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A Model for Multiperiod Route Planning and a Tabu Search Method for Daily Log Truck Scheduling

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(103) á Ç ÅГ ËÏÅГâ’. ½!¾x¿SÀ#Á5ÂwÃIÀ. ¼. ½!Ã5؈ÙxÚ1Û9هܝÝ1އßwÝ à­Ý ٚÀ. ¼°¼ž¼. ã ä ٚÀ#ÁÚVÞ-ådÃIÀ¼ÚšÙ ‚T O‚ ¡aEIYDWSBDLmYDq´ Ÿ Ÿ n Ÿ  Ÿ n Ÿ Ÿ n Ÿ  Ÿ n Ÿ Ÿ n Ÿ  n Ÿ Ÿ Ÿ n Ÿ  n Ÿ Ÿ Ÿ n Ÿ  n Ÿ  ‚T æ ¡aEIYDWSBDLmYDq¢LmYsRIFMBmKgEIYDLDRTLD>AEGF  n Ÿ  Ÿ n Ÿ Ÿ n Ÿ  n Ÿ Ÿ Ÿ n Ÿ  n Ÿ Ÿ Ÿ n Ÿ  n Ÿ  ‚T æ1 O‚ oxYsRIFMBmKgEIYDLDRTLD>OEGF¢KMYDEI¤wpAWSN  n Ÿ Ÿ n Ÿ  n Ÿ Ÿ Ÿ n Ÿ  n Ÿ Ÿ Ÿ n Ÿ  n Ÿ  ‚T æ1 æ ƒ LmYRTLmWhG>ObTUMLDRIbœLD>ObRIpxRIFMv§EIKgWYsRTLD>A@IWŸKXpORIFMFM>OFMhРn Ÿ  n Ÿ Ÿ Ÿ n Ÿ  n Ÿ  ‚T æ1 æç ƒ b`aWSvMlMpC>OFah›RIFMv =<WSBmKwRTLDb`M>OFah* Ÿ n Ÿ  n Ÿ Ÿ Ÿ n Ÿ  n Ÿ Ÿ Ÿ n Ÿ  n Ÿ  ‚T æç J?laYvMW©wFM>ALD>AEGFwBª  Ÿ n Ÿ Ÿ n Ÿ  Ÿ n Ÿ Ÿ n Ÿ  n Ÿ Ÿ Ÿ n Ÿ  n Ÿ Ÿ Ÿ n Ÿ  n Ÿ  ‚T » cˆEIh9odYslwbDe ƒ bs`aWSvwlMpO>OFah  Ÿ n Ÿ  Ÿ n Ÿ Ÿ n Ÿ  n Ÿ Ÿ Ÿ n Ÿ  n Ÿ Ÿ Ÿ n Ÿ  n Ÿ  ‚T æè oxYsRIFMBmKgEIYDLDRTLD>AEGF¢KXpORIFMFM>OFMhj>OF¢LD`MWŸHEIYsWSBmLmYDq¢>OFMvMlMBDLmYDqPLmE vMRSq  n Ÿ Ÿ Ÿ n Ÿ  n Ÿ  ‚T æé †lMYDKgEGBmWꠟ Ÿ n Ÿ  Ÿ n Ÿ Ÿ n Ÿ  Ÿ n Ÿ Ÿ n Ÿ  n Ÿ Ÿ Ÿ n Ÿ  n Ÿ Ÿ Ÿ n Ÿ  n Ÿ  ‚T ë ]_WLD`aE1v  Ÿ Ÿ n Ÿ  Ÿ n Ÿ Ÿ n Ÿ  Ÿ n Ÿ Ÿ n Ÿ  n Ÿ Ÿ Ÿ n Ÿ  n Ÿ Ÿ Ÿ n Ÿ  n Ÿ  ‚T æì