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Linear Programming / Optimization


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Documentation for package ‘linprog’ version 0.9-4

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print.solveLP Print Objects of Class solveLP
print.summary.solveLP Summary Results for Objects of Class solveLP
readMps Read MPS Files
solveLP Solve Linear Programming / Optimization Problems
summary.solveLP Summary Results for Objects of Class solveLP
writeMps Write MPS Files
library( linprog ) ## example of Steinhauser, Langbehn and Peters (1992) ## Production activities cvec <- c(1800, 600, 600) # gross margins names(cvec) <- c("Cows","Bulls","Pigs") ## Constraints (quasi-fix factors) bvec <- c(40, 90, 2500) # endowment names(bvec) <- c("Land","Stable","Labor") ## Needs of Production activities Amat <- rbind( c( 0.7, 0.35, 0 ), c( 1.5, 1, 3 ), c( 50, 12.5, 20 ) ) ## solve the model result1a <- solveLP( cvec, bvec, Amat, TRUE ) ## Write to a (virtual) MPS file mpsFile <- file() writeMps( mpsFile, cvec, bvec, Amat, "Steinhauser" ) ## write the lines of this file to the output file mpsLines <- readLines( mpsFile ) close( mpsFile ) print( mpsLines ) ## Write to a (virtual) MPS file again (for readMps) mpsFile <- file() writeMps( mpsFile, cvec, bvec, Amat, "Steinhauser" ) ## delete all LP objects rm( cvec, bvec, Amat ) ## Read LP data from MPS file and solve it. lpModel <- readMps( mpsFile, TRUE, TRUE ) close( mpsFile ) ## Print the model and its result lpModel all.equal( result1a, lpModel$res ) ## example 1.1.3 of Witte, Deppe and Born (1975) ## Two types of Feed cvec <- c(2.5, 2 ) # prices of feed names(cvec) <- c("Feed1","Feed2") ## Constraints (minimum (<0) and maximum (>0) contents) bvec <- c(-10, -1.5, 12) names(bvec) <- c("Protein","Fat","Fibre") ## Matrix A Amat <- rbind( c( -1.6, -2.4 ), c( -0.5, -0.2 ), c( 2.0, 2.0 ) ) ## solve the model result2a <- solveLP( cvec, bvec, Amat ) ## Write to a (virtual) MPS file mpsFile <- file() writeMps( mpsFile, cvec, bvec, Amat, "Steinhauser" ) ## write the lines of this file to the output file mpsLines <- readLines( mpsFile ) close( mpsFile ) print( mpsLines ) ## Write to a (virtual) MPS file again (for readMps) mpsFile <- file() writeMps( mpsFile, cvec, bvec, Amat, "Steinhauser" ) ## delete all LP objects rm( cvec, bvec, Amat ) ## Read LP data from MPS file and solve it. lpModel <- readMps( mpsFile, TRUE ) close( mpsFile ) ## Print the model and its result lpModel all.equal( result2a, lpModel$res ) R version 2.10.1 (2009-12-14) Copyright (C) 2009 The R Foundation for Statistical Computing ISBN 3-900051-07-0 R is free software and comes with ABSOLUTELY NO WARRANTY. You are welcome to redistribute it under certain conditions. Type 'license()' or 'licence()' for distribution details. R is a collaborative project with many contributors. Type 'contributors()' for more information and 'citation()' on how to cite R or R packages in publications. Type 'demo()' for some demos, 'help()' for on-line help, or 'help.start()' for an HTML browser interface to help. Type 'q()' to quit R. > library( linprog ) Loading required package: lpSolve > > ## example of Steinhauser, Langbehn