Nomenclature |
| ||
Index set | Dimension | Unit | Definition |
s є S | {s} | - | Supplier |
p є P | {p} | - | Production plant |
r є R | {r} | - | Distribution center |
c ϵ C | {c} | - | Customer |
t ϵ T | {T} | - | Time period, t = 1, 2, 3, …, n |
f ϵ F | {F} | - | Type of raw material, f = 1, 2, 3, ..., n |
g ϵ G | {G} | - | Type of product, e.g., Product g |
General data |
| Definition | |
RMC | {s} | $/unit | Raw material cost of product g |
BOM | {p} | unit | Bill of raw material, BOM. Amount of raw material needed to make g |
MIC | {p} | unit | Maximum inventory capacity of plant p |
MRC | {r} | unit | Maximum inventory capacity of distribution center r |
Decision Variables |
| Definition | |
BQ | {s} | unit | Purchase quantity of raw material f from supplier s in time period t |
PQ | {p} | unit | Manufacturer product quantity of g from plant p in time period t |
ILR | {p} | unit | k’th inventory level of raw material remain in plant p in time period t |
ILG | {p} | unit | k’th inventory level of finished product g in plant p in time period t |
IL | {p} | unit | Inventory level of plant p which keep raw material and finished product g in time period t |
IR | {r} | unit | k’th inventory level of distribution center r in time period t |
PR | {p} | unit | Quantity of product g shipped from plant p to distribution center r in time period t |
PE | {r} | unit | Quantity of product g shipped from retailer r to customer c in time period t |
DB | {p} | unit | Quantity of demand backlog in plant p in time period t |