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Q & A ... °Ô½ÃÆÇ  (Optimization)


¡Ø ¾È³çÇϽʴϱî..?
    ÀúÈñ KSTECÀÇ Á¦Ç°À̳ª ¼­ºñ½º¿¡ ´ëÇØ ±Ã±ÝÇϽŠÁ¡À̳ª ±â¼úÁö¿øÀ» ¿øÇϽô °í°´´ÔÀº ȸ»ç¸í,
    ºÎ¼­¸í, ¼º¸í, »ç¿ëÁ¦Ç°¸í, Á¦Ç° VERSIONÀ» ¸í½ÃÇÏ¿© Áֽñ⠹ٶø´Ï´Ù.

¡Ø °Ô½ÃÇϽг»¿ë¿¡ ´ëÇØ¼­´Â ½Å¼ÓÇÏ°Ô ´äº¯ÇØ µå¸®°Ú½À´Ï´Ù.
¡Ø ÇØ´çµÇ´Â Á¦Ç°±ºÀ» ¼±ÅÃÇϽŠÈÄ ÇÏ°í ½ÍÀ¸½Å ¸»¾¸À» Àû¾î ÁֽʽÿÀ.

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B&B ¼öÇà °á°ú Ãâ·Â ¿É¼Ç
ÀÛ¼ºÀÚ
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2002-05-27
Á¶È¸¼ö 1226 È¸
÷ºÎÆÄÀÏ Ã·ºÎµÈ ÆÄÀϾøÀ½.

´äº¯1) CPLEX¿¡¼­´Â B&B¸¦ ¼öÇàÇϱâ Àü¿¡ ¹Ì¸® Á¦°øµÈ ´Ù¾çÇÑ CUTÀ» ÀÌ¿ëÇØ Pre-ProcessingÀ» ÇÕ´Ï´Ù. ÀÌ °úÁ¤Àº B&BÀÇ Root Node¿¡¼­ ¼öÇàµÇ´Â °ÍÀ̱¸¿ä. µû¶ó¼­ CUTµÈ ³ëµå¶ó´Â °ÍÀº ¾ø½À´Ï´Ù. ±×·¸±â ¶§¹®¿¡ CUTµÈ ³ëµå¸¦ º»´Ù´Â °ÍÀº ºÒ°¡´ÉÇϰÚÁÒ..
Âü°í·Î, ÀÌ ¿¹Á¦¿¡¼­´Â ´ÜÁö CUTÀ» ¼öÇàÇÏ´Â °úÁ¤¸¸À¸·Î Á¤¼öÇØ¸¦ ±¸ÇßÀ¸¸ç, ±× ÇØ°¡ ÃÖÀûÇØÀ̱⠶§¹®¿¡ ´õÀÌ»ó B&B¸¦ ¼öÇàÇÏÁö ¾Ê°í CPLEX°¡ Á¾·áµÇ¾ú½À´Ï´Ù.
ÀÌó·³ ¹®Á¦ÀÇ ÇüÅ¿¡ µû¶ó¼­ CUTÀ» ¼öÇàÇÏ´Â °Í¸¸À¸·Îµµ ÃÖÀûÇØ¸¦ ±¸ÇÏ´Â °æ¿ì°¡ ÀÖ°Ô µÇ´Â°ÅÁÒ.



:¶ÇÇÑ, Áö³­¹ø ¸»¾¸ÇØ ÁֽŠreduced cost¸¦ º¸±âÀ§ÇØ
:display -> solution -> reduced¸¦ ÀÔ·ÂÇØ¼­ °ªÀ» È®ÀÎÇߴµ¥,
:¸Â´ÂÁö¿ä?
:

´äº¯2) Interactive Optimizer¸¦ »ç¿ëÇÏ°í °è½Ã´Â°Í °°±º¿ä. ÀúÈñ´Â C++À» »ç¿ëÇÑ Concert Technology¸¦ »ç¿ëÇϽñ⸦ ±ÇÀåÇÕ´Ï´Ù.
Interactive Optimizer¿¡¼­ Reduced Cost¸¦ °¡Á®¿À´Â °úÁ¤Àº display -> solution -> reduced°¡ ¸Â½À´Ï´Ù.
±×¸®°í, Conceret Technology¸¦ »ç¿ëÇϽŴٸé, getReducedCost() ÇÔ¼ö¸¦ ÀÌ¿ëÇÏ½Ã¸é µË´Ï´Ù.



