BATCHMPC
*** OPTIMAL SYNTHESIS OF MULTIPRODUCT
BATCH PLANTS WITH CYCLIC
* SCHEDULING AND INVENTORY CONSIDERATIONS
*
* V. T. Voudouris and I. E. Grossmann
*
* Department of Chemical Engineering,
Carnegie Mellon University
* Pittsburgh, PA 15213, U.S.A.
*
* Ref: I&EC RESEARCH,1993, Vol. 32,
No. 9, pp. 1962-1980
* MILP FORMULATION OF BATCH PROCESSING
*
SETS I products
/A,
B,
C/
J stages
/S1,
S2,
S3/
ST number of intervals /1*100/
S number of different standard sizes
/1*3/;
SCALARS H hours available for production
/8000/
PARAMETERS
QTY(i) demand of product i (kg)
/A = 400000,
B = 200000,
C = 200000/
ALPHA(j) cost coefficient
/S1 = 650,
S2 = 550,
S3 = 280/
BETA(j) cost exponent
/S1 = 0.60,
S2 = 0.60,
S3 = 0.60/
FXCOST(j) fixed cost ($ per year)
/S1 = 105000,
S2 = 82000,
S3 = 48000/
INC(i) inventory cost ($ per kg per hr)
/A = 0.0010,
B = 0.0010,
C = 0.0010/
PRICE(i) product market prices ($ per kg)
/A = 0.60,
B = 0.65,
C = 0.70/
NY expected plant lifetime
TX tax rate
INTR interest rate
V(j,s) equipment sizes;
V(j,'1') = 5000;
V(j,'2') = 10000;
V(j,'3') = 20000;
NY = 10.00;
TX = 0.45;
INTR = 0.10;
TABLE SZFCTR(i,j) size factor for product
i in stage j (lt per kg)
S1 S2 S3
A 7.57 15.14 26.49
B 5.41 10.82 18.93
C 11.08 22.16 38.78
D 7.92 15.84 27.72
TABLE TMBCH(i,j) processing time of
product i in stage j (hrs)
S1 S2 S3
A 4.50 2.50 1.50
B 5.50 2.50 1.50
C 3.75 2.50 1.50
D 7.25 2.50 1.50
TABLE CLNTEM(i,k) clean-up times
A B C
A 0.00 0.20 0.50
B 0.20 0.00 0.50
C 0.50 0.50 0.00
D 2.00 2.00 0.50;
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