o`aWŸBDLmYslMbœLDlaYDWnEIH‡LD`M>OBYDWKgEIYDLí  Ÿ n Ÿ Ÿ n Ÿ  n Ÿ Ÿ Ÿ n Ÿ  n Ÿ Ÿ Ÿ n Ÿ  n Ÿ  ã. ‚ ‚  ç ç   è é. é . õ î ï a À5ðxÝ à­ÂaÀ¼Ã¨ÂwÜ ï ÚVއÝ1Ü{ñzÚwÁ ï å‡ÜÀ5¼žò:Ý1Á¼žÚVޕó9ښåˆÀ#ÝôܞÂwهÙx¼°Ùxß 1 O‚ ]ŠlMpALD>AKgWYs>AE v!pAEIhZLmYslMbse¢Bsbs`aWSvMlwpO>OFahö Ÿ Ÿ n Ÿ  n Ÿ Ÿ Ÿ n Ÿ  n Ÿ Ÿ Ÿ n Ÿ  n Ÿ  ÷ 1 O‚T O‚ o`MWn©MYsBmL0NZE vaWSpø †/‚‰ùú  Ÿ n Ÿ Ÿ n Ÿ  n Ÿ Ÿ Ÿ n Ÿ  n Ÿ Ÿ Ÿ n Ÿ  n Ÿ  ÷ 1 O‚T æ o`MWŸBmWSbœEGFMv NZE vaWSp:ø †5ù Ÿ n Ÿ Ÿ n Ÿ  n Ÿ Ÿ Ÿ n Ÿ  n Ÿ Ÿ Ÿ n Ÿ  n Ÿ  ‚ € 1 O‚T æç o`MWnLD`M>AYsv¢NZE vaWSpø †ç5ù-  Ÿ n Ÿ Ÿ n Ÿ  n Ÿ Ÿ Ÿ n Ÿ  n Ÿ Ÿ Ÿ n Ÿ  n Ÿ  I‚ ‚ 1 O‚T » o`MWn©wFMRIpVNZE vaWSp:ø †:Tù  Ÿ n Ÿ Ÿ n Ÿ  n Ÿ Ÿ Ÿ n Ÿ  n Ÿ Ÿ Ÿ n Ÿ  n Ÿ  S‚ ç @.

(104) ×d¼. ûPüPýŠþ+ÿ?ýŠþ.  üPòdÀ5¼°à¼GÂaÀ5¼žÚXÙ ï ݨÀ5ðxÚVއ¿. ã ‚Sè ‚Sé ‚# ‚Sì ‚Sì.  ü'ådÁ ï ݨÀ5ðxÚVÞ. ãõ ‚S÷ ‚S÷ ‚S÷ T€  ‚ I.  ó9Ý1¿#å‡ÜÀ#¿'ÂwÙxÞ û+ÚXÙxèܰåd¿5¼ÚšÙd¿. î  Iè Iè Ié G Iì Iì Iì. ç1 O‚ r EGpOlMNPF¢hIWSFMWYsRTLD>AEGF  n Ÿ Ÿ Ÿ n Ÿ  n Ÿ Ÿ n Ÿ Ÿ  n Ÿ Ÿ n Ÿ Ÿ  n Ÿ Ÿ n Ÿ Ÿ n  ç1 æ r EGNZKgEGBD>ALmWnKMY>Ob>OFah   n Ÿ Ÿ Ÿ n Ÿ  n Ÿ Ÿ n Ÿ Ÿ  n Ÿ Ÿ n Ÿ Ÿ  n Ÿ Ÿ n Ÿ Ÿ n  ç1 æç ®¥Y RIFMbs`ŠRIFMv ®EGlMFMv´  n Ÿ Ÿ Ÿ n Ÿ  n Ÿ Ÿ n Ÿ Ÿ  n Ÿ Ÿ n Ÿ Ÿ  n Ÿ Ÿ n Ÿ Ÿ n  ç1 æç1 O‚ :RTYs>ORT¤wpOWn¤MYsRIFMb`M>OFahú Ÿ n Ÿ  n Ÿ Ÿ n Ÿ Ÿ  n Ÿ Ÿ n Ÿ Ÿ  n Ÿ Ÿ n Ÿ Ÿ n  ç1 æç1 æ ƒ WSRTYsb`M>OFahPBmLmYRTLmWhG>AWSB  n Ÿ  n Ÿ Ÿ n Ÿ Ÿ  n Ÿ Ÿ n Ÿ Ÿ  n Ÿ Ÿ n Ÿ Ÿ n . a O‚ u F RTKwKMYDEGRIbs`_¤wRIBmWSv§EGF_bœEGNZKgEGBD>ALmWŸKMY>Ob>OFah* Ÿ Ÿ  n Ÿ Ÿ n Ÿ Ÿ  n Ÿ Ÿ n Ÿ Ÿ n  a æ ikMF >OLD>ORIpgKMYDEI¤wpOWSN  n Ÿ  n Ÿ Ÿ Ÿ n Ÿ  n Ÿ Ÿ n Ÿ Ÿ  n Ÿ Ÿ n Ÿ Ÿ  n Ÿ Ÿ n Ÿ Ÿ n  a æ1 O‚ u F Wœ RINZKXpAW"  n Ÿ Ÿ Ÿ n Ÿ  n Ÿ Ÿ n Ÿ Ÿ  n Ÿ Ÿ n Ÿ Ÿ  n Ÿ Ÿ n Ÿ Ÿ n  a æç u F§WœaRINZKwpOWnEIH-RIvwvM>OFah›YDEGlaLmWSBö Ÿ  n Ÿ Ÿ n Ÿ Ÿ  n Ÿ Ÿ n Ÿ Ÿ  n Ÿ Ÿ n Ÿ Ÿ n  a » u pAhIEIY>ALD`MNP>Ob?vaWSBsbœYs>AKMLD>AEGF  Ÿ Ÿ n Ÿ  n Ÿ Ÿ n Ÿ Ÿ  n Ÿ Ÿ n Ÿ Ÿ  n Ÿ Ÿ n Ÿ Ÿ n  a æè u vMvw>ALD>AEGF¢EIH‡YDEGlaLmWSB4  n Ÿ Ÿ Ÿ n Ÿ  n Ÿ Ÿ n Ÿ Ÿ  n Ÿ Ÿ n Ÿ Ÿ  n Ÿ Ÿ n Ÿ Ÿ n  è1 O‚ o `aWŸbRIBmWŠ n Ÿ Ÿ Ÿ n Ÿ  n Ÿ Ÿ Ÿ n Ÿ  n Ÿ Ÿ n Ÿ Ÿ  n Ÿ Ÿ n Ÿ Ÿ  n Ÿ Ÿ n Ÿ Ÿ n  è1 æ <= >A¸šWYDWSF[LLmWSBmLDB/RIFMv§KwRTYRINZWLmWYsB0 Ÿ  n Ÿ Ÿ n Ÿ Ÿ  n Ÿ Ÿ n Ÿ Ÿ  n Ÿ Ÿ n Ÿ Ÿ n  è1 æ1 O‚ u BD`aEIYDL0LD>ONPWŸpO>ONP>ALn¯¦‚SèPN'>OF[lMLmWSB±j n Ÿ Ÿ  n Ÿ Ÿ n Ÿ Ÿ  n Ÿ Ÿ n Ÿ Ÿ n  è1 æ1 æ u pORTYDhIWnLD>ONZWŸpC>ONP>ALŸ¯ºéT€PNP>CF[laLmWSB‰±* n Ÿ Ÿ  n Ÿ Ÿ n Ÿ Ÿ  n Ÿ Ÿ n Ÿ Ÿ n  è1 æç r EGNZKwRTYs>CBmEGF§RIFMv vM>CBDblMBDBD>OEGF  n Ÿ  n Ÿ Ÿ n Ÿ Ÿ  n Ÿ Ÿ n Ÿ Ÿ  n Ÿ Ÿ n Ÿ Ÿ n  è1 » r EGFMbpOlMBs>AEGF  Ÿ Ÿ n Ÿ  n Ÿ Ÿ Ÿ n Ÿ  n Ÿ Ÿ n Ÿ Ÿ  n Ÿ Ÿ n Ÿ Ÿ  n Ÿ Ÿ n Ÿ Ÿ n  è1 æè ¡MlaYDLD`aWY Ž EIYDe  Ÿ n Ÿ  n Ÿ Ÿ Ÿ n Ÿ  n Ÿ Ÿ n Ÿ Ÿ  n Ÿ Ÿ n Ÿ Ÿ  n Ÿ Ÿ n Ÿ Ÿ n . Âw¼°Ü

