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Á¦ ¸ñ |
B&B ¼öÇà °á°ú Ãâ·Â ¿É¼Ç |
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ÀÛ¼ºÀÚ |
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ÀÛ¼ºÀÏ |
2002-05-27 |
Á¶È¸¼ö |
1226 ȸ |
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÷ºÎÆÄÀÏ |
÷ºÎµÈ ÆÄÀϾøÀ½.
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´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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