2016
DOI: 10.1016/j.trpro.2016.12.002
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Planning the Diesel Supply for Offshore Platforms by a Mathematical Model Based on the Vehicle Routing Problem with Replenishment

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Cited by 6 publications
(2 citation statements)
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“…""" |vi C=tON |=yxwQo |}xQwO |@=} Q}Ut \UwD xm CU= |QDWt R=}vOQwt |y=J uwQO w |y=JQU CtON `wv wO 'xrUt u}= x@ |y=JuwQO CtON |x= Q= |xw}W w OwW|t x=Q= hrDNt u=UQCtON `wv wO |y=ov =@ "CU= XNWt |D=}rta |Ov@u=tR l} =@ w |@}mQD CQwYx@ |QDWt |QDWt R=}vOQwt C=tON `wvD Cq=kt QDW}@ xm OwW|t xOy=Wt 1 pwOH x@ QYDNt l} =@ |@}mQD |v=UQCtON |xw}W =yv; R= l}I}y w Ov=xDiQo Q_v QO `wv l} = Q 'xr=kt u}= 'hOy `@=D Q=DN=U Oa@ QO "Ov=xO=Ov Q= Qk xHwD OQwt = Q |D=}rta |Ov@u=tR O}rwD hkwD |=yxv}Ry Vy=m x@ 'C=tON Ow@tm w QiU |xv}Ry |R=Uxv}tm Q@xwqa x@ `w[wt |xv}W}B QO `w[wt u}= x@ uDN=OQB 1 pwOH QO xm CU= xDN=OQB R}v |xaUwD x@ , =DOta '`w[wt |xv}W}B Cq=kt 'pL VwQ Oa@ QO "OQwN|tv sWJ &Ov=xDN=OQB l}DUQw}y=Dt w l}DUQw}y |=ysD}Qwor= |L=Q] j} Q] R= 4 q=@ OL w RQOv@ 'Sv= Qo q |=ysD}Qwor= R= xO=iDU= =@ 5 'xr=kt u}= 'p}rO u}tyx@ "Ov=xO=Ov Q= Qk xHwD OQwt = Q |Div lQDWt |=yu=O}t T=UL \}=QW QO w xOWv |UQQ@ w xar=]t uwvm=D xr=kt u}= Q_vOt |xrUt 'u=oOvU}wv `q]= j@] xr=kt u}= QO 'u}= Q@=v@ "CU= xOWv x=Q= uwvm=D u; |= Q@ |[=} Q pOt I}y xH}Dv QO xm |awvDt u}}=B OwOL |iQat x@ 'xrUt u}= |= Q@ |[=} Q pOt l} |iQat ut[ "OwW|t xDN=OQB 'OvDUy Sv=Qo q |R=UO= R; w L-shaped 'RQOv@ |=yVwQ Q@|vD@t O}OH |xrUt l} u}}@D w x=Q= "1 %CU= KQW u}O@ xr=kt u}= |=y|Qw;wv p}=Uw |}xQwO |@=} Q}Ut p=Ut |xawtHtQ}R QO |Ov@u=tR w |}xQwO |@=} Q}Ut Civ CavY QO =yx=J |vi C=tON |=yxwQo |=yC}r=ai R= xDiQoQ@ pkvwptL |xw}W Q}_v |O}OH |D=}rta |=yx@vH |= Q=O u=tRsy Qw]x@ xm |rL=U=Qi |xw}W QO |D=}rta |Ov@u=tR OwHw '|@}mQD CQwYx@ |Div |=yx=J x@ |v=UQCtON QO w |y=JuwQO C=tON |x= Q= Ov}=Qi QO Civ O}rwD hkwD s= Rr= '|@}mQD |v=UQCtON