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UG - Examples from 'BCL Reference Manual' Description The following examples are discussed in detail in the 'BCL User Guide and Reference Manual':
Source Files By clicking on a file name, a preview is opened at the bottom of this page.
Data Files xbairport.java /******************************************************** BCL Example Problems ==================== file xbairport.java ``````````````````` QCQP problem by Rodrigo de Barros Nabholz & Maria Aparecida Diniz Ehrhardt November 1994, DMA - IMECC- UNICAMP. Based on AMPL model airport.mod by Hande Y. Benson (Source: http://www.orfe.princeton.edu/~rvdb/ampl/nlmodels/ ) (c) 2008-2024 Fair Isaac Corporation author: S.Heipcke, June 2008, rev. Dec. 2011 ********************************************************/ import java.io.*; import com.dashoptimization.*; public class xbairport { static final int N = 42; static final double CX[] = {-6.3, -7.8, -9, -7.2, -5.7, -1.9, -3.5, -0.5, 1.4, 4, 2.1, 5.5, 5.7, 5.7, 3.8, 5.3, 4.7, 3.3, 0, -1, -0.4, 4.2, 3.2, 1.7, 3.3, 2, 0.7, 0.1, -0.1, -3.5, -4, -2.7, -0.5, -2.9, -1.2, -0.4, -0.1, -1, -1.7, -2.1, -1.8, 0}; static final double CY[] = {8, 5.1, 2, 2.6, 5.5, 7.1, 5.9, 6.6, 6.1, 5.6, 4.9, 4.7, 4.3, 3.6, 4.1, 3, 2.4, 3, 4.7, 3.4, 2.3, 1.5, 0.5, -1.7, -2, -3.1, -3.5, -2.4, -1.3, 0, -1.7, -2.1, -0.4, -2.9, -3.4, -4.3, -5.2, -6.5, -7.5, -6.4, -5.1, 0}; static final double R[] = {0.09, 0.3, 0.09, 0.45, 0.5, 0.04, 0.1, 0.02, 0.02, 0.07, 0.4, 0.045, 0.05, 0.056, 0.36, 0.08, 0.07, 0.36, 0.67, 0.38, 0.37, 0.05, 0.4, 0.66, 0.05, 0.07, 0.08, 0.3, 0.31, 0.49, 0.09, 0.46, 0.12, 0.07, 0.07, 0.09, 0.05, 0.13, 0.16, 0.46, 0.25, 0.1}; public static void main(String[] args) throws IOException { int i,j; XPRBvar[] x,y; /* x-/y-coordinates to determine */ XPRBexpr qe; XPRBctr cobj, c; try (XPRBprob prob = new XPRBprob("airport")) { /* Initialize BCL and create a new problem */ /**** VARIABLES ****/ x = new XPRBvar[N]; for(i=0;i<N;i++) x[i] = prob.newVar("x(" + (i+1) + ")", XPRB.PL, -10, 10); y = new XPRBvar[N]; for(i=0;i<N;i++) y[i] = prob.newVar("y(" + (i+1) + ")", XPRB.PL, -10, 10); /****OBJECTIVE****/ /* Minimize the total distance between all points */ /* sum(i in 1..N-1,j in i+1..N) ((x(i)-x(j))^2+(y(i)-y(j))^2) */ qe = new XPRBexpr(); for(i=0;i<N-1;i++) for(j=i+1;j<N;j++) qe .add((x[i].add(x[j].mul(-1))).sqr()) .add((y[i].add(y[j].mul(-1))).sqr()); cobj = prob.newCtr("TotDist", qe); prob.setObj(cobj); /* Set objective function */ /**** CONSTRAINTS ****/ /* All points within given distance of their target location */ /* (x(i)-CX(i))^2+(y(i)-CY(i))^2 <= R(i) */ for(i=0;i<N;i++) c = prob.newCtr("LimDist", (x[i].add(-CX[i])).sqr() .add( (y[i].add(-CY[i])).sqr()) .lEql(R[i]) ); /****SOLVING + OUTPUT****/ prob.setSense(XPRB.MINIM); /* Choose the sense of optimization */ /* Problem printing and matrix output: */ /* prob.print(); prob.exportProb(XPRB.MPS, "airport"); prob.exportProb(XPRB.LP, "airport"); */ prob.lpOptimize(""); /* Solve the problem */ System.out.println("Solution: " + prob.getObjVal()); for(i=0;i<N;i++) System.out.println(x[i].getName() + ": " + x[i].getSol() + ", " + y[i].getName() + ": " + y[i].getSol()); } } } | |||||||||||||||||||||||
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