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(߀]_g?M Oh+;lN+`E۰5 HRdOE"+6ՏWI͖Hˣ/9ܰ2A_vL:20e"DHq/1"d8HA" t!zD @BD ] Yԋ _w B/]Ȣ^Dp? 0l\XIENDB`j( / 0DArialr Newe MSll4vׯ0"DTimesr Newe MSll4vׯ0 DWingdingswe MSll4vׯ00DArial Unicode MSl4vׯ0@DCalibriicode MSl4vׯ0"PDCourier Newe MSl4vׯ01 B0.  @n?" dd@  @@``   8F(  *  O !#$%&'()*+,-./0123456h7`b$Ҳ/^5R$ЀT<7҆:^52$u2?=h[oR$+aA3a3p"$o]=rY)f2{S{( 22$?)!>`Tz.Gb$:ҪC%djgb$r-opd)D 0e0e     A@ A5% 8c8c     ?1 d0u0@Ty2 NP'p<'pA)BCD|E||# "0e@        @ABC DFGHIJK5%LMNOPQRSTUWYZ[ \]^_ `abN 5%  N 5%  N    5%    !"?N@ABC DFGHIJK5%LMNOPQRSTUWYZ[ \]^_ `abP@"@T AT ʚ;l8ʚ;g4UdUd4*A ׯ0ppp@  g4>d>d+A ׯ0p@ pp<4BdBd8vS0lv<4dddd8vS0lv`h___PPT2001D<4Xȅ___PPTMac11@f   hnamd` Arial&Monotype Typography    hnamd` Arial&Monotype Typography    hnamd` Arial&Monotype Typography    hnamd` Arial&Monotype Typography    hnamd` Arial&Monotype Typography    hnamd` Arial&Monotype Typography 0___PPT10 ?x+$October 16-18 2006 8 ILOG, All rights reservedO  =PIBM ILOG CPLEXTechnology Update Version 12CPLEX Technology Update V120What s new in CPLEX? The previous presentation What s old in CPLEX? I don t think we ever do these What s cool in CPLEX? That s this presentation It s a look back at the last several years Feature-centric rather than version-centric I ll highlight the things new in 11.2 and 12   /CPLEX Technology Update V12Outline: Default performance Performance features Solution pool Infeasibility analysis and repair Modeling features and connectors n { {  CPLEX Technology Update V12Performance First, default, out-of-the-box MIP Most important to the largest number of listeners Often the hardest to talk about That s not the focus of this presentation But I ll offer you a few insights: " "  @Speedup on  Impossible Problems6!CPLEX 12 MIP Improvement4CPLEX Technology Update V12bUnder-the-hood performance Where does the progress come from? Preprocessing Cutting planes Branching strategy Feasibility heuristics & and equally importantly, implementation:&q&q%CPLEX Technology Update V12Performance Features Deterministic Parallel repeated runs of the same model with the same parameter settings on the same machine reproduce the same solution path and result Default is now parallel if your license supports it Deterministic is a newly implemented search algorithm Exploits parallelism in solving nodes of search tree But provides repeatable, invariant solution path Small performance penalty compared to Opportunistic Parallel It avoids  I ran CPLEX on my model ten times to 1% mipgap... & and here are my ten answers. L A difficulty of implementing parallelism inside real applications Debug application, then use Opportunistic Parallel Time limits remain a minor source of non-determinism-ddjdd=dd5d H  j= w5 CPLEX Technology Update V12Performance oriented features For when defaults don t suffice Algorithms are controlled by CPLEX  parameters Tuning Tool Automates experimentation with parameters Sophisticated tactics, simple interface You can specify parameters to hold unchanged You can specify a family of models together You can specify multiple times to permute a model You can specify metric (mean time, min-max)TnQn n nQ   Productivity and UsabilityZPerformance Tuning Utility Identify parameters that yield better performance than defaults*@@ Tuning Tool exampleTCPLEX> tune Tuning on problem 'stein45.mps.gz' Test 'defaults': Integer optimal solution. Time = 8.87 sec. Objective = 30 Best bound = 30 Tuning