QwmPtO}rwDhkwDp}rOx@lQDWt|=yu=O}tQOxDiQCUOR=CYQi|xv}Ry|Q}oQ_v O}rwD hkwD |=yxv}Ryu}@ xvR=wt OQm}wQ =@ \}=QW u}= s=tDQO|R=Uxv}y@swyitKQ]w K}LY OOa |R}Qxt=vQ@ O}OH pOt l} |x= Q= "2 "CU= C=tON Ow@tm |=yxv}Ry w R= xOW u=}@ |[=} Q pOt |= Q@ u}}=B OwOL |xaUwD "3 "QwmPt |xrUt |= Q@ \rDNt x@ xHwD =@ Sv=Qo q |R=UO= R; w L-shaped 'RQOv@ |=yVwQ 6 |R=U|YNW j} Q] u}}=B OwOL |}xU}=kt p}rLD w |UQQ@ "4 "pOt OwHwt |=y|oO}J}B w C=}YwYN "|[=}Q pOt hrDNt O=a@= x@ xHwD =@ xOW u=}@ |=yVwQ R= xO=iDU= =@ xOt; CUO x@ xrUt K} QWD "2 |@=} Q}Ut [13] '|v=tR |=y?wJQ=yJ w =yQ=]k C}iQ_ x@ xHwD =@ |QyW |=yQ=]k QO QwUv=U; w |kQ@ |=yxrB C= Q}taD w |Q=Oyov |= Q@ =yu}UvmD Qy=t |=yOvwQ=m `} RwD w ptL [15] 'VNB |=yx=oDU}= u}@ |Div |=yxOQw= Qi `} RwD [14] 'QyW K]U "OvDUy [17] u= QL@ `wkw R= TB |D=}L sqk= |Q= Q][= u}t -=D [16] 'QyW K]U QO pwB C=aw[wt 'CUy R}v xr=kt u}= Q_vOt xm |rL=U=Qi Civ CavY |xRwL QO |=yQw=vW |@=} Q}Ut Q}_v &Ov=xDiQo Q= Qk |R=UpOt w |UQQ@ OQwt |OwOLt |D=}rta |=ywmU x@ Ci=} QO w p} wLD \}=QW =@ T=vH= w =yq=m |xOvvmptL pkvwptL C=tON |x= Q= |= Q@ OQop=@ |@=} Q}Ut [2218] '=}QO QO QkDUt |Div u}t -=D |R}Qxt=vQ@ [2623] '|mWN |Qi=Ut |=yxv=}=B w |Div |=ywmU u}@ Qi=Ut Ot; w CiQ j} Q] R= |Div |=ywmU w |Q=iL |=ypmO |= Q@ p}wR=o CNwU CNwU uR=Nt w |Q=iL |=ypmO w |Div |=ywmU u}@ u=UQCNwU |=yj}=k C= Q}taD w |Q=Oyov C=}rta |Ov@u=tR w |@=} Q}Ut [27] '=}QO QO QkDUt Qw=vW u=OvwQ=m xwQo |= Q=O |vi |=yQw=vW \UwD |}=} QO |=ywmU QO QkDUt |=yu}@QwD u=@}DWB |=yQw=vW w Q=}U |y=JQU |=yxOvyOCtON |@=} Q}Ut |xrUt [28] 'Qy=t G}rN QO QkDUt |y=JQU |=ywmU x@ u=@}DWB w |vi C=tON |x= Q= Qw_vtx@ |=ypt=a x@ xHwD =@ xOW xQ=W= `w[wt |xv}W...…”
mentioning
confidence: 99%
“…""" |vi C=tON |=yxwQo |}xQwO |@=} Q}Ut \UwD xm CU= |QDWt R=}vOQwt |y=J uwQO w |y=JQU CtON `wv wO 'xrUt u}= x@ |y=JuwQO CtON |x= Q= |xw}W w OwW|t x=Q= hrDNt u=UQCtON `wv wO |y=ov =@ "CU= XNWt |D=}rta |Ov@u=tR l} =@ w |@}mQD CQwYx@ |QDWt |QDWt R=}vOQwt C=tON `wvD Cq=kt QDW}@ xm OwW|t xOy=Wt 1 pwOH x@ QYDNt