FICO Xpress Optimization Examples Repository: Production planning under energy supply uncertainty

FICO Xpress Optimization Examples Repository

Production planning under energy supply uncertainty

Description

Plan the production of liquid nitrogen and liquid oxygen for the next N periods subject to an Interruptible Load Contract (ILC) for the power supply. Formulation using a polyhedral uncertainty set.

Further explanation of this example: Whitepaper 'Robust Optimization with Xpress', Section 7 Production planning under energy supply uncertainty

robprodplan.zip

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Source Files

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Data Files

prodplan_robust.dat

NDAYS:  5
PERDAY: 3

PROD_COST: 4
INV_COST:  3

MAX_NINTERR: 4

! Products: Liquid Nitrogen (LIN), Liquid Oxygen (LOX)
INV_CAP: [
("LIN") 60
("LOX") 27
]

PROD_CAP: [
("LIN") 29
("LOX") 5.5
]

INV_0: [
("LIN") 20
("LOX") 20
]

DEMAND: [
( 1 "LIN")  6   ( 1 "LOX")  2
( 2 "LIN") 14   ( 2 "LOX")  5
( 3 "LIN") 10   ( 3 "LOX")  3
( 4 "LIN")  8   ( 4 "LOX")  4
( 5 "LIN") 11   ( 5 "LOX")  8
( 6 "LIN") 15   ( 6 "LOX")  4
( 7 "LIN") 10   ( 7 "LOX")  8
( 8 "LIN")  9   ( 8 "LOX")  7
( 9 "LIN") 10   ( 9 "LOX")  5
(10 "LIN")  9   (10 "LOX")  4
(11 "LIN") 10   (11 "LOX")  3
(12 "LIN") 12   (12 "LOX")  3
(13 "LIN") 11   (13 "LOX")  5
(14 "LIN") 15   (14 "LOX")  9
(15 "LIN")  9   (15 "LOX")  7
]