(105) ¥ÚXßþÁTådÃØgÃTðxÝ[Þ-åxÜ°¼°Ùxß"Û!¼CÀð¹ò‡Á5Ý1ÞxÝ^ÙdÝ1ÞÀ5Á¼žò‡¿. îõ é1 O‚ †:YDWSvaW©XFaWSv¢LmYs>AKwBj n Ÿ  n Ÿ Ÿ Ÿ n Ÿ  n Ÿ Ÿ n Ÿ Ÿ  n Ÿ Ÿ n Ÿ Ÿ  n Ÿ Ÿ n Ÿ Ÿ n  I÷ 1é  æ o`aWŸNZE vaWSpx Ÿ Ÿ Ÿ n Ÿ  n Ÿ Ÿ Ÿ n Ÿ  n Ÿ Ÿ n Ÿ Ÿ  n Ÿ Ÿ n Ÿ Ÿ  n Ÿ Ÿ n Ÿ Ÿ n  çT€.  üPòdÀ5¼°à¼GÂaÀ5¼žÚXÙ ï ݨÀ5ðxÚVއ¿.  . [ O‚ cˆE bRIpdBmWSRTYsb`_NZWLD`ME1vMB  Ÿ Ÿ Ÿ n Ÿ  n Ÿ Ÿ n Ÿ Ÿ  n Ÿ Ÿ n Ÿ Ÿ  n Ÿ Ÿ n Ÿ Ÿ n  Iç ç [ O‚T O‚ oxRT¤Xl BmWSRTYsb`   n Ÿ Ÿ Ÿ n Ÿ  n Ÿ Ÿ n Ÿ Ÿ  n Ÿ Ÿ n Ÿ Ÿ  n Ÿ Ÿ n Ÿ Ÿ n  Iç ç.

(106) ûPüPýŠþ+ÿ?ýŠþ. ×d¼°¼.  ü'åxÁ_Ý åxÁ¼ž¿À5¼žÃ. . õ ó!Ý[¿5åxܝÀ#¿PÂXÙdÞ û+ÚXÙxèܰåx¿#¼žÚXÙx¿ ÷1 O‚ =?RTLDR™ Ÿ n Ÿ Ÿ n Ÿ  Ÿ n Ÿ Ÿ n Ÿ  Ÿ n Ÿ Ÿ n Ÿ  n Ÿ Ÿ Ÿ n Ÿ  n Ÿ Ÿ Ÿ n Ÿ  n Ÿ  ÷1 æ oxWSBmL\bRIBmWSB™ Ÿ n Ÿ  Ÿ n Ÿ Ÿ n Ÿ  Ÿ n Ÿ Ÿ n Ÿ  n Ÿ Ÿ Ÿ n Ÿ  n Ÿ Ÿ Ÿ n Ÿ  n Ÿ  ÷1 æ1 O‚ ®WSBmL@IWYBDlMB¡MRIBDL r `MRIFMhIW  n Ÿ Ÿ n Ÿ  n Ÿ Ÿ Ÿ n Ÿ  n Ÿ Ÿ Ÿ n Ÿ  n Ÿ  ÷1 æ1 æ J<YvM>OFMRTYDq'@IWYsBDlMB‹/RIFMvaEGNo‡RT¤wl BDWSRTYsbs`  Ÿ Ÿ n Ÿ  n Ÿ Ÿ Ÿ n Ÿ  n Ÿ  ÷1 æ1 æç :RTYDq >OFahZLD`MWŸKwRTYsRINZWLmWY  RIFMv o‡RT¤wl  Ÿ Ÿ Ÿ n Ÿ  n Ÿ Ÿ Ÿ n Ÿ  n Ÿ  ÷1 æ1 » cxRTYDhIWY/bRIBmW  n Ÿ Ÿ n Ÿ  Ÿ n Ÿ Ÿ n Ÿ  n Ÿ Ÿ Ÿ n Ÿ  n Ÿ Ÿ Ÿ n Ÿ  n Ÿ  ÷1 æç «â>ALD` ®{RIbDe `MRIlMpO>CFahZ@1B«•>ALD`MEGlaL®{RIbDe `MRIlMpO>OFMhÆ Ÿ Ÿ Ÿ n Ÿ  n Ÿ Ÿ Ÿ n Ÿ  n Ÿ  ÷1 » r EGNZKXRTYs>OBmEGF§RIFMv_bœEGFMbpOlMBD>OEGF   Ÿ n Ÿ Ÿ n Ÿ  n Ÿ Ÿ Ÿ n Ÿ  n Ÿ Ÿ Ÿ n Ÿ  n Ÿ  ÷1 æè ¡MlaYsLD`aWY Ž EIYDe  Ÿ  