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我把程序贴在这,* K% ~. n" a9 ^* T, t, d: V
$Title A Investment Problem / Y* O# l/ l+ t1 J1 C9 N$ontext. V8 m# r! }% |# J% `
this problem finds a optimized investment that meets % H' X% A! S! q3 x2 `* Q5 S1 [6 L6 arequirements in the city, z( L" P7 {( C5 m
$offtext % i& h1 X2 b, X c$ mSets * `9 {: w0 m# { A; h, i! k3 T. X i power plants /plant-1, plant-2, plant-3, plant-4/: J- t( u$ s7 k
j operating mode /mode-1, mode-2, mode-3/;& u9 M; S! P, S" X1 u* Z
Parameters; l- `6 B& M6 A. M
c(i) the unit installed capacity of power plant i in cases* y/ t* i" L L3 }' d% {
/plant-1 10 ( a3 P5 b u3 J7 F$ u" R' a$ I% u plant-2 7$ M( \: F& s5 V+ k! S( W5 A9 v J
plant-3 164 D' b5 S) [# n/ e% |( p+ L! y- m8 ^
plant-4 6/5 A4 Q" O% y8 W
d(j) the electricity demand for power plant i in cases [9 {. }! ], C$ S# V8 G. j
/mode-1 39 G4 N% r% n: D) D2 K3 y8 L
mode-2 3( B1 `5 p9 H5 T* i |
mode-3 2/; ( ~* E5 H- w& U4 @/ X8 ~Table f(i,j) the unit operating cost of each power plant7 C# n4 J5 N* w B( `
mode-1 mode-2 mode-3* d! ?" a7 ^8 \) c
plant-1 0.4 0.24 0.04 5 [0 N& I, p' I7 u9 G% o2 a4 [ plant-2 0.45 0.27 0.045! r0 g3 ?3 h' x. J5 P1 e
plant-3 0.32 0.192 0.032 + r1 E# ~* }8 v- a& z; f plant-4 0.55 0.33 0.055; 5 X! e% Y* L" i+ A# F( }' i' S* fScalar m the minimum total installed capacity of the four power plant /12/ ; `+ O- C" O& j" o b the minimum tatal investment budget of the four power plant /120/;, {! C5 r! b! L' U4 w) }
Variables( ~' {* D; |7 x9 O
x(i) the installed capacity of the i power plant in cases7 }$ |4 M+ \ ~2 G) I
y(i,j) the operating lever of the i power plant under the j operating mode6 i% F9 U# q" o3 e( T
z the total cost of the four power plant; - ` F$ S% e& p4 W- }# Q" ?9 v6 uPositive Variable x; - A& n9 r7 K# f2 B, [) QEquations2 E; J4 Q" g2 J3 P( X
cost define objective function 0 c' h& J# t( X capacity1(i) observe total capacity linmit at plant i + d" i+ b+ l8 w# | budget(i) observe total investment budget limit at plant i ) {8 z9 T5 }2 i- ?+ K5 J% e capacity2(i) observe installed capacity for each power plant ( j6 b) E' l1 `+ V demand(i) satisfy the electricity demand under each operating mode; * P: c5 w( J- e. Ucost.. z =e= sum(i,c(i)*x(i))+sum((i,j),f(i,j)*y(i,j));2 r* `; N( k( U4 S, W: Y0 G0 Z
capacity1(i).. sum(i,x(i)) =g= m;/ @8 |. r3 g# r1 @
budget(i).. sum(i,c(i)*x(i)) =l= b;, c- Z5 B, z3 W- G( w
capacity2(j).. sum(j,y(i,j)) =l= x(i); ) N& T8 n. l$ m4 }( edemand(i).. sum(i,y(i,j)) =g= d(j);0 T; [, _. b X, |- u
Model investment /all/; X) P. w: @) A0 f' nSolve investment using lp minimizing z; - K2 q! K: i: _ kDisplay y.l, y.m;' ^9 e: j- q% O; }7 O