267
15.3.2 Migration Estimation
Using the vital statistics method of migration estimation, the migration is estimated
as follows:
Net Migration P P
B D
=
−
(
)− −
(
)
1
0
(15.2)
where P 1 is the population of the later census (Census 2011)
P 0 is the population of the previous census (Census 2001)
B is the birth rate (2001 to 2011)
D is the death rate (2001 to 2011)
The Eq. 15.2 is also known as direct method of migration estimation, and in this
study, we use this method in estimation of migration.
15.3.3 Estimation of Feasible Region of Migration by CPLEX
and Graphical Method
The pioneer work on simplex method was done by Dantzig and Thapa 1997. Later
it was modified by several scholars. One of the important modifications were done
by Maros (2003). The feasible and optimal zone in respect to the demand of workers
is estimated with the help of simplex method (Maros 2003) calculated in GAMS
software, a part of C programming. Here we assert that x belongs to a set of real
number R; x € R
n
to be either a point or a vector in n-dimensional space. x 1 ,
x 2, ……………………, x n is considered as the vector space in the two-dimensional space in
which α be a scaler. Then α*x transformed into a vector obtained by continuing in
the same direction as x. α > 0 determines that the component and transformed
matrix α ∗ x is at the positive direction of axis simultaneously and α < 0 determines
the component is at the negative direction of the axis. A linear combination of k
vectors x
1
, x
2
, ……………. , x
k
is:
x
x
x
x
k
k
=
+
+……………………………+
α
α
α
1
1
2
2
(15.3)
where α j are the real numbers. The set of points (x 1, x 2 ) satisfying the relation
x x
1
2
2
+ ≥
(15.4)
consists a region in two-dimensional space on one side of the line:
x x
1
2
2
+ =
(15.5)
15 Drought-Induced Human Mobility in Purulia District of West Bengal
15.3.2 Migration Estimation
Using the vital statistics method of migration estimation, the migration is estimated
as follows:
Net Migration P P
B D
=
−
(
)− −
(
)
1
0
(15.2)
where P 1 is the population of the later census (Census 2011)
P 0 is the population of the previous census (Census 2001)
B is the birth rate (2001 to 2011)
D is the death rate (2001 to 2011)
The Eq. 15.2 is also known as direct method of migration estimation, and in this
study, we use this method in estimation of migration.
15.3.3 Estimation of Feasible Region of Migration by CPLEX
and Graphical Method
The pioneer work on simplex method was done by Dantzig and Thapa 1997. Later
it was modified by several scholars. One of the important modifications were done
by Maros (2003). The feasible and optimal zone in respect to the demand of workers
is estimated with the help of simplex method (Maros 2003) calculated in GAMS
software, a part of C programming. Here we assert that x belongs to a set of real
number R; x € R
n
to be either a point or a vector in n-dimensional space. x 1 ,
x 2, ……………………, x n is considered as the vector space in the two-dimensional space in
which α be a scaler. Then α*x transformed into a vector obtained by continuing in
the same direction as x. α > 0 determines that the component and transformed
matrix α ∗ x is at the positive direction of axis simultaneously and α < 0 determines
the component is at the negative direction of the axis. A linear combination of k
vectors x
1
, x
2
, ……………. , x
k
is:
x
x
x
x
k
k
=
+
+……………………………+
α
α
α
1
1
2
2
(15.3)
where α j are the real numbers. The set of points (x 1, x 2 ) satisfying the relation
x x
1
2
2
+ ≥
(15.4)
consists a region in two-dimensional space on one side of the line:
x x
1
2
2
+ =
(15.5)
15 Drought-Induced Human Mobility in Purulia District of West Bengal