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Folio - Examples from 'Getting Started' Description Different versions of a portfolio optimization problem. Basic modelling and solving tasks:
Source Files By clicking on a file name, a preview is opened at the bottom of this page. Data Files foliocb.java /******************************************************** Xpress-BCL Java Example Problems ================================ file foliocb.java ````````````````` Modeling a MIP problem to perform portfolio optimization. Same model as in foliomip3.java. -- Defining an integer solution callback -- (c) 2009-2024 Fair Isaac Corporation author: S.Heipcke, Y.Colombani, May 2009, rev. Dec. 2011 ********************************************************/ import java.io.*; import java.lang.*; import java.util.*; import com.dashoptimization.*; public class foliocb { static final String DATAFILE = "folio10.cdat"; static final int MAXNUM = 15; /* Max. number of different assets */ static final double MAXRISK = 1.0/3; /* Max. investment into high-risk values */ static final double MINREG = 0.2; /* Min. investment per geogr. region */ static final double MAXREG = 0.5; /* Max. investment per geogr. region */ static final double MAXSEC = 0.25; /* Max. investment per ind. sector */ static final double MAXVAL = 0.2; /* Max. investment per share */ static final double MINVAL = 0.1; /* Min. investment per share */ static int NSHARES; /* Number of shares */ static int NRISK; /* Number of high-risk shares */ static int NREGIONS; /* Number of geographical regions */ static int NTYPES; /* Number of share types */ static double[] RET; /* Estimated return in investment */ static int[] RISK; /* High-risk values among shares */ static boolean LOC[][]; /* Geogr. region of shares */ static boolean SEC[][]; /* Industry sector of shares */ static String SHARES_n[]; static String REGIONS_n[]; static String TYPES_n[]; static final String[] MIPSTATUS = {"not loaded", "not optimized", "LP optimized", "unfinished (no solution)", "unfinished (solution found)", "infeasible", "optimal", "unbounded"}; static XPRBvar[] frac; /* Fraction of capital used per share */ static XPRBvar[] buy; /* 1 if asset is in portfolio, 0 otherwise */ public static void main(String[] args) throws XPRSexception { int s,t,r; IntSolCallback cb; try { readData(); /* Read data from file */ } catch(IOException e) { System.err.println(e.getMessage()); System.exit(1); } XPRBexpr Risk = null, Return = null, Cap = null, Num = null; XPRBexpr[] MinReg = null, MaxReg = null, LimSec = null; try (XPRBprob p = new XPRBprob("FolioMIP3"); /* Initialize BCL and create a new problem in BCL */ XPRS xprs = new XPRS()) { /* Initialize Xpress-Optimizer */ /* Create the decision variables */ frac = new XPRBvar[NSHARES]; buy = new XPRBvar[NSHARES]; for(s=0;s<NSHARES;s++) { frac[s] = p.newVar("frac", XPRB.PL, 0, MAXVAL); buy[s] = p.newVar("buy", XPRB.BV); } /* Objective: total return */ Return = new XPRBexpr(); for(s=0;s<NSHARES;s++) Return.add(frac[s].mul(RET[s])); p.setObj(Return); /* Set the objective function */ /* Limit the percentage of high-risk values */ Risk = new XPRBexpr(); for(s=0;s<NRISK;s++) Risk.add(frac[RISK[s]]); p.newCtr(Risk.lEql(MAXRISK)); /* Limits on geographical distribution */ MinReg = new XPRBexpr[NREGIONS]; MaxReg = new XPRBexpr[NREGIONS]; for(r=0;r<NREGIONS;r++) { MinReg[r] = new XPRBexpr(); MaxReg[r] = new XPRBexpr(); for(s=0;s<NSHARES;s++) if(LOC[r][s]) { MinReg[r].add(frac[s]); MaxReg[r].add(frac[s]); } p.newCtr(MinReg[r].gEql(MINREG)); p.newCtr(MaxReg[r].lEql(MAXREG)); } /* Diversification across industry sectors */ LimSec = new XPRBexpr[NTYPES]; for(t=0;t<NTYPES;t++) { LimSec[t] = new XPRBexpr(); for(s=0;s<NSHARES;s++) if(SEC[t][s]) LimSec[t].add(frac[s]); p.newCtr(LimSec[t].lEql(MAXSEC)); } /* Spend all the capital */ Cap = new XPRBexpr(); for(s=0;s<NSHARES;s++) Cap.add(frac[s]); p.newCtr(Cap.eql(1)); /* Limit the total number of assets */ Num = new XPRBexpr(); for(s=0;s<NSHARES;s++) Num.add(buy[s]); p.newCtr(Num.lEql(MAXNUM)); /* Linking the variables */ for(s=0;s<NSHARES;s++) p.newCtr(frac[s].lEql(buy[s].mul(MAXVAL))); for(s=0;s<NSHARES;s++) p.newCtr(frac[s].gEql(buy[s].mul(MINVAL))); /* Define an integer solution callback */ cb = new IntSolCallback(); p.getXPRSprob().addIntSolListener(cb,p); /* Solve the problem */ p.setSense(XPRB.MAXIM); p.mipOptimize(""); System.out.println("Problem status: " + MIPSTATUS[p.getMIPStat()]); /* Solution printing */ System.out.println("Total return: " + p.getObjVal()); for(s=0;s<NSHARES;s++) if(buy[s].getSol()>0.5) System.out.println(s + ": " + frac[s].getSol()*100 + "% (" + buy[s].getSol() + ")"); } finally { if (Risk != null) Risk.close(); if (Return != null) Return.close(); if (Cap != null) Cap.close(); if (Num != null) Num.close(); if (MinReg != null) for (XPRBexpr e : MinReg) if (e != null) e.close(); if (MaxReg != null) for (XPRBexpr e : MaxReg) if (e != null) e.close(); if (LimSec != null) for (XPRBexpr e : LimSec) if (e != null) e.close(); } } /**************************Solution printing****************************/ static class IntSolCallback implements XPRSintSolListener { public void XPRSintSolEvent(XPRSprob oprob, Object data) { int num, s; XPRBprob bprob; try { bprob = (XPRBprob)data; bprob.beginCB(oprob); num = oprob.getIntAttrib(XPRS.MIPSOLS); /* Get number of the solution */ bprob.sync(XPRB.XPRS_SOL); /* Update BCL solution values */ System.out.println("Solution " + num + ": Total return: " + bprob.getObjVal()); for(s=0;s<NSHARES;s++) if(buy[s].getSol()>0.5) System.out.println(" " + s + ": " + frac[s].getSol()*100 + "% (" + buy[s].getSol() + ")"); bprob.endCB(); } catch(XPRSprobException e) { System.out.println("Error " + e.getCode() + ": " + e.getMessage()); } } } /***********************Data input routines***************************/ /***************************/ /* Input a list of strings */ /***************************/ private static String [] read_str_list(StreamTokenizer st) throws IOException { LinkedList<String> l=new LinkedList<String>(); st.nextToken(); /* Skip ':' */ while(st.nextToken()==st.TT_WORD) { l.addLast(st.sval); } String a[]=new String[l.size()]; l.toArray(a); return a; } /************************/ /* Input a list of ints */ /************************/ private static int [] read_int_list(StreamTokenizer st) throws IOException { LinkedList<Integer> l=new LinkedList<Integer>(); st.nextToken(); /* Skip ':' */ while(st.nextToken()==st.TT_NUMBER) { l.addLast((int)st.nval); } int a[]=new int[l.size()]; for(int i=0;i<l.size();i++) a[i]=((Integer)l.get(i)).intValue(); return a; } /****************************/ /* Input a table of doubles */ /****************************/ private static void read_dbl_table(StreamTokenizer st,double tbl[]) throws IOException { int n=0; st.nextToken(); /* Skip ':' */ while(st.nextToken()==st.TT_NUMBER) { tbl[n++]=st.nval; } } /************************************/ /* Input a sparse table of booleans */ /************************************/ private static boolean [][] read_bool_table(StreamTokenizer st,int nrow,int ncol) throws IOException { int i; boolean tbl[][]=new boolean[nrow][ncol]; st.nextToken(); /* Skip ':' */ for(int r=0;r<nrow;r++) { while(st.nextToken()==st.TT_NUMBER) tbl[r][(int)st.nval]=true; } return tbl; } private static void readData() throws IOException { int s; FileReader datafile=null; StreamTokenizer st=null; datafile=new FileReader(DATAFILE);/* Open the data file */ st=new StreamTokenizer(datafile); /* Initialize the stream tokenizer */ st.commentChar('!'); /* Use the character '!' for comments */ st.eolIsSignificant(false); /* Return end-of-line character */ st.parseNumbers(); /* Read numbers as numbers (not strings) */ while ( st.nextToken() == st.TT_WORD ) { if ( st.sval.equals("SHARES") && NSHARES==0) { SHARES_n=read_str_list(st); NSHARES=SHARES_n.length; } else if ( st.sval.equals("REGIONS") && NREGIONS==0) { REGIONS_n=read_str_list(st); NREGIONS=REGIONS_n.length; } else if ( st.sval.equals("TYPES") && NTYPES==0) { TYPES_n=read_str_list(st); NTYPES=TYPES_n.length; } else if ( st.sval.equals("RISK") && NRISK==0) { RISK=read_int_list(st); NRISK=RISK.length; } else if ( st.sval.equals("RET") && NSHARES>0) { RET=new double[NSHARES]; read_dbl_table(st,RET); } else if ( st.sval.equals("LOC") && NSHARES>0 && NREGIONS>0) LOC=read_bool_table(st,NREGIONS,NSHARES); else if ( st.sval.equals("SEC") && NSHARES>0 && NTYPES>0) SEC=read_bool_table(st,NTYPES,NSHARES); else break; } /* for(int i=0;i<NREGIONS;i++) { for(int j=0;j<NSHARES;j++) System.out.print(" "+LOC[i][j]); System.out.println(); } */ datafile.close(); } } | |||||||||
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