Ÿ n Ÿ Ÿ n Ÿ  Ÿ n Ÿ Ÿ n Ÿ  n Ÿ Ÿ Ÿ n Ÿ  n Ÿ Ÿ Ÿ n Ÿ  n Ÿ . xã. ì1 O‚ ì1 æ ì1 æç ì1 » ì1 æè. i¦F¨LmYDE vMlMbœLD>OEGF¢EIH‡EGlMY`aWSlaYs>OBDLD>Ob  Ÿ n Ÿ Ÿ n Ÿ  n Ÿ Ÿ Ÿ n Ÿ  n Ÿ Ÿ Ÿ n Ÿ  n Ÿ  t/E Ž LmE9BmWSpAWSbœLYDEGlMLmWSB´ Ÿ Ÿ n Ÿ  Ÿ n Ÿ Ÿ n Ÿ  n Ÿ Ÿ Ÿ n Ÿ  n Ÿ Ÿ Ÿ n Ÿ  n Ÿ  t/E Ž LmE9bs`MRIFahIW+LmYs>AKwB  Ÿ Ÿ n Ÿ  Ÿ n Ÿ Ÿ n Ÿ  n Ÿ Ÿ Ÿ n Ÿ  n Ÿ Ÿ Ÿ n Ÿ  n Ÿ  ƒ lMN'NPRTYDqÆ Ÿ n Ÿ  Ÿ n Ÿ Ÿ n Ÿ  Ÿ n Ÿ Ÿ n Ÿ  n Ÿ Ÿ Ÿ n Ÿ  n Ÿ Ÿ Ÿ n Ÿ  n Ÿ  r Ys>OLmWYs>ORjLD`MRTL\R¸gWSbœL\LD`aWŸBDWSRTYsbs`ŠvM>AYDWSbœLD>AEGF! Ÿ  n Ÿ Ÿ Ÿ n Ÿ  n Ÿ Ÿ Ÿ n Ÿ  n Ÿ . çG çIì çIì G€ G€ M‚ ¨ ¨ç ¨ç ¨è ¨é [ [ ¨ì.

(107) ×d¼°¼°¼. ûPüPýŠþ+ÿ?ýŠþ.

(108)   ’"“. T‚  O‚ ç1 O‚ ç1 æ a O‚ a æ é1 O‚ é1 æ [ O‚ [ æ ì1 O‚ ì1 æ ì1 æç ì1 » ÷1 O‚ ÷1 æ ÷1 æç. Ç   Í ”â˪’ r GE NZKgEGFaWSF[LDB>OF[@IEGpA@IWSv >CF§vMRI>OpAq9LmYsRIFMBmKgEIYDLDRTLD>AEGF¢KXpORIFMFM>OFMh´ n Ÿ Ÿ Ÿ n Ÿ  n Ÿ  o`aWŸbœEGpClMNPF¢hIWSFaWYsRTLD>OEGF KMYDE bœWSvMlaYsWP Ÿ Ÿ n Ÿ  n Ÿ Ÿ Ÿ n Ÿ  n Ÿ Ÿ Ÿ n Ÿ  n Ÿ  o`aWŸBDLmYslMbœLDlaYDWnEIH-RIF_lwF¨¤wRIpCRIFMbœWSv¢LmYDWWŸHžEIYLD`aW Ž EIYsBmLbRIBDW Ž >ALD`§F @RTYs>CRT¤wpAWSB  ƒ EGpOlMLD>AEGF§NZWLD`aE vaEGpAEIhIq!HEIY\LD`aWŸi¦F¨LmWhIYsRTLmWSv] WLD`ME1v  n Ÿ  n Ÿ Ÿ Ÿ n Ÿ  n Ÿ  ƒ EGpOlMLD>AEGF§NZWLD`aE vaEGpAEIhIq!HEIY\LD`aW ƒ WSŒ1laWSF[LD>ORIpˆ] WLD`ME1v  n Ÿ  n Ÿ Ÿ Ÿ n Ÿ  n Ÿ  i¦pOpOlMBmLmYRTLD>AEGF!EIH‡¤XRIbDe `MRIlMpO>OFMh" Ÿ  Ÿ n Ÿ Ÿ n Ÿ  n Ÿ Ÿ Ÿ n Ÿ  n Ÿ Ÿ Ÿ n Ÿ  n Ÿ  u F+>OpCpOlMBmLmYsRTLD>OEGF?EIHMR\KgEGBDBD>O¤wpAW^YDEGlaLmW Ž `aWYDW¥WSRIbs`›FaE vaWYsWKMYDWSBmWSF[LDBxR/KMYDWSvMW©wFaWSv LmYs>AK§  Ÿ n Ÿ Ÿ n Ÿ  Ÿ n Ÿ Ÿ n Ÿ  Ÿ n Ÿ Ÿ n Ÿ  n Ÿ Ÿ Ÿ n Ÿ  n Ÿ Ÿ Ÿ n Ÿ  n Ÿ  u F >OpOpOlwBmLmYsRTLD>AEGF9EIH-LD`aWnLDRT¤wl Wœ¸gWSbœL  Ÿ Ÿ n Ÿ  n Ÿ Ÿ Ÿ n Ÿ  n Ÿ Ÿ Ÿ n Ÿ  n Ÿ  u LDRT¤wl_RIFMv¢HžYDWSŒ1laWSFMbœq¢NPRTLmYs> §RIFMv BDEGpOlaLD>AEGFMB3 Ÿ Ÿ Ÿ n Ÿ  n Ÿ Ÿ Ÿ n Ÿ  n Ÿ  u F§Wœ RINPKwpAWnEIH^R›YDEGlaLmW¬ Ÿ n Ÿ  Ÿ n Ÿ Ÿ n Ÿ  n Ÿ Ÿ Ÿ n Ÿ  n Ÿ Ÿ Ÿ n Ÿ  n Ÿ  u F§Wœ RINPKwpAWnEIH^RZBD>OFahGpOW?RIFwv vaEGla¤wpOW?b`MRIFahIWjRIFMv¢Kw>A@IEILDBn  n Ÿ Ÿ Ÿ n Ÿ  n Ÿ  ]_WLD`aE1vMEGpAEIhIq¢HEIY\¡wRIBmL r `wRIFahIW⠟ n Ÿ Ÿ n Ÿ  n Ÿ Ÿ Ÿ n Ÿ  n Ÿ Ÿ Ÿ n Ÿ  n Ÿ  ]_WLD`aE1vMEGpAEIhIq¢HEIY\®WSBmL r `MRIFahIW" Ÿ n Ÿ Ÿ n Ÿ  n Ÿ Ÿ Ÿ n Ÿ  n Ÿ Ÿ Ÿ n Ÿ  n Ÿ  o`aWnLmEILDRIpxbœEGBmL\RIB/RZHžlwFMbœLD>AEGF¢EIH‡LD>ONZWZ Ÿ n Ÿ  n Ÿ Ÿ Ÿ n Ÿ  n Ÿ Ÿ Ÿ n Ÿ  n Ÿ  o`aWnLmEILDRIpxbœEGBmL\RIB/RZHžlwFMbœLD>AEGF¢EIH->ALmWYsRTLD>AEGFMB*  n Ÿ Ÿ Ÿ n Ÿ  n Ÿ Ÿ Ÿ n Ÿ  n Ÿ  ‹\RIFwvaEGNo‡RT¤wl BmWSRTYsb` Ž >OLD`§¡MRIBmL r `MRIFahIW   n Ÿ Ÿ Ÿ n Ÿ  n Ÿ Ÿ Ÿ n Ÿ  n Ÿ . >.  ‚Sé S‚ ì I ç I ç çT€ çT€ ç ç Gç  çI÷ çI÷ çI÷ I I ¨é.

(109)  ä ˆþÏü!"! ä$#&% ó9ÿ'.

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References