%! % This file is a NONconforming PostScript file. (TeXPS: dvi->PostScript Driver dvitps, Version 3.9 of July 23, 1990\n)print flush % Copyright 1989 Stephan v. Bechtolsheim (unless otherwise stated) % applies to various prologue files. Read documentation for details. save % dvitps: BEGIN including file "/usr/local/lib/tex/TeXPS/pro/texpre.pro" /@bop0 { PsPrintEnabled { (Pass0: Page ) print == flush } {pop} ifelse } def /@eop0 { pop } def /@bop1 { PsPrintEnabled { (Pass1: Page ) print == flush } {pop} ifelse save DviTranslateVector-X DviTranslateVector-Y translate DviOrientationMatrix concat Page-H-Offset Page-V-Offset translate 3 1 roll translate 0 0 moveto Draft-Flag { @Draft } if /DriverDelta 0 def } def /@eop1 { pop showpage restore } def /@end { (Done!\n) print flush } def /@ReportVmStatus { (\n@ReportVmStatus: ) print print (: ) print vmstatus (max: ) print 20 string cvs print (, used: ) print 20 string cvs print (, level: ) print 20 string cvs print (\n) print flush } def /@ReportVmStatusNew { (VM: ) print exch print (, printer: ) print /Vmfree vmstatus pop exch pop def Vmfree ( ) cvs print (, driver: ) print dup ( ) cvs print (, delta: ) print Vmfree sub ( ) cvs print (\n) print flush } def /@Draft { gsave Page-H-Offset neg Page-V-Offset neg translate -45 rotate -150 0 moveto /Helvetica-Bold findfont [120.0 0 0 -120.0 0 0 ] makefont setfont (DRAFT) show grestore gsave Page-H-Offset neg Page-V-Offset neg translate 300 -100 moveto /Helvetica-Bold findfont [60.0 0 0 -60.0 0 0 ] makefont setfont Date-and-Time show ( :: ) show Dvi-File-Name show grestore } def /@snl {show currentpoint exch pop 72 exch moveto 0 -10 rmoveto}def /DoError { /Courier-Bold findfont 12 scalefont setfont 72 720 moveto (dvitps ERROR: ) show Dvi-File-Name show ( @ ) show HostName show /Courier findfont 10 scalefont setfont 72 700 moveto {/charcode exch def /thechar ( ) dup 0 charcode put def thechar (:) eq {() @snl} {thechar show} ifelse} forall {/charcode exch def /thechar ( ) dup 0 charcode put def thechar (:) eq {() @snl} {thechar show} ifelse} forall showpage } def /FatalFontList (Certain fonts that you have requested in your dvi file could not be:\ found on the system. Either these fonts have not been installed or they:\ do not exist in the magnifications you have requested. If the fonts are:\ installed, they will be in the directory /usr/local/lib/fonts/gf. The:\ standard font magnifications at Rutgers are 0, 0.5, 1, 1.5, 2, 3, 4, 5,:\ 6, 7, 8, and 9, corresponding to the numerical file extensions of fonts:\ in the above directory. If the filenames below differ only by numerical:\ extension to the ones in the directory, try adjusting your magnifications.:\ If the fontnames are not there at all, the font is not installed at Rutgers.:\ See the local TeX supporter.::\ The fonts which could not be found are listed below.::) def /FontSubstitutionList (Certain fonts that you requested in your dvi file could not be found:\ on the system. In order to print your document, other fonts that are:\ installed were