progress: 13% Test 'short1': Time limit exceeded. Time = 0.89 sec. Objective = 31 Best bound = 22.875 Tuning progress: 14% Test 'short_test2': Time limit exceeded. Time = 0.89 sec. Objective = 31 Best bound = 23 Tuning progress: 16% Test 'short_test3': Time limit exceeded. Time = 0.89 sec. Objective = 31 Best bound = 22.6579 Tuning progress: 17% & . +d+ !Tuning Tool example (continued)& Test 'short_test27': Time limit exceeded. Time = 0.89 sec. Objective = 30 Best bound = 25.3333 Tuning progress: 53% Test 'long_test1': Integer optimal solution. Time = 7.95 sec. Objective = 30 Best bound = 30 Tuning progress: 69% Test 'long_test2': Integer optimal solution. Time = 7.22 sec. Objective = 30 Best bound = 30 Tuning progress: 85% Test 'long_test3': Integer optimal solution. Time = 7.69 sec. Objective = 30 Best bound = 30 Default test: Time = 8.87 sec. Best test: 'long_test2' Time = 7.22 sec. Fixed and tuned parameter settings: logfile * mip limits cutpasses 1 mip strategy heuristicfreq -1 mip strategy probe -1 mip strategy variableselect 4 Tuning - Complete. Time = 55.69 sec.d,"CPLEX Technology Update V12qPerformance oriented features Solution Polishing It is a second phase after Branch and Cut It resumes B&C but abandons optimality Parameters to control polishing (New in CPLEX 11.2): CPLEX> set mip polishafter Available polishing starting conditions: absmipgap set absolute MIP gap after which to start solution polishing mipgap set relative MIP gap after which to start solution polishing nodes set node count after which to start solution polishing solutions set solution count after which to start solution polishing time set time after which to start solution polishing R2d@d0r, , j#CPLEX Technology Update V12Performance oriented features Emphases CPLEX> set emphasis Available emphasis parameters: memory set reduced memory emphasis mip set emphasis for MIP optimization numerical set extreme numerical caution emphasis Emphasis parameter to set: mip Present value for emphasis for MIP optimization: 0 0 = balance optimality and integer feasibility 1 = integer feasibility 2 = optimality 3 = moving best bound 4 = finding hidden feasible solutions,'dd'$CPLEX Technology Update V120Performance oriented features MIP Starts Allows you to inject a trial feasible solution at the beginning of Branch and Cut If validated as feasible, CPLEX uses it If infeasible, CPLEX will try to repair it and use it You can provide a family of MIP starts (New in CPLEX 11.2) CPLEX evaluates them, and uses the best one Useful for sequences of solves: MIP - Integer optimal solution: Objective = 1.8000000000e+01 Solution time = 0.22 sec. Iterations = 7639 Nodes = 2054 CPLEX> ch bou 1 Lower 1 New bounds on variable '1': 0001 = 1 CPLEX> optimize 2 of 2 MIP starts provided solutions. MIP start 'm1' defined initial solution with objective 18.0000. & )dRd^P;d,P d9P)R^(,  9&CPLEX Technology Update V12Solution Pool Under defaults, CPLEX stores feasible solutions opportunistically User may specify more aggressive search New procedure populate may be invoked after or in place of the MIP Optimizer Populate itself has several intensity levels, including full enumeration Full enumeration can be a LOT   kids, don t try this at home User may specify the types of solutions retained Within a given % of optimality Diverse with respect to another solution Feasible with respect to other constraint(s)njnZ?Z1nuZj   " 1u 'Specifying solution propertiesScreen solutions