l} =@ |@}mQD |v=UQCtON |xw}W =yv; R= l}I}y w Ov=xDiQo Q_v QO `wv l} = Q 'xr=kt u}= 'hOy `@=D Q=DN=U Oa@ QO "Ov=xO=Ov Q= Qk xHwD OQwt = Q |D=}rta |Ov@u=tR O}rwD hkwD |=yxv}Ry Vy=m x@ 'C=tON Ow@tm w QiU |xv}Ry |R=Uxv}tm Q@xwqa x@ `w[wt |xv}W}B QO `w[wt u}= x@ uDN=OQB 1 pwOH QO xm CU= xDN=OQB R}v |xaUwD x@ , =DOta '`w[wt |xv}W}B Cq=kt 'pL VwQ Oa@ QO "OQwN|tv sWJ &Ov=xDN=OQB l}DUQw}y=Dt w l}DUQw}y |=ysD}Qwor= |L=Q] j} Q] R= 4 q=@ OL w RQOv@ 'Sv= Qo q |=ysD}Qwor= R= xO=iDU= =@ 5 'xr=kt u}= 'p}rO u}tyx@ "Ov=xO=Ov Q= Qk xHwD OQwt = Q |Div lQDWt |=yu=O}t T=UL \}=QW QO w xOWv |UQQ@ w xar=]t uwvm=D xr=kt u}= Q_vOt |xrUt 'u=oOvU}wv `q]= j@] xr=kt u}= QO 'u}= Q@=v@ "CU= xOWv x=Q= uwvm=D u; |= Q@ |[=} Q pOt I}y xH}Dv QO xm |awvDt u}}=B OwOL |iQat x@ 'xrUt u}= |= Q@ |[=} Q pOt l} |iQat ut[ "OwW|t xDN=OQB 'OvDUy Sv=Qo q |R=UO= R; w L-shaped 'RQOv@ |=yVwQ Q@|vD@t O}OH |xrUt l} u}}@D w x=Q= "1 %CU= KQW u}O@ xr=kt u}= |=y|Qw;wv p}=Uw |}xQwO |@=} Q}Ut p=Ut |xawtHtQ}R QO |Ov@u=tR w |}xQwO |@=} Q}Ut Civ CavY QO =yx=J |vi C=tON |=yxwQo |=yC}r=ai R= xDiQoQ@ pkvwptL |xw}W Q}_v |O}OH |D=}rta |=yx@vH |= Q=O u=tRsy Qw]x@ xm |rL=U=Qi |xw}W QO |D=}rta |Ov@u=tR OwHw '|@}mQD CQwYx@ |Div |=yx=J x@ |v=UQCtON QO w |y=JuwQO C=tON |x= Q= Ov}=Qi QO Civ O}rwD hkwD s= Rr= '|@}mQD |v=UQCtON QwmPtO}rwDhkwDp}rOx@lQDWt|=yu=O}tQOxDiQCUOR=CYQi|xv}Ry|Q}oQ_v O}rwD hkwD |=yxv}Ryu}@ xvR=wt OQm}wQ =@ \}=QW u}= s=tDQO|R=Uxv}y@swyitKQ]w K}LY OOa |R}Qxt=vQ@ O}OH pOt l} |x= Q= "2 "CU= C=tON Ow@tm |=yxv}Ry w R= xOW u=}@ |[=} Q pOt |= Q@ u}}=B OwOL |xaUwD "3 "QwmPt |xrUt |= Q@ \rDNt x@ xHwD =@ Sv=Qo q |R=UO= R; w L-shaped 'RQOv@ |=yVwQ 6 |R=U|YNW j} Q] u}}=B OwOL |}xU}=kt p}rLD w |UQQ@ "4 "pOt OwHwt |=y|oO}J}B w C=}YwYN "|[=}Q pOt hrDNt O=a@= x@ xHwD =@ xOW u=}@ |=yVwQ R= xO=iDU= =@ xOt; CUO x@ xrUt K} QWD "2 |@=} Q}Ut [13] '|v=tR |=y?wJQ=yJ w =yQ=]k C}iQ_ x@ xHwD =@ |QyW |=yQ=]k QO QwUv=U; w |kQ@ |=yxrB C= Q}taD w |Q=Oyov |= Q@ =yu}UvmD Qy=t |=yOvwQ=m `} RwD w ptL [15] 'VNB |=yx=oDU}= u}@ |Div |=yxOQw= Qi `} RwD [14] 'QyW K]U "OvDUy [17] u= QL@ `wkw R= TB |D=}L sqk= |Q= Q][= u}t -=D [16] 'QyW K]U QO pwB C=aw[wt 'CUy R}v xr=kt u}= Q_vOt xm |rL=U=Qi Civ CavY |xRwL QO |=yQw=vW |@=} Q}Ut Q}_v &Ov=xDiQo Q= Qk |R=UpOt w |UQQ@ OQwt |OwOLt |D=}rta |=ywmU x@ Ci=} QO w p} wLD \}=QW =@ T=vH= w =yq=m |xOvvmptL pkvwptL C=tON |x= Q= |= Q@ OQop=@ |@=} Q}Ut [2218] '=}QO QO QkDUt |Div u}t -=D |R}Qxt=vQ@ [2623] '|mWN |Qi=Ut |=yxv=}=B w |Div |=ywmU u}@ Qi=Ut Ot; w CiQ j} Q] R= |Div |=ywmU w |Q=iL |=ypmO |= Q@ p}wR=o CNwU CNwU uR=Nt w |Q=iL |=ypmO w |Div |=ywmU u}@ u=UQCNwU |=yj}=k C= Q}taD w |Q=Oyov C=}rta |Ov@u=tR w |@=} Q}Ut [27] '=}QO QO QkDUt Qw=vW u=OvwQ=m xwQo |= Q=O |vi |=yQw=vW \UwD |}=} QO |=ywmU QO QkDUt |=yu}@QwD u=@}DWB |=yQw=vW w Q=}U |y=JQU |=yxOvyOCtON |@=} Q}Ut |xrUt [28] 'Qy=t G}rN QO QkDUt |y=JQU |=ywmU x@ u=@}DWB w |vi C=tON |x= Q= Qw_vtx@ |=ypt=a x@ xHwD =@ xOW xQ=W= `w[wt |xv}W...…”
mentioning
confidence: 99%
“…""" |D=tON |=yQw=vW |}xQwO |@=} Q}Ut u}t -=D |R}Qxt=vQ@ [2623] '|mWN |Qi=Ut |=yxv=}=B w |Div |=ywmU u}@ Qi=Ut |=yj}=k Ot;wCiQ j} Q] R= |Div |=ywmU w |Q=iL |=ypmO |= Q@ p}wR=o CNwU QkDUt Qw=vW CNwU uR=Nt w |Q=iL |=ypmO w |Div |=ywmU u}@ u=UQCNwU QkDUt |=yu}@QwD C= Q}taD w |Q=Oyov C=}rta |Ov@u=tR w |@=} Q}Ut [27] '=}QO QO |xrUt [28] 'u= RQwQ=m xwQo x@ RyHt |vi |=yQw=vW \UwD |}=} QO |=ywmU QO |x= Q= Qw_vtx@ u=@}DWB |=yQw=vW w Q=}U |y=JQU |=yxOvyOCtON |@=} Q}Ut [29] "TQ=i G}rN QO QkDUt |y=JQU |=ywmU x@ u=@}DWB w |vi C=tON |=yxirwt Q=vm QO |v=tR |xQHvB |xirwt uDiQo Q_v QO x@ xHwD =@ xrUt u}= |=yC}OwOLt Q}=U w lQLDt |y=JQU |=yQw=vW w u=@}DWB |=yQw=vW u}@ |]=@DQ= x@ "CU= PVRPTW |xrUt x@ C@Uv |QDxO}J}B |=yx@vH |= Q=O '|Ov@u=tR Q@ |Q=mD@= sD} Qwor= l} u}vJty w O}OH |[=} Q pOt l} xr=kt u}= QO x@ &OvwW|t x=Q= (B) lQLDt |y=JQU |=yQw=vW w (A) u=@}DWB |vi C=t= Rr= jiw xm CU= u}= R=|W=vx]@= Qu}=p}rO"CU=Q= QkQ@ jBj jAj|x]@= Q '|R}Qxt=vQ@ |=yji= s=tD QO '|DUOq=@ |vi |=yOL=w \UwD xOW sqa= |UOvyt w