substituted for these missing fonts.::\ Below is a list of the substitutions that were made.::) def /NoAvailableFonts (None of the fonts can be found on the above host. If you did not set:\ the TEXFONTS environment variable incorrectly, contact the operator or:\ the local system administrator.:) def % dvitps: END including file "/usr/local/lib/tex/TeXPS/pro/texpre.pro" % dvitps: BEGIN including file "/usr/local/lib/tex/TeXPS/pro/pos.pro" /a { rmoveto } def /DriverDelta 0 def /b { exch p dup /DriverDelta exch def 0 rmoveto } def /c { p DriverDelta 4 sub dup /DriverDelta exch def 0 rmoveto } def /d { p DriverDelta 3 sub dup /DriverDelta exch def 0 rmoveto } def /e { p DriverDelta 2 sub dup /DriverDelta exch def 0 rmoveto } def /f { p DriverDelta 1 sub dup /DriverDelta exch def 0 rmoveto } def /g { p DriverDelta 0 rmoveto } def /h { p DriverDelta 1 add dup /DriverDelta exch def 0 rmoveto } def /i { p DriverDelta 2 add dup /DriverDelta exch def 0 rmoveto } def /j { p DriverDelta 3 add dup /DriverDelta exch def 0 rmoveto } def /k { p DriverDelta 4 add dup /DriverDelta exch def 0 rmoveto } def /l { p -4 0 rmoveto } def /m { p -3 0 rmoveto } def /n { p -2 0 rmoveto } def /o { p -1 0 rmoveto } def /q { p 1 0 rmoveto } def /r { p 2 0 rmoveto } def /s { p 3 0 rmoveto } def /t { p 4 0 rmoveto } def /p { show } def /w { 0 exch rmoveto } def /x { 0 rmoveto } def /y { 3 -1 roll p rmoveto } def /u-string ( ) def /u { u-string exch 0 exch put u-string show } def /v { u-string exch 0 exch put currentpoint u-string show moveto } def % dvitps: END including file "/usr/local/lib/tex/TeXPS/pro/pos.pro" % dvitps: BEGIN including file "/usr/local/lib/tex/TeXPS/pro/rules.pro" /z { /dy exch def /dx exch def currentpoint currentpoint transform round exch round exch itransform newpath moveto dx 0 rlineto 0 dy rlineto dx neg 0 rlineto closepath fill moveto } def /z { /dy exch def /dx exch def currentpoint 0.2 0.2 rmoveto currentpoint newpath moveto dx 0 rlineto 0 dy rlineto dx neg 0 rlineto closepath fill moveto } def % dvitps: END including file "/usr/local/lib/tex/TeXPS/pro/rules.pro" /Dvi-File-Name (maros.dvi) def (Dvi file name: ") print Dvi-File-Name print (".\n) print /Draft-Flag false def /#copies 1 def /NumCharsInPixelFonts 256 def /HostName (konig.rutgers.edu) def (This PostScript file was produced on host \") print HostName print (\".\n) print /PsPrintEnabled true def /Page-H-Offset 0.000000 def /Page-V-Offset 0.000000 def /ExecPsConv {0.30 mul} def /Date-and-Time (Thu Jan 28 16:27 1993) def /DviTranslateVector-X 72.000 def /DviTranslateVector-Y 720.000 def /DviOrientationMatrix [ 0.240 0.000 0.000 -0.240 0.0 0.0 ] def % dvitps: BEGIN including file "/usr/local/lib/tex/TeXPS/pro/pixel-fonts.pro" /@newfont { /newname exch def newname 7 dict def newname load begin /FontType 3 def /FontMatrix [1 0 0 -1 0 0] def /FontBBox [0 0 1 1] def /BitMaps NumCharsInPixelFonts array def /BuildChar {CharBuilder} def /Encoding NumCharsInPixelFonts array def 0 1 NumCharsInPixelFonts 1 sub {Encoding exch /.undef put} for