|
i ∈ |
I tasks |
|
Is
|
tasks which produce or consume state (s) |
|
Ij
|
tasks which can be performed in unit (j) |
|
j ∈ J
|
units |
|
Ji
|
units which are suitable for performing task (i) |
|
n
∈
N
|
event points representing the beginning of a task |
|
s
∈
S
|
states |
|
Sp
|
states belong to products |
|
Sr
|
states belong to raw materials |
|
prices
|
price of state (s) |
|
STIs
|
initial amount of state (s) |
|
STFs
|
final amount of state (s) |
|
ds,n
|
amount of state (s) delivered to the market at event point (n) |
|
wvi,j,n
|
binary, whether or not task (i) in unit (j) start at event point (n) |
|
sts,n
|
continuous, amount of state (s) at event point (n) |
|
,
|
proportion of state (s) produced, consumed by task(i), respectively |
|
bi,j,n
|
amount of material undertaking task (i) in unit (j) at event point (n) |
|
stmaxs
|
available maximum storage capacity for state (s) |
|
,
|
minimum amount, maximum capacity of unit (j) when processing task (i) |
|
rs
|
market demand for state (s) at the end of the time horizon |
|
Tfi,j,n
|
time at which task (i) finishes in unit (j) while it starts at event point (n) |
|
Tsi,j,n
|
time at which task (i) starts in unit (j) at event point (n) |
| αi,j, βi,j
|
variable term of processing time of task (i) in unit (j) |
|
H
|
time horizon |