TABLE 1

FROM:

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

N Rizk, A Martel and S D'Amours

Table 1. Production indexes, parameters and sets

T	The length of the planning horizon
t	A planning period
i	An item type: i=1,...,n for IP items and i=n+1,...,N for FP items
m	A machine for the production of IP products: m=1,...,M
M i	The set of machines m that manufacture item i
IP M	The set of IP products manufactured by machine m (IP m{1,...,n})
e m	The eth item in the production sequence of machine m: e m=1m,...,f m (fn)
	Production lead-time
d it	Effective demand at the manufacturing location for item i during period t
C t m	Production capacity of machine m in period t (in time units)
k it m	Setup time required to start production of item iIP m on machine m at the beginning of period t
K it m	Product iIP m changeover cost on machine m in period t
h it	Inventory holding cost of item i at the manufacturer location in period t
g ii'	Number of product i units required to produce one unit of product i'
a it m	Production resource capacity consumption rate of item iIP m at machine m in period t
C i	Set of the successors of product i in the BOM: C i={i'|g ii'>0}