end newname newname load definefont pop } def /ch-image {ch-data 0 get} def /ch-width {ch-data 1 get} def /ch-height {ch-data 2 get} def /ch-xoff {ch-data 3 get} def /ch-yoff {ch-data 4 get} def /ch-tfmw {ch-data 5 get} def /CharBuilder { /ch-code exch def /font-dict exch def /ch-data font-dict /BitMaps get ch-code get def ch-data null eq not { ch-tfmw 0 ch-xoff neg ch-height ch-yoff sub neg ch-width ch-xoff neg add ch-yoff setcachedevice 0 0 transform round exch round exch itransform translate ch-width ch-height true [1 0 0 1 ch-xoff ch-height ch-yoff sub] {ch-image} imagemask } if } def /@dc { /ch-code exch def /ch-data exch def currentfont /BitMaps get ch-code ch-data put currentfont /Encoding get ch-code ( ) cvs % convert the character code to a string cvn ch-code exch put } def /@sf /setfont load def % dvitps: END including file "/usr/local/lib/tex/TeXPS/pro/pixel-fonts.pro" 1 @bop0 /@F16 @newfont @F16 @sf [< FFFC001C07001C03801C01801C00C01C00E01C00E01C00E01C00E01C00E01C00E01C00C01C 00C01C01801C03801C0600FFFC00> 19 17 0 16 23] 68 @dc [< FF801C001C001C001C001C001C001C001C001C001C001C001C001C001C001C00FF80> 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17 17] 122 @dc [< E0F0F8F870> 5 5 -5 4 13] 46 @dc @F20 @sf [< 7FFFFFC0FFFFFFE00000000000000000000000000000000000000000000000000000000000 000000FFFFFFE07FFFFFC0> 27 12 -2 15 32] 61 @dc @F15 @sf [< 1801801E0038038033001C01C071801C01C070C01C01C038C01C01C038C00E00E038400E00 E01C000E00E01C000E00E01C000700700E000700700E00C780700E00C780780E0063407C0E 006320760E002718630C001C0FC0F800> 34 18 -1 17 36] 109 @dc @F4 @sf [< FFF00000FFF000000780000007800000078000000780000003C0000003C0000003C0000003 C0000001E0000001E0000001E0000001FFF80000F01E0000F0070000F0038000F003C00078 01C0007801E0007801E0007801E0003C01E0003C01E0003C01E0003C03C001FFFF8001FFFE 00> 27 28 -2 27 28] 80 @dc [< 7F0000E18000F0E000F0600060700000700000380000380007B8000CF800183C00383C0038 1C00381C003C0E003C0E003C0E003C0E001E07001E07000E07000F070007078003878001CF 80007980> 17 26 -2 17 19] 103 @dc @F20 @sf [< 00060000000600000006000000060000000600000006000000060000000600000006000000 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03800703C00381C00381E00381E00381E001C0F001C0F031C0F031E0E018E0E018F0E00CD8 C0078780> 20 26 -1 17 21] 112 @dc @F20 @sf [< 001F0000007FC00000E0E00001C030000380300007801800070018000F000C000F000C000F 000C000F000C000F000C000F000C000F000C000F000C000F000C000F000C000F000C000F00 0C000F000C000F000C000F000C000F000C000F000C000F000C000F000C000F001E00FFF0FF C0FFF0FFC0> 26 29 -2 27 31] 85 @dc @F20 @sf [< 402010080804040474FCFCF870> 6 13 -3 28 12] 39 @dc 3 @eop0 0 0 3 @bop1 353 -58 a @F18 @sf(PERF)o(ORMANC)q(E)16 b(EV)l(ALUA)q -3 x (TION)q 17 x(OF)f(MINET)337 b(3)-1445 100 y @F20 @sf(-)14 b @F15 @sf(p)p @F20 @sf(\()p @F15 @sf(i)p @F20 @sf(\))43 b(predece)q(ssor)16 b(of)d(no)q (de)h @F15 @sf(i)p @F20 @sf(,)-531 53 y(-)g @F15 @sf(s)p @F20 @sf(\()p @F15 @sf(i)p @F20 @sf(\))45 b(thread)14 b(succe)q(ssor)i(of)d(no)q(de)h @F15 @sf(i)p @F20 @sf(,)-621 54 y(-)g @F15 @sf(t)p @F20 @sf(\()p @F15 @sf (i)p @F20 @sf(\))49 b(cardinalit)o(y)13 b(of)g(subtree)i(headed)g(b)o(y)f (no)q(de)g @F15 @sf(i)p @F20 @sf(,)-863 54 y(-)g @F15 @sf(f)t @F20 @sf(\()p @F15 @sf(i)p @F20 @sf(\))40 b(last)13 b(no)q(de)i(in)e(subtree)q 15 x (headed)i(b)o(y)e(no)q(de)h @F15 @sf(i)p @F20 @sf(,)-835 54 y(-)g @F15 @sf (id)p @F20 @sf(\()p @F15 @sf(i)p @F20 @sf(\))28 b(directed)15 b(no)q(de)f (iden)o(ti\014er)h(of)e(the)h @F15 @sf(i)p @F20 @sf(th)h(basic)f(arc.)-879 70 y(MINET)j(is)g(equipp)q(ed)g(with)g(a)f(newly)h(designed)g(column)g (selection)g(\(pricing\))g(tec)o(h-)-1444 54 y(nique,)c(called)f(NETPRI,)h (describ)q(ed)h(in)e([)p @F9 @sf(9)p @F20 @sf(],)g(that)h(can)g(tak)o(e)g (adv)n(an)o(tage)f(of)g(a)g(recognized)-1443 54 y(structure)q 19 x(of)18 b (a)g(problem.)31 b(The)19 b(purp)q(ose)g(of)f(this)g(tec)o(hnique)h(is)g (to)f(reduce)i(the)f(o)o(v)o(er-)-1445 54 y(all)14 b(computational)g (e\013ort)j(sp)q(en)o(t)f(on)f(pricing.)23 b(It)15 b(is)h(con)o(trolled)f (b)o(y)g(3)g(parameters.)24 b(By)-1444 54 y(sp)q(ecial)18 b(setting)g(of)f (them,)h(it)f(is)h(p)q(ossible)f(to)h(repro)q(duce)h(most)f(of)f(the)h (kno)o(wn)f(pricing)-1445 54 y(strategies.)-132 56 y(Due)f(to)g(the)h (fact)f(that)g(randomly)f(generated)j(problems)e(usually)f(do)h(not)g(ha)o (v)o(e)g(an)o(y)-1445 54 y(recognizable)c(structure,)h(this)e (sophisticated)h(pricing)f(feature)h(of)e(MINET)i(w)o(as)f(not)g(used)-1444 53 y(during)i(the)i(exp)q(erimen)o(ts.)k(The)14 b(presen)o(t)h(\014xed)f (setting)g(of)f(the)i(parameters)f(repro)q(duce)q(s)-1443 54 y(the)g @F4 @sf (le)n(ast)h(r)n(e)n(c)n(ently)f(c)n(onsider)n(e)n(d)h(\(LR)o(C\))f @F20 @sf (en)o(tering)g(rule)g([)p @F9 @sf(2)p @F20 @sf(].)-903 56 y(The)h(most)g (imp)q(ortan)o(t)f(parts)h(of)g(the)g(main)f(algorithmi)o(c)g(steps)j(of)d (MINET,)h(as)g(used)-1444 54 y(during)f(the)g(testing,)g(can)g(b)q(e)g (summarized)g(as)g(follo)o(ws.)-851 84 y @F9 @sf(Step)h(0.)20 b @F4 @sf (Initialization.)f @F20 @sf(Create)d(all{l)o(ogi)o(cal)d(basis.)20 b(Set) 15 b(principal)e(pricing)h(p)q(oin)o(ter)-1295 54 y @F15 @sf(p)e @F20 @sf (=)g @F15 @sf(m)i @F20 @sf(\(the)h(n)o(um)o(b)q(er)f(of)f(edges\))i(and)f (set)h(up)f(pricing)f(v)o(ector.)-1105 55 y @F9 @sf(Step)g(1.)18 b @F4 @sf (Pricing.)f @F20 @sf(Start)c(pricing)g(at)f @F15 @sf(p)7 b @F20 @sf(+)g(1) 13 b(\(mo)q(d)f @F15 @sf(m)p @F20 @sf(\),)h(price)g(the)h(non)o(basic)e (arcs)i(and)-1296 54 y(stop)j(at)f(the)h(\014rst)g(impro)o(ving)d(arc.)26 b (Set)16 b(p)q(oin)o(ter)h @F15 @sf(p)f @F20 @sf(to)g(the)h(index)f(of)f (this)i(arc.)-1296 54 y(If)h(no)f(impro)o(ving)f(arc)i(can)g(b)q(e)h (found,)f(stop)g(\(solution)f(optimal)o(,)g(or)h(problem)-1296 54 y (infeasible\).)-295 56 y @F9 @sf(Step)h(2.)30 b @F4 @sf(Pivot.)g @F20 @sf (T)m(race)18 b(the)g(lo)q(op)f(created)j(b)o(y)d(the)i(en)o(tering)f(arc)g (in)f(the)i @F15 @sf(T)k @F20 @sf(basis)-1295 54 y(tree)18 b(and,)e(sim)o (ultaneously)m(,)o 15 x(do)g(the)h(ratio)e(test.)25 b(Start)17 b(from)e(b)q (oth)h(endp)q(oin)o(ts)-1295 54 y(of)g(this)h(arc)g(and)f(mo)o(v)o(e)g(up)o (w)o(ards)g(in)g(the)h(direction)g(of)f(the)h(ro)q(ot)f(of)g @F15 @sf(T) 6 b @F20 @sf(.)26 b(Mo)o(v)o(e)-1296 54 y(alw)o(a)o(ys)15 b(on)g(the)h (smaller)f(subtree.)24 b(Stop)16 b(ratio)f(test)h(immediately)e(if)h(a)g (0)g(ratio)-1296 54 y(is)f(encoun)o(tere)q(d.)19 b(The)c(corresp)q(onding)f (arc)h(will)d(lea)o(v)o(e)i(the)g(basis.)