house.gms : House Plan Design
This problem designs the size of an L shaped house
meeting limitations imposed by city codes and aesthetic
considerations.
Reference:
- Borland, Eureka: The Solver, Borland International, Scotts Valley, California, 1987.
Small Model of Type: NLP
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$Title House Plan Design (HOUSE,SEQ=99)
$Ontext
This problem designs the size of an L shaped house
meeting limitations imposed by city codes and aesthetic
considerations.
Borland, Eureka: The Solver. Tech. rep., Borland International, 1987.
$Offtext
Variables x width of front wing (ft)
y length of front wing (ft)
z length of second story (ft)
b total house width (ft)
a length of back wing (ft)
l total house length (ft)
a1 area of first floor (sq ft)
a2 area of the second floor (sq ft)
ta total area of the house (sq ft)
Equations defa1 definition of first floor area (sq ft)
defa2 definition of second floor area (sq ft)
defta definition of total floor area (sq ft)
defl definition of total house length(ft)
minw front wing minimum width (ft)
maxw front wing maximum width (ft)
minp minimum pool area (sq ft)
balk balcony size restriction (ft)
prop wing proportionality (ft) ;
defa1.. a1 =e= x*y + a*b; defa2.. a2 =e= x*z;
defta.. ta =e= a1 + a2;
minw.. x =g= b/3; maxw.. x =l= b/2;
minp.. y*(b - x) =g= 1500;
defl.. l =e= y + a;
balk.. z =e= a + y/2; prop.. a =g= y/2;
b.lo = 40; b.up = 68; l.lo = 56; l.up = 100; a1.up = 3000;
b.l=68; x.l=30;
Model house /all/; Solve house maximizing ta using nlp;
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