R= =yx=J C=tON x@ C@Uv |twta C=tON x@ |y=JQU |=ywmU |OvtR=}v xQ=wty |y=JQU |=yQw=vW |}x}=tQU |=yxv}Ry w xOw@ Q=OQwNQ@ |QDW}@ ?D=Qt x@ C}tm u= Q}= Civ |rt CmQW C@Uv u}ty x@ w CU= QDW}@ u=@}DWB |=yQw=vW R= lQLDt QO u=@}DWB |=yQw=vW O=OaD x@ C@Uv = Q |QDtm lQLDt |y=JQU |=yQw=vW O=OaD |v=@}DWB Qw=vW I}y "OvDUy Qo}Om} Ovv=t xawtHt Qy |=[a= "OQ=O OwN C}mr=t "TmaQ@ w OyO s=Hv= = Q lQLDt |y=JQU Qw=vW l} Q=m Ov=wD|tv |v=tR hkU =@ |}xQwOOvJ |R}Qxt=vQ@ji=QO=yxQwO|xawtHtxrUtu}=QOP OvtR=}v |y=JQU |=ywmU R= l} Qy 'ji= u}= QO xm|Qw]x@ &CU= xQwO Qy |= Q@ D |xawtHt w F H i Ot=U@ Q=Okt =@ (b) |y=JQU w (a) |twta C=tON Ci=} QO CU= (H 2 fa; bg; i 2 W ) xm OvDUy Q H i CtON Ci=} QO R=Ht C=@}mQD =@ (c) |twta C=tON Ci=} QO OvtR=}v lQLDt |y=JQU |=yQw=vW u}vJty w |xQHvB QO Q c m CtON Ci=} QO R=Ht C=@}mQD |xawtHt w F c m Ot=U@ Q=Okt |R}Qxt=vQ@ xQwO Qy |=OD@= QO |oty w (m 2 B) xm OvDUy [e m ; l m ]|v=tR ji= =@ xrUt l} p=Ft |= Q@ "OvwW|t XNWt |DUOq=@ |vi |=yOL=w \UwD 1 xQ=tW |y=JQU |wmU |= Q@ u; QO xm O} Q}o@ Q_v QO = Q |}xQwO 5 |R}Qxt=vQ@ Q a 1 f(1; 2;4);(2; 3;5)g w F b 1 = 2 w F a 1 = 3 =@ Q@=Q@ CtON Ot=U@ Q}O=kt Ci=} QO R=Ht C=@}mQD |=yxawtHt Q b 1 = f(1; 3); (1; 4);(2; 5); (2; 4)g w CtON Ci=} QO Qw_vtx@ 1 xQ=tW |y=JQU |wmU p=Ft u}= QO "OvW=@ C=tON xawtHt QO ?=NDv= wO |= Q=O |}xQwO 5 |R}Qxt=vQ@ ji= QO x@DQt xU u= R}t x@ a QO O}=@ wmU u}= 'OwW ?=NDv= ( [1] "CU= |ak=w `Q= Rt R= Q}W |Qw;`tH [62] '|QyWuwQO |=yxr=@R w |Di=} R=@ O=wt |Qw;`tH Q}_v [10] '|DUB |=yxDU@ w =yxt=v `} RwD [9] '=yu=DUQ=t}@ u}@ uwN `} RwD [8w7] 'u= RQw=Wm w QO """ w Q=o}U '|vO}Wwv |xOvyOx= Q= Q=mOwN |=yu}W=t CW=Oyov w |v=@}DWB QO u=wD=v u=mOwm |= Q@ |WRwt;ltm u=}@Qt |@=} Q}Ut w X}YND [11] 'QyW K]U C}iQ_ x@ xHwD =@ |QyW |=yQ=]k |Ov@u=tR |xt=vQ@ |R=UpOt [12] 'QyW K]U C= Q}taD w |Q=Oyov |= Q@ Qy=t |=yRQwQ=m |@=} Q}Ut [13] '|v=tR |=yxQHvB w =yQ=]k |=yx=oDU}= u}@ |Div |=yxOQw; Qi `} RwD [14] 'QyW K]U QO Q@u=U; w |kQ@ |=yxrB TB |D=}L sqk= |Q= Q][= u}t -=D …”
mentioning
confidence: 99%