-1163 55 y @F9 @sf(Step)g(3.)19 b @F4 @sf(Up)n(dating.)f @F20 @sf(Up)q(date)d(solution,)d @F15 @sf(T)6 b @F20 @sf(,)14 b(and)g(pricing)f(v)o(ector.)19 b(Go)13 b(to)h(step)h(1.)-1328 84 y(Step)f(2)f(ensures)q 15 x(that)g(the)i(\\smaller)d(subtree)q(")i (will)e(alw)o(a)o(ys)h(b)q(e)h(as)g(small)e(as)i(p)q(ossible,)-1445 54 y (th)o(us)g(up)q(dating)g(w)o(ork)f(will)g(b)q(e)h(reduced)q 15 x(to)g(a)f (minim)o(um)o(.)-879 56 y(Logically)o 16 x(the)19 b(most)e(complicated)g (part)h(of)f(the)h(program)f(is)h(the)g(up)q(dating)f(of)g(the)-1444 54 y (basic)12 b(spanning)g(tree.)18 b(In)12 b(step)h(2,)e(there)j(is)d(an)h (e\013ort)h(to)e(minimize)g(this)h(w)o(ork.)17 b(In{depth)-1444 54 y(in)o (v)o(estigation)d(has)i(sho)o(wn)g(that,)g(after)g(all,)f(up)q(dating)g (is)h(a)f(less)h(decisiv)o(e)h(factor)f(in)f(the)-1444 54 y(running)k (time)g(of)g(MINET)g(than)g(pricing.)34 b(T)m(able)19 b(5)g(and)g(mo)q (del)f(\(4.1\))h(in)g(section)h(4)-1445 54 y(sho)o(w)15 b(an)f(example)h (that,)g(b)o(y)f(Sp)q(earman's)h(rank)g(correlation,)g(there)h(ma)o(y)e(b)q (e)h(a)g(p)q(erfect)-1443 54 y(p)q(ositiv)o(e)c(relationship)g(b)q(et)o(w)o (een)i(the)f(n)o(um)o(b)q(er)f(of)g(scanned)i(v)n(ariables)e(and)g (solution)f(time.)-1445 54 y(The)16 b(same)g(is)f(usually)g(not)g(true)i (for)e(the)h(relation)f(b)q(et)o(w)o(een)i(the)f(n)o(um)o(b)q(er)g(of)f (iterations)-1445 54 y(\(whic)o(h,)e(in)f(most)g(cases,)i(is)f(a)f(go)q(o)q (d)g(estimate)i(of)e(the)h(tree)h(up)q(dates\))g(and)e(solution)g(time.) -1445 54 y(Simila)o(r)h(observ)n(ations)h(ha)o(v)o(e)g(b)q(een)h(made)e (on)h(a)g(large)f(n)o(um)o(b)q(er)h(of)g(other)g(problems.)-1311 55 y (MINET)20 b(has)g(b)q(een)h(used)g(to)e(solv)o(e)h(large)f(scale)i (real{life)d(problems)i(for)g(a)f(couple)-1444 54 y(of)d(y)o(ears.)25 b (During)15 b(this)h(p)q(erio)q(d)h(it)f(encoun)o(tered)i(a)e(large)f(n)o (um)o(b)q(er)i(of)e(v)o(ery)i(degenerate)-1443 b 3 @eop1 4 @bop0 @F18 @sf [< 03FE03FE0070007000700070FFFEFFFEC07060703070187008700C7006700370017001F000 F000700030> 15 21 -1 20 18] 52 @dc @F20 @sf [< 3E006180F1C0F0C060E000E000E000E000E000E000E000E000E000E000E000E000E000E000 E000E000E000E000E000E00FE00FE000000000000000000000000001C003E003E003E001C0 > 11 37 3 28 13] 106 @dc @F4 @sf [< 180600F0380E01981C07038C1C0703841C0701C61C0701C60E0381C20E0380E00E0380E00E 0380E00701C0700701C070C701C070C781E07063C1F0706341D07033318C601E1F07C0> 31 18 -3 17 34] 109 @dc [< 03C7000E6C800C3CC00C1C601C1C601C1C600E0E200E0E000E0E000E0E00070700070700C3 87004387006383802383801383800F0180> 19 18 -3 17 22] 117 @dc [< 780000EC0000F60000F7000067000007000003800003800003800003800003C00001C00001 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3800380C38063806180218011800F0000000000000000000000000000C001E001E000E> 