:¾Æ...ÇѰ¡Áö ´õ ¾Ë°í½Í½À´Ï´Ù.
:mpsÆÄÀÏ (mixed integer programming)À» ¸¸µå´Â notation¿¡ ´ëÇØ ¾Ë°í ½Í½À´Ï´Ù.
:
:cplex reference manualÀÇ example.mpsÀ» ºÃÁö¸¸ ³»¿ëÀ» Àß ¸ð¸£°Ú½À´Ï´Ù.
:

´äº¯3) mps ÆÄÀÏÀº CPLEX¿¡¼­ ÀÚüÀûÀ¸·Î Á¤ÀÇÇÑ ÆÄÀÏ Çü½ÄÀÌ ¾Æ´Ï¶ó, LP ÆÄÀϰú °°ÀÌ ÃÖÀûÈ­ ¸ðµ¨À» Ç¥ÇöÇÏ´Â ÀϹÝÀûÀÎ ÆÄÀÏ Çü½ÄÀÔ´Ï´Ù. µû¶ó¼­, mps ÆÄÀÏÀ» ¸¸µå´Â ¹æ¹ý¿¡ ´ëÇØ¼­´Â ´Ù¸¥ Âü°í¼­ÀûÀ» ÀÌ¿ëÇϽñ⠹ٶø´Ï´Ù.



:ÇÑ °¡Áö ´õ...
:cplex·Î ¹®Á¦¸¦ Ç®¸é cplex.log¿¡ °á°ú°¡ ÀúÀåµÇ´Âµ¥,
:Ʋ¸° °á°ú´Â ÀúÀåÀÌ ¾ÈµÇ´Â °Í °°½À´Ï´Ù.
:log ÆÄÀÏ¿¡ ÀúÀåµÇ´Â ³»¿ëÀÇ ±âÁØÀÌ ¹«¾ùÀÎÁö ¾Ë°í ½Í½À´Ï´Ù.
:

´äº¯4) cplex.log ÆÄÀÏ¿¡´Â CPLEX¸¦ ¼öÇàÇÒ ¶§ ¾Ë°í¸®ÁòÀÌ ¼öÇàµÇ´Â °úÁ¤À» ¸ðµÎ ±â·ÏÇÕ´Ï´Ù. ´ç¿¬È÷ Á¦´ë·Î ¼öÇàÀÌ µÇ´Â °æ¿ì¸¸ ±â·ÏÀÌ µÇ°ÚÁÒ. (Infeasible SolutionÀ̰ųª Unbounded SolutionÀÎ °æ¿ì¿¡µµ ±â·ÏµË´Ï´Ù.)
±×·±µ¥, CPLEXÀÇ parameter¸¦ ÀÌ¿ëÇÏ¿© Ãâ·ÂÇÏ´Â Á¤º¸ÀÇ Á¾·ù¸¦ Á¦¾îÇß´Ù¸é, cplex.log ÆÄÀÏ¿¡´Â Á¦¾îÇÑ ³»¿ë¿¡ µû¶ó ´õ ¸¹Àº Á¤º¸°¡ Ãâ·ÂµË´Ï´Ù.

¿¹) set-> mip -> display¿¡¼­ ´Ù¸¥ °ªÀ» ¼³Á¤ÇØ ÁÖ¾ú´Ù¸é, ±× ¼³Á¤ »óÅ¿¡ µû¶ó ÆÄÀÏ¿¡ ±â·ÏÀÌ µË´Ï´Ù.


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"B&B ¼öÇà °á°ú Ãâ·Â ¿É¼Ç"¿Í(°ú) °ü·ÃµÈ ±ÛÀÌ  3°Ç ÀÖ½À´Ï´Ù.
branch and bound¿¡¼­ ³ëµå¸¦ º¼·Á¸é ±è볽¼ø 2002-05-26
B&B ¼öÇà °á°ú Ãâ·Â ¿É¼Ç ¼Ò°æÃ¶ 2002-05-27
   [RE] Concert Technology¶õ? ±èº¹¼ø 2002-05-27
    Concert TechnologyÀÇ Á¤ÀÇ ¼Ò°æÃ¶ 2002-05-27