via parameter settings Absolute tolerance on objective relative to objective of incumbent Relative tolerance on objective relative to objective of incumbent0)(Examining the poolt Change from Solution Name Objective Value Incumbent p1 97863.0000 92.86% p2 4505.0000 5.03% p3 4501.0000 5.03% p4 4457.0000 2.65% p5 4052.0000 4.76% p6 3994.0000 4.23% p7 3985.0000 4.76% p8 3983.0000 0.00% p9 3992.0000 0.53% p10 4035.0000 0.79% p11 4030.0000 0.79% p12 4055.0000 1.32% p13 4042.0000 1.06% p14 4033.0000 0.53% udu)CPLEX Technology Update V12HSolution Pool A powerful tool that supports a variety of uses Session at INFORMS Annual Meeting 2008 (Washington DC): Nieuwesteeg:  Efficient Frontier in Investment Portfolio Coping with data uncertainty Fernandez Pons:  Multiple Solutions for Two-phases MIP Decompositions Decomposing an intractable MIP Woodruff:  The use of VRP Solution Distance Measures in Various DSS Applications Multi-objective modeling Heinz:  Making Use of All Solutions to Measure to Progress of Formal Chip Design Verification Requirement for all feasible solutionsh:HR_'h:H    R_'v ,CPLEX Technology Update V12<Infeasibility Analysis and Repair FeasOpt In some applications,  no answer is no answer FeasOpt seeks a minimum relaxation Several metrics are offered Linear sum, integer count, or quadratic sum Optionally, will then optimize original objective Minimum relaxation becomes a constraint *R,2(*R,2 (  -CPLEX Technology Update V124Infeasibility Analysis and Repair Conflict Refiner An extension to IIS Covers Mixed Integer case A conflict is a set of mutually contradictory constraints and bounds within a model Refinement process removes irrelevant portions, leaving an minimal conflict An analysis tool, whereas FeasOpt is a repair tool&33.CPLEX Technology Update V12Infeasibility Analysis and Repair Conflicts and MIP Starts (New in CPLEX 11.2) Allows an answer to the question,  why is this supposedly feasible solution treated as infeasible? Maybe the model is incorrect Maybe the solution is incorrect A conflict may help determine the cause Potential use in identifying sharp cutting planes for a model:O<0CPLEX Technology Update V12Modeling features Logical Constraints In Concert modeling layer: IloIfThen(env, (x >= y && x >= z), IloNot(x <= 300 || y >= 700)) Lets you avoid numerical issues of big-M Lets you formulate in terms closer to your meaning Indicator Constraints In Callable Library Replace x  10000000000 z <= 0, z binary With z=0 -> x=0 And let the rest of the model constrain x when z=1 Same benefits as in Concert Logical constraints are implemented using Indicators Branching on indicators is seamlessly integrated into B&C>'ddAP\Pdd P!PP>PP5d:dA\   !>  5$$:((,B 1CPLEX Technology Update V12Modeling features (cont d) SOCP and Quadratically Constrained Programs Important problem class, for instance risk functions QCP is implemented as SOCP SOCP variations such as rotated cones (New in CPLEX 11.2) Fully integrated in MIP as MIQCPHG ,w#$ 2CPLEX Technology Update V120Modeling features .NET interface XML file format&5 CPLEX Technology Update V12n For more information on CPLEX, consult the documentation Release Notes, for an overview User s Manual, for full details on the features Reference Manuals, for calling sequences, etc.