Urban Transportation and Logistics

177Network Design for Freight Transport and Supply Chain

q

hkl

p

yy

y3

: the amount of product y transacted/transported from retailer

k

y

to demand market l by freight carrier h

y

using path p

3y

Q

1y

: the u

y

m

y

n

y

e

1y

-dimensional vector with component h

y

i

y

j

y

p

1y

denoted by

q

hij

p

yy

y

y1

representing shipments of product y between

manufacturers and wholesalers

Q

2y

: the u

y

n

y

o

y

e

2y

-dimensional vector with component h

y

j

y

k

y

p

2y

denoted by

q

hjk

p

yy

y

y2

representing shipments of product y between

wholesalers and retailers

Q

3y

: the u

y

o

y

Le

y

-dimensional vector with component h

y

k

y

lp

3y

denoted by

q

hkl

p

yy

y3

representing shipments of product y between

retailers and demand markets

Q

1

: the H

1

-dimensional vector with components: Q

11

,…, Q

1Y

, where

()

=

∑













=

Hu

mne

yyyy

y

Y

1

1

1

Q

2

: the ...