Francesca Sanna-Randaccio paper - The Business School

28
Appendix A
The objective functions in the different scenarios are:
Case I: no relocation (NR)
h
II
I
I
II
I
II
e
II
II
II
II
II
I
e
I
I
I
I
I
NR
G
F
q
q
t
q
s
c
cq
q
q
b
q
b
a
q
q
b
q
b
a
,
1
,
1
,
1
,
1
,
1
,
1
,
2
,
1
,
1
,
2
,
1
1
)
(
)
(
)
(
)
(
(A.1)
h
II
I
II
II
I
II
II
II
e
II
II
II
I
I
I
e
I
I
I
NR
G
F
q
q
t
cq
q
s
c
q
q
b
q
b
a
q
q
b
q
b
a
,
2
,
2
,
2
,
2
,
2
,
2
,
2
,
1
,
2
,
2
,
1
2
)
(
)
(
)
(
)
(
(A.2)
Case II: partial relocation (PR)
f
h
II
II
I
I
II
I
II
e
II
II
II
II
II
I
e
I
I
I
I
I
PR
G
G
F
q
t
q
t
q
q
c
q
q
b
q
b
a
q
q
b
q
b
a
,
1
,
1
,
1
,
1
,
1
,
1
,
1
,
2
,
1
,
1
,
2
,
1
1
)
(
)
(
)
(
(A.3)
h
II
I
II
II
I
II
II
II
e
II
II
II
I
I
I
e
I
I
I
PR
G
F
q
q
t
cq
q
s
c
q
q
b
q
b
a
q
q
b
q
b
a
,
2
,
2
,
2
,
2
,
2
,
2
,
2
,
1
,
2
,
2
,
1
2
)
(
)
(
)
(
)
(
(A.4)
Case III: total relocation (TR)
f
II
I
II
II
I
II
e
II
II
II
II
I
e
I
I
I
I
TR
G
F
q
q
t
cq
q
s
c
q
q
b
q
b
a
q
q
b
q
b
a
,
1
,
1
,
1
,
1
,
1
,
1
2
,
1
,
1
2
,
1
1
)
(
)
(
)
(
)
(
(A.5)
h
II
I
II
II
I
II
II
II
e
II
II
II
I
I
I
e
I
I
I
TR
G
F
q
q
t
cq
q
s
c
q
q
b
q
b
a
q
q
b
q
b
a
,
2
,
2
,
2
,
2
,
2
,
2
,
2
,
1
,
2
,
2
,
1
2
)
(
)
(
)
(
)
(
(A.6)