&:~:~Questions & Answers Thank You/ *+3  0` 33` Sf3f` 33g` f` www3PP` ZXdbmo` \ғq>9y`Ӣ` 3f3ff` 3f3FKf` hk]wwwfܹ` ff>>\`Y{ff` R>&- {p_/̴` |:u33` |:u33|` ||33|` ||33 >?" dd@ ?d_x@_$ d@-` n?" dd@   @@``PX    @ ` `0p>> N0 PH (  p  C :A"Original_Regular"H  0 QA "P0 A vCliquez pour modifier les styles du texte du masque Deuxime niveau Troisime niveau Quatrime niveau Cinquime niveau4 w  0XA "0 A d* 0    08^A " 0@  A x*40   f  0"A@  0cA " A d* 0   6gA "P 0    6phA "0' A PCliquez et modifiez le titre H  0޽h ? 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Q 0Q B _  H1 ?"0@NNN?NOB `  H1 ?"0@NNN?NO0ZB a  s *1 ?5" " TB b  c $1 ?" 0"  g  Tpc ?"6@ NNN?N 9N A Win occurs when one version is at least 10% faster than the other. An additional 971 models exceed 10000 seconds in both versions. 0 H   0޽h ? V]~80___PPT10.`jfH 0N0 @0(  x  c $*c 0'  c x  c $(;cP0 c H  0޽h ? V]~80___PPT10.E OH 0N0 `0(  x  c $c 0'  c x  c $(cP0 c H  0޽h ? V]~80___PPT10.E O 0N0 0(  x  c $,c 0'  c x  c $cP0 c H  0޽h ? V]~___PPT10i.E O+D=' E= @B +p 0N0 og(  ~  s *c 0'  c x  c $ԔcP0 c X  C 0APerfTuning4@p`   8c?GPTH@dJ~Ga N?Y"<?@@ `NNN?N`P cTuned parameter settingG    c?GIndicator of which parameters have been changed (from default)??G H  0޽h ?/  ||33 ___PPT10i.pe+D=' E= @B + 0N0 $(  r  S c 0'  c r  S cP0 c H  0޽h ? V]~___PPT10i.IJw+D=' E= @B + 0N0 $(  r  S   0'   r  S P0  H  0޽h ? V]~___PPT10i.I:+D=' E= @B + 0N0 0(  x  c $X( 0'   x  c $H)P0  H  0޽h ? V]~___PPT10i.E O+D=' E= @B + 0N0 00(  x  c $ ; 0'   x  c $cP0  H  0޽h ? V]~___PPT10i.E O+D=' E= @B + 0N0 @0(  x  c $,< 0'   x  c $ P0  H  0޽h ? V]~___PPT10i.E O+D=' E= @B + 0N0 P0(  x  c $@ 0'   x  c $@P0  H  0޽h ? V]~___PPT10i.E O+D=' E= @B +U 0N0  p(  ~  s *] 0'     c $nP0  "P@08@X  0A?     t?G HdJ~Ga N?Y"<?@@ `NNN?N ` p,$D0 x.Only collect solutions within 2% of optimality//F H  0޽h ? ||33 ___PPT10.oa+ DO' E= @B D ' = @BA?%,( < +O%,( < +DA' =%(D' =%(D' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*%(+8+0+0 + 0N0 0(  x  c $Z 0'   x  c $~P0  H  0޽h ? V]~___PPT10i./ +D=' E= @B + 0N0 0(  x  c $ 0'   x  c $`P0  H  0޽h ? V]~___PPT10i.E O+D=' E= @B + 0N0 0(  x  c $ 0'   x  c $ХP0  H  0޽h ? V]~___PPT10i.E O+D=' E= @B + 0N0 0(  x  c $ 0'   x  c $P0  H  0޽h ? V]~___PPT10i.E O+D=' E= @B + 0N0 0(  x  c $ 0'   x  c $P0  H  0޽h ? V]~___PPT10i.E O+D=' E= @B + 0N0 0(  x  c $ 0'   x  c $P0  H  0޽h ? V]~___PPT10i.E O+D=' E= @B + 0N0 0(  x  c $а 0'   x  c $аP0  H  0޽h ? V]~___PPT10i.E O+D=' E= @B + 0N0 0(  x  c $۰ 0'   x  c $۰P0  H  0޽h ? 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V]~___PPT10i.`!=+D=' E= @B + 0 @$(  $R $3    L $ S \SL  0  L " H $ 0޽h ? 3380___PPT10.1 0 ((  (R (3     ( S   0   " H ( 0޽h ? 3380___PPT10.1(  0   8 (    0e0e?4Slide Image Placeholder 1       X(e(e ?(Notes Placeholder 2"PK!Zf[Content_Types].xmlMO &2WR=cJ`F0iK`#̼vLw 9uSq:w`G ^i ½KI)c/ $oVjTMRc|}042ҥCƔM̏P~*ka/8^DkHbL8e i"K\XN\6rco4y@_;oPK!1_a _rels/.relsj0 ѽqCNo^K [ILcX&m߾0XFo;>0xM e`|X}đ I`߽N4aG2$RKIZ)4(M9`ctB{m:f@`3n|O,ܗr޾jxR0T ,0@}WBLǬ5vPK!ydrs/shapexml.xmlX[o: ~ uf=u@a-ˍY,I9KZ`-j$e"ŧ7k/Rh|eu!?]]"&pXt!:Nql 8n LQ-uoùڇ :j B׃T֋vR<S\r擎bnA饷b$=oe*T^޲E8o@wi[3̡]hiۢY-36(091 7Onw|w|rL<8pOBB/_ V?0M !F* 5<*ſFo_Sc~txڕƬk(`|[fŇ{Yaư?!X>fv`]5'|x]ќbZ_:vPK!9drs/downrev.xmlDJAEД11`ꀠypYNy25-*Y#x*l+QAU=>|kv"{L%PK-!Zf[Content_Types].xmlPK-!1_a /_rels/.relsPK-!y*drs/shapexml.xmlPK-!9drs/downrev.xmlPK 0`  H@___PPT9" ~Two primary take-aways  for me 6.5 & 11.0 70% solvable by 11.0, "  @   (e(e?6Slide Number Placeholder 3_  h*B   H  0޽h ? 3380___PPT10.wPC_ 0 o(  ^ S      c $  0   eQThis graph shows the speedup on a log scale, and how many problems are in each grouping. 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