering provinces individually may be undesirable as resources are transferable within a
country amongst various provinces. Assuming such transferability in general we may formulate
the following project selection model for all provinces.

RJ^nrj

Minimise Z =∑∑∑ci^rjXi^rj

r=1 j=1 i=1

n_j

Subject to      ∑arX_ir ≥ Tj        , for r=1,2,...,R; and J=1,2,...,J.

i=1

_R nr_j

∑∑ li^rjXi^rj ≤ Lj               for j=1,2,.,J.            (6)

r=1 i=1

1, if the i^th project related to the j^th indicator is selected,

Xi^rj=

0, if the i^th project related to the j^th indicator is not selected.

Where

c^ij =the cost of implementing project i related to indicator j in the r^th province,

X_i^r_j =the i^th project related to the j^th indicator for the r^th province,

a_i^r_j = the contribution of the i^th project to the j^th target set for indicator j in province r,

T_j^r = the proposed target for the j^th indicator for the r^th province,

l_i^r_j = human resources required by the i^th project related to indicator j for province r,
L_j = available human resources of the kind required by projects related to indicator j,
n_j^r = the number of projects related to indicator j for province r,

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