15 36 1 27 13] 106 @dc [< 80402010100808043C3C3C3C1C> 6 13 -3 4 13] 44 @dc @F12 @sf [< F0001C00070003000380038003800380038003800380038003800380038003800380018001 C000E0003C00E001C001800380038003800380038003800380038003800380038003800380 030007001C00F000> 14 41 -3 30 21] 103 @dc 4 @eop0 0 0 4 @bop1 -58 w @F18 @sf(4)563 b(ISTV)4 -8 y(\023)-22 8 y(AN)16 b(MAR)o (OS)-863 100 y @F20 @sf(problems.)i(Suc)o(h)12 b(problems)h(caused)h (MINET)e(to)h(mak)o(e)f(man)o(y)f(degenerate)j(steps.)19 b(In)13 b(an)-1445 53 y(e\013ort)e(to)f(try)h(to)f(decrease)q 12 x(the)h(n)o(um)o(b)q(er)f (of)g(them,)h(a)f(new)h(an)o(ti{degeneracy)g(ro)o(w)f(selection)-1444 54 y (pro)q(cedure)k(w)o(as)e(in)o(tro)q(duced)h([)p @F9 @sf(10)p @F20 @sf(])e (and)h(exp)q(erimen)o(tally)g(implemen)o(ted)f(in)h(MINET.)g(The)-1444 54 y (idea)i(b)q(ehind)g(it)f(can)h(brie\015y)h(b)q(e)f(sk)o(etc)o(hed)h(as)f (follo)o(ws.)-831 63 y(During)20 b(degenerate)q 22 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@F18 @sf [< 0C18000C18000C1800060C00060C00060C00060C00060C00030600FFFFFFFFFFFF01830001 830001830000C18000C18000C180FFFFFFFFFFFF0060C00060C00030600030600030600030 60003060001830001830001830> 24 29 -2 22 29] 35 @dc @F3 @sf [< 3FC03FE007000700038003803B806780C3C0C1C0C1C0C1C0E0E0E0E0E0E060E0707030F018 F00710> 12 20 -4 13 16] 113 @dc @F1 @sf [< 007F000380C00600200C0010180008300008700004700004E00004E00000E00000E00000E0 0000E00000E0000470000470000430000C18000C0C001C06002C0381CC007E04> 22 23 -2 22 28] 67 @dc [< 03F0000C0C00180600300300600180600180C000C0C000C0C000C0C000C0C000C040008060 01803003001806000C0C0003F000> 18 17 -1 16 22] 111 @dc [< F820FC70703020703020C83020C83020C8302184302184302302302302302601302601302C 00B02C00B02C00B0380070F8007C> 22 17 -1 16 26] 109 @dc [< FC0030003000300030003000300030003FF03018300C300630063006300C3018FFF0> 15 17 -1 16 19] 112 @dc [< 03E0000C180018040010040030020030020030020030020030020030020030020030020030 0200300200300200300700FC0F80> 17 17 -1 16 21] 117 @dc 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17 -1 16 21] 121 @dc [< FE0030003000300030003040304030C03FC030C0304030403004300430083018FFF8> 14 17 -1 16 18] 102 @dc [< 87E0D810E008C0048006800680060006000E001C01FC0FF83FE07F007000E000C004C004C0 04400C601C306C0F84> 15 23 -2 22 21] 83 @dc [< FFFF80> 17 1 0 8 19] 123 @dc [< FFE007000700070007000700070007000700070007000700070007000700070007000700F7 000F000300> 11 21 -3 20 19] 49 @dc [< 1F0020C040608030E038E0384038003800380030207030602F80200020002000200022003F C03FE03030> 13 21 -2 20 19] 53 @dc [< 0F8030606030C010C018C018C018C038607031F01FE01F803EC03C60703060306030603020 6010C00F80> 13 21 -2 20 19] 56 @dc [< FFFF001C01C01C00E01C00701C00381C00381C00381C00381C00301C00701C00E01FFFC01F FF801C01C01C00E01C00701C00701C00701C00701C00601C00E01C0380FFFE00> 21 23 -2 22 27] 66 @dc [< FF80001C00001C00001C00001C00001C00001C00001C00001C00001C00001C00001FFE001C 03801C00C01C00E01C00701C00701C00701C00701C00E01C00C01C0380FFFE00> 20 23 -2 22 26] 80 @dc [< 