TABLE 3

FROM:

Synchronized production–distribution planning in a single-plant multi-destination network

N Rizk, A Martel and S D'Amours

Table 3. Transportation and replenishment indexes, parameters and sets

W	Set of distribution centres (wW)
U w	Set of transportation modes available to ship products to DC w (uU w)
j	jth interval of the piecewise linear cost function of transportation mode u to a destination w in period t:j=0,..., ut w
S utj w	The maximum volume (in tons) that can be shipped by transportation mode u to destination w to incur the fixed plus linear cost associated with interval j in period t
A utj w	Fixed cost associated to the jth interval of transportation mode u piecewise linear cost function to destination w in period t
E utj w	Cost of shipping the volume S utj w to destination w by transportation mode u in period t
v utj w	Variable cost associated to the jth interval of transportation mode u to destination w piecewise linear cost function in period t
u w	Transportation lead-time to destination w by transportation mode u
d it w	Effective external demand at destination w for item i during period t
r i	Transportation resource absorption rate for item i (in cwt, cube, etc)
h it w	Inventory holding cost of product i at DC w in period t