PARALLEL
*
*
* MINLP MODEL FOR CYCLIC MULTIPRODUCT
SCHEDULING ON
* CONTINUOUS PARALLEL LINES
*
* N. Sahinidis and I. E. Grossmann
*
* Department of Chemical Engineering,
Carnegie Mellon University
* Pittsburgh, PA 15213, U.S.A.
*
* Ref: Computers chem. Engng. Vol. 15,
No. 2, pp. 85-103, 1991.
$TITLE MINLP MODEL FOR CYCLIC
MULTIPRODUCT SCHEDULING ON CONTINUOUS
PARALLEL LINES
SET I PRODUCTS /
A,
B,
C,
D,
F/
L LINES /1*1/
T TIME PERIODS /1*5/
PARAMETER YR OPERATING TIME (hr per yr);
YR = 8280;
PARAMETER TD TOTAL DEMAND (Klb per yr);
TD = 8000;
PARAMETER DEPERC(I) DEMAND RATES
(percentage) /
A 50.00
B 20.00
C 15.00
D 15.00
/;
PARAMETER R(I,L) PRODUCTION RATES (Klb
per day);
R('A', '1') = 32;
R('B', '1') = 25;
R('C', '1') = 30;
R('D', '1') = 30;
PARAMETER RT(I,J) TRANSITION TIME (hr);
RT('A', 'A') = 0.00;
RT('A', 'B') = 2.00;
RT('A', 'C') = 6.00;
RT('A', 'D') = 5.00;
RT('B', 'A') = 2.00;
RT('B', 'B') = 0.00;
RT('B', 'C') = 3.00;
RT('B', 'D') = 2.00;
RT('C', 'A') = 6.00;
RT('C', 'B') = 3.00;
RT('C', 'C') = 0.00;
RT('C', 'D') = 2.00;
RT('D', 'A') = 5.00;
RT('D', 'B') = 2.00;
RT('D', 'C') = 2.00;
RT('D', 'D') = 0.00;
PARAMETER PC(I) PRODUCTION COST ($ per
Klb) /
A 0.76
B 0.75
C 0.77
D 0.75
/;
PARAMETER H INVENTORY HOLDING COST ($ per
Klb-hr);
H = 2.00;
PARAMETER DELTA1 PROFIT BOOST FOR
AVAILABLE CAPACITY ($ per Klb);
DELTA1 = 2500.00;
PARAMETER DELTA3 DEAD INVENTORY COST ($
per Klb-hr);
DELTA3 = 0.00;
PARAMETER HS FRACTION OF SAFETY
INVENTORY;
HS = 1.00;
PARAMETER AL(L) UNDERESTIMATION OF
TRANSITION COST ($ per Klb);
AL('1') = 1707.00;
* INITIALIZATION
PARAMETER HLLEVEL(L) CYCLE TIME (hr);
HLLEVEL('1') = 4140.00;
PARAMETER HLLOW(L) LOWER BOUND CYCLE TIME
(hr);
HLLOW('1') = 1;
PARAMETER HLUP(L) UPPER BOUND CYCLE TIME
(hr);
HLUP('1') = 690.00;
* SEQUENCE OPTIMIZATION
SCALAR SEQUENCE optimize sequence /1/;
* INITIAL ASSIGNMENT
BINARY VARIABLE X(L,T,I);
X.L('1', '1', 'A') = 1;
X.L('1', '2', 'B') = 1;
X.L('1', '3', 'C') = 1;
X.L('1', '4', 'D') = 1;
X.L('1', '5', 'F') = 1;
* FORBIDDEN ASSIGNMENTS
PARAMETER XFOR(I,L,T) FORBIDDEN
ASSIGNMENTS (REPORT);
XFOR(I,L,T) = 0;
* SEQUENCING CONSTRAINTS
PARAMETER SEQCO(I,J);
SEQCO(I,J) = 0;
SCALAR SEQCONS /0/;
PARAMETER EP TOLERANCE FOR CALCULATIONS;
EP = 0.0000100000;
PARAMETER TOL PERCENTAGE GAP BETWEEN
LOWER AND UPPER BOUNDS;
TOL = 5.00/100; |