00FF000381C00E00701C003838001C38001C70000E70000EE00007E00007E00007E00007E0 0007E00007E0000760000670000E30000C1800181C00380600600381C0007E00> 24 23 -2 22 30] 79 @dc [< F81F80300E00100C000818000C380004300002600001C00001C00001800003400007600006 20000C1000180800181C00FC1F00> 17 17 -1 16 21] 120 @dc [< 0F8018C03060703060386038E038E038E038E030F070E860E780E000600070003038303818 180C1003E0> 13 21 -2 20 19] 54 @dc [< 0F8030E04070C030E038E038003800380030007000E00F8001C000E0006000707070707060 6030C00F80> 13 21 -2 20 19] 51 @dc @F18 @sf [< 60F0F06000000000000060F0F060> 4 14 -3 13 10] 58 @dc [< FFFF00FFFFC01E01E01E00F01E00781E00781E00781E00781E00781E00F01E01E01FFFC01F FF801E01C01E01E01E00F01E00F01E00F01E00F01E01E01E03E0FFFF80FFFF00> 21 23 -1 22 25] 66 @dc @F18 @sf [< 00FF000300F00C001C1800003078E030CD9861878863838CC3038CC7038CC7038CC7038CC7 038CC7038CC3038C63839861861830CC303078301800600C00C003030000FC00> 22 23 -2 22 27] 64 @dc 19 @eop0 0 0 19 @bop1 353 -58 a @F18 @sf(PERF)o(ORMANC)q(E)16 b(EV)l(ALUA)q -3 x (TION)q 17 x(OF)f(MINET)319 b(19)-1445 100 y @F20 @sf(relativ)o(e)18 b (e\016ciency)i(of)d(co)q(des.)33 b(It)19 b(turned)g(out)g(that)f(the)h (optimizing)e(capabilit)o(y)g(of)h(a)-1445 53 y(compiler)e(can)g(impro)o (v)o(e)f(timings)g(b)o(y)h(more)g(than)g(40%.)24 b(It)16 b(also)g(b)q (ecame)h(eviden)o(t)f(that)-1444 54 y(time)h(measuring)f(under)i(UNIX)f (op)q(erating)g(system)g(can)g(b)q(e)h(rather)g(unreliable)e(giving)-1446 54 y(an)f(at)g(least)h(40%)e(wide)i(range)f(of)g(solution)g(times.)22 b (The)16 b(former)f(observ)n(ation)g(suggests)-1443 54 y(that)d (information)e(on)i(co)q(de)h(optimization)d(m)o(ust)i(alw)o(a)o(ys)f(b)q (e)i(pro)o(vided,)f(while)g(the)g(latter)-1444 54 y(necess)q(itates)j(an)f (in{depth)g(analysis)f(of)g(time)h(measuring)g(in)f(UNIX.)-615 104 y @F9 @sf (9.)24 b(Ac)o(kno)o(wledgmen)o -1 x(ts)-892 79 y @F20 @sf(The)15 b(author)f (is)h(indebted)g(to)g(the)g(t)o(w)o(o)f(anon)o(ymous)g(referees)q 16 x (for)g(their)h(helpful)f(com-)-1445 54 y(men)o(ts.)482 104 y @F2 @sf (References)-824 66 y @F18 @sf(1.)j(Cro)o(wder,)f(Dem)o(b)q(o,)g(and)f (Mulv)o(ey,)g @F3 @sf(R)n(ep)n(orting)j(Computational)f(Exp)n(erime)q(nts)g (in)g(Mathematic)n(al)-1380 42 y(Pr)n(o)n(gr)n(amming)p @F18 @sf(,)d (Mathematic)o(al)c(Programming)g @F8 @sf(15)i @F18 @sf(\(1978\),)e(315{32)o (9.)-1027 41 y(2.)17 b(Cunningh)o(am,)9 b(W.)h(H.,)g @F3 @sf(The)n(or)n (etic)n(a)q(l)i(Pr)n(op)n(erties)h(of)e(the)h(Network)g(Simplex)g(Metho)n (d)p @F18 @sf(,)f(Mathematics)-1383 42 y(of)g(Op)q(eration)o(s)f(Researc)o (h)g @F8 @sf(4)i @F18 @sf(\(1979\),)e(196{20)o(8.)-702 41 y(3.)17 b(Gal,) 10 b(T.,)i(Geue,)e(F.,)h @F3 @sf(A)i(New)g(Pivoting)g(R)o(ule)h(for)e (Solving)i(V)m(arious)f(De)n(gene)q(r)n(acy)q 14 x(Pr)n(oblems)p @F18 @sf (,)f(Op)q(er-)-1382 42 y(ations)e(Researc)o(h)o 11 x(Letters)g @F8 @sf(11)i @F18 @sf(\(1992\),)e(23{32.)o -689 41 a(4.)17 b(Green)o(b)o 1 x(erg)o(,) 10 b(H.)j(J.,)e @F3 @sf(Computational)j(T)m(esting:)i(Why,)d(How,)g(and)g (How)h(Much)p @F18 @sf(,)e(ORSA)g(Journal)e(on)-1382 42 y(Computing)g @F8 @sf(2)i @F18 @sf(\(1990\),)o 11 x(94{97)o(.)