and Peters (1992) > ## Production activities > cvec <- c(1800, 600, 600) # gross margins > names(cvec) <- c("Cows","Bulls","Pigs") > > ## Constraints (quasi-fix factors) > bvec <- c(40, 90, 2500) # endowment > names(bvec) <- c("Land","Stable","Labor") > > ## Needs of Production activities > Amat <- rbind( c( 0.7, 0.35, 0 ), + c( 1.5, 1,3501220 ) ) > > ## model > result1aLP( cvec, bAmat, TRUE> mps(wMps(,"Steinhauser"whe lineisoutputL> closeprint() [1] " [2] "ROWS" [3] " N obj"4L Land"5St"6L [7] "COLUMNS8 wsobj1800" [9 0.7" [101.51 502Bulls 6[130.354 15126Pig738RH [2RHS 421922502ENDATA ag(Mps)delete all LPectsmReaddata fromndit. > lpMPits $ $ $b 4090 0.7 1.5 3 50.00 $res Rar Pming /Optimiz Oive (Maximum): 93Itersph1: 02: 2 Soluopt 44 24 0 Basic Varis.0.0 S0.8 Constraintac dir dual.reg 39.2 <=0.8990 2415.0 28137 All (includslack v min.cmaxmarg900.0 NANA450-Inf 1296-66.258731.092 S 0 >.equal(, ) >example 1.1.3Witte, DeppBorn (1975)Two typFeed ><- c(2 ) #cf()"1",2" (min (<0)m (>0) contentb-10, -12)bProatibreMatrix A >bind(-1.6,.4-0-0.22 Fat-02232.4222 -109120 -1 12. in10.4545201.818182 2.95455 S25 0.568182 3.61.53.1.39.50 -3.67 5-33.75S- S0.83 02library( "lin # x1 + x2, s.t.* x2 = 2 1 ) m(), nrow =2 a1c.= "=a a2S=2ax 27 *9 #-8 & 7427, 9c( 8, 741 bc( "=" > Warnmess In) : ) mreturn incorrs ifes ity cargu'''FALSE'; plecheckssame'';onbug 's R-Forge site00 2S = 01 9977 2> (us)2 2 > > > > > bax1998174748 =87474277474NA0--182+ b4044133proc.tim r system elapsed0.15.03170# E,gbeh Peters92), 6grossins ","",""40, 90,endow ,",") ,35,bose) # eleed.defaulalso estimaproblemD,.$con [-c(8,12)],D0,13)]bb4DDcccccDcc5,8c5,6,9 ">d--d[-8ddDdaDD)5eeeDD2 c(2.222222222b2b2222222c2<2abs())2222dD2e2222eDe24.1.221-11-01Bird Hippie21> > > > > > > > > > > $status $iter122 $allvar4$bas$sc$Tab00-0.9518005603.840 1.6048156-0.0320 Z-C0 0 $ter1 attr(,"clas"p0.0initial Tau" 4 19 1-0 Pivot Column: 1 ()Row: 3 () .17514 56241315 1.2005 0 -10.32 () > SSSP-0.70-580--1-11-320.04PMMM - 1-1 16 -1 M 581-3) ---0.875-05-285125.00- 64 3 2-7525 1 -8.571429.4285731250.5-1 101 0 57.431- 10- 42 003921420.37-4 ( S2 () 1000e+-431.702510-1-0e-0105-02.82 15.3440892e-16-2.220446 123114.4 -505126513e-14New IIS -1 501585.882354.0336134504201640.41270494117647 352103524.43.5 27.226890764 -94184.87396 ( -1041.488024-> cclpS> + d->--->= -> + + e eeE22a )5245220204242445004 SS1.00.2273610 0.pP0010.MM -5-10.6-11.5P00414.0.30.0- 10 331.10-8.- 1) M5-2.- 6-.80411 1.110223S26 -2.54-1 67 - 141767 at P0 01827 05 9cc+ c<2d>= >= > dDd2e2e eDe20617214 P V:-4 Date:2-03-09 Title:Author: Arne Hensen Maine Depends: R (>=.0) Descrip: Cands bysex algorithm. : GPL) URL:://.r-f Needsil: nod 17:21:04 UTC; gsl324 Repository: CRAN/P21:10:08 Built4.5.1; ;521 02:04:17unixC s S P Rexport( "imFrom",S3method( "",", "solveLP" ) )DvI1:``D"$z'9&%  `(0 c b Ĕ "m*zuj2D4fEN;¦GnQBĠ`뇵J2Ye] ?J],*Y$AYD.ePhڹb0}kZ]m 6>IpAx%[# xMvk-&k`վ(YBjfs[ܸDus^58 .yl:;7}HtۥKȔ-}@[M`2 sN],ɺ)ֳ׮:k0bt }%y_~ I%;p0\6HD6^'%#MvDoVRo=oUm1Qjo^Ԟȡb `pBz H u3ME ~X5dz$%?,t)c=<2q]%~8H(d8G2 rϠ蝴mpBD3 a6 QRP#P*"Nئ@llEޗ4GT3c,6m=ڳ7EIOȑsצT8?qz \6&"E#`J]p}HT8 5"vy {9Ft&k36 moF<6m$&ɢy!eC !߳f MNKk/:E{^ g*q b[@&XYH=ij#e郄ϻsA`ɩ7$Y+w. 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