SLIDE 31 31
Delivery time constraints
THE OBJECTIVE FUNCTION
∑ ∑ ∑ ∑ ∑ ∑ ∑ ∑ ∑ ∑ ∑ ∑ ∑ ∑
∈ ∈ ∈ ∈ ∈ ∈ ∈ ∈ > ∈ ≠ ∈ ∈ ∈ ∈ ∈
⎥ ⎦ ⎤ ⎢ ⎣ ⎡ ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ + ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ + ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ − − + + + + ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ =
P p Inew i i p p Jp j Inew i i j p j p new Inew i i P p J j T t t j p t j p i I i p p i p p p p P p P p J j I i Inew i i j i p j p
IRS cir ID cid I card L PH h cu B cb WIF cf H DP cp z Min
' ) ' ( ' ) ' ( , , max max , , ) ( , 1 ' , , ' , ' ' ' ) ' ( , , ,
* * ) ( 1 * * ρ
- Minimize pumping cost, interface reprocessing cost, pipeline idle time
and inventory carrying cost OBJECTIVE FUNCTION Batch injections completed up to period t are available to meet product requirements to be delivered to terminals before the end of period t
new p t j p t j p t i t i t k k j p i I j p
I i T t J j P p B B w w dem DM
new
∈ ∈ ∈ ∈ ∀ + − ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ − ≥
− + = ∈ =
∑ ∑
, , , ) ( *
) 1 ( , , , , , 1 , 1 , , 1 ) ( , l l l