-480 41 y(5.)17 b (Klingman,)f(D.,)i(Napier,)e(A.,)i(Stutz,)o 17 x(J.,)f @F3 @sf(NETGEN|A)i (pr)n(o)n(gr)n(am)g(for)e(gener)n(ating)i(lar)n(ge{sc)n(a)q(le)-1380 42 y (\(un\)c)n(ap)n(acitate)n(d)g(assignment,)f(tr)n(ansp)n(ortation)f(and)h (minimum)f(c)n(ost)h(\015ow)f(pr)n(oblems)p @F18 @sf(,)h(Manage-)-1383 41 y (men)o(t)11 b(Scienc)o(e)f @F8 @sf(20)j @F18 @sf(\(1974\))o(,)d(814{821)o (.)-564 42 y(6.)17 b(Lo)o(v)o(e,)d(R.)h(R.,)g @F3 @sf(T)m(r)n(a\016c)i (sche)n(duling)g(via)f(Benders)g(de)n(c)n(o)q(mp)n(osition)p @F18 @sf(,)h (Mathematic)o(al)c(Programming)-1383 41 y(Study)o 11 x @F8 @sf(15)f @F18 @sf (\(1981\),)o 11 x(102{1)o(24.)o -454 42 a(7.)17 b(Maros,)10 b(I.,)h @F3 @sf (MINET)h(a)g(F)m(ast)h(Network)g(LP)g(Solver)p @F18 @sf(,)f(I)q(IASA)f(W)m (orking)f(P)o(ap)q(er)g(WP{87{50)o(,)g(In)o(terna)o(-)-1383 41 y(tional)o 11 x(Institu)o(te)g(for)h(Applied)f(Systems)h(Analysis,)f(A{2361)g(Laxen)o (burg)o(,)g(Austria,)h(1987.)-1293 42 y(8.)17 b(Maros,)f(I.,)h @F3 @sf (MINET)f(F)m(ast)h(Network)h(LP)g(Solver,)h(Description)e(and)h(User's)e (Guide)i(for)f(V2.00)p @F18 @sf(,)-1381 41 y(I)q(IASA)e(W)m(orking)g(P)o (ap)q(er)f(WP{88{6,)i(In)o(ter)o(nat)o(ion)o(al)e(Institute)o 15 x(for)h (Applied)f(Systems)h(Analysis,)-1383 42 y(A{2361)10 b(Laxen)o(bu)o(rg,)g (Austria,)g(1988.)-574 41 y(9.)17 b(Maros,)10 b(I.,)g @F3 @sf(A)i (Structur)n(e)h(Exploiting)g(Pricing)g(Pr)n(o)n(c)n(e)o(dur)n(e)q 13 x(in)f (the)g(Primal)h(Network)f(Simplex)i(A)o(lgo-)-1381 42 y(rithm,)p @F18 @sf (,)d(R)o(UTCO)q(R)i(Researc)o(h)o 11 x(Rep)q(ort)o(,)e(RRR)g(#18{91,)f(R)o (UTCO)q(R,)j(Rutgers)o 11 x(Univ)o(ersit)o(y)o(,)d(1991.)-1425 41 y(10.) 17 b(Maros,)10 b(I.,)h @F3 @sf(A)h(Pr)n(actic)n(al)i(A)o(nti{De)n(gene)q (r)n(ac)q(y)g(R)n(ow)e(Sele)n(ction)i(T)m(e)n(chnique)g(in)e(Network)h (Line)n(ar)g(Pr)n(o-)-1381 42 y(gr)n(amming)p @F18 @sf(,)g(R)o(UTCOR)g (Researc)o(h)d(Rep)q(ort,)g(RRR)i(#4{92,)e(1992.)-976 41 y(11.)17 b(McGeo)q (c)o(h,)o 10 x(C.)11 b(C.,)g @F3 @sf(The)h(First)g(DIMA)o(CS)f (International)i(A)o(lgorithm)g(Implementation)g(Chal)r(lenge:)-1380 42 y (The)g(Cor)n(e)g(Exp)n(eriments)p @F18 @sf(,)g(DIMA)o(CS,)f(August,)e (1991.)-813 41 y(12.)17 b(McGeo)q(c)o(h,)o 10 x(C.)11 b(C.,)g @F3 @sf(The)h (First)g(DIMA)o(CS)f(International)i(A)o(lgorithm)g(Implementation)g(Chal)r (lenge:)-1380 42 y(The)g(Benchmark)h(Exp)n(erime)q(nts)p @F18 @sf(,)e (DIMA)o(CS,)g(Decem)o(b)q(er,)e(1991.)-906 91 y @F1 @sf(Computer)j(and)g (A)o(utoma)n(tion)f(Institute,)j(Hungarian)d(A)o(cademy)h(of)h(Sciences,)g (H{1518)-1444 42 y(Bud)o(apest,)h(P.O.Bo)o(x)d(63.,)i(Hungar)n(y)-526 54 y @F3 @sf(Curr)n(ent)f(addr)n(ess)s @F18 @sf(:)k(R)o(UTCOR,)c(Rutgers)e(Cen)o (ter)g(for)g(Op)q(erations)f(Researc)o(h,)o 11 x(Rutgers)h(Univ)o(ersit)o (y)o -3 x(,)-1446 41 y(P)m(.O.Bo)o(x)g(5062,)f(New)j(Brunswic)o(k,)o 11 x (NJ)f(08903)-590 54 y @F3 @sf(E-mail)h(addr)n(ess)s @F18 @sf(:)k (maros@rutcor.r)o(utg)o(ers.)p(e)o(du)o 11 x(and)10 b(h107mar@ella)o(.h)o (u)o -1050 303 a 19 @eop1 (\nEND-JOB maros.dvi\n) print flush restore