模拟退火算法在应急物流车辆调度中的应用

1、、。、、。VRPVehicleRootingProblem。VRP,、、、、、、、。VRPVRP。。VRP。SAMetropolis。。2。VRPnigiUTiLTi、()cijtij(ij=012…n012…n)q(qi=12…n)。。2009316180LOGISTICSENGINEERINGANDMANAGEMENT□，，(，430074)【】、。，，，，。【】；；【】F252【】B【】1674-4993(2009)06-0008-03ApplicationofsimulatedannealingalgorithminEmergencyLogisticsDistributionVRP□WANGHai-junYANGLi-juanWANYu-ranSchoolofmanagementHuazhongUniversityofScienceandTechnology,Wuhan430074,China【Abstract】Emergencylogisticsisakindofspeciallogisticalactivitysolvingallkindsofunexpectedeventswhicharede－mandedseriouslytothegoodsandmanpower.Accordingtothecharacteristicsoftheemergencylogistics,thistextappliesthesimulatedannealingalgorithmintheemergencylogisticsdistributionVRP.Atthesametime,anexampleisgiventocomparethethesimulatedannealingalgorithmandtheimmunealgorithmthroughwhichtoprovetheusabilityandglobaloptimalityofthesimulatedannealingalgorithminthevehiclerootingproblem.【Keywords】emergencylogistics;simulatedannealingalgorithm;vehiclerootingproblem【】2009-05-12【】1970－。。。··。①、。②。。③。④。⑤。。hihRthiRTi:RTi=Rth+UTh+thi(1.1)xijk=1kij0yki=1kii0::miniΣjΣkΣcijxijk1.2iΣgiyki≤q坌k1.3RTi≤LTii=12…n1.4kΣyki=1i=12…n1.5iΣxik=ykii,j=12…n坌k1.6jΣxijk=ykiij=12…n坌k1.7X=xijk∈S1.8cijij、、cij。cij。(1.2)(1.4)(1.5)1(1.6)k(1.7)k(1.8)k。3。SA。、Metropolist、。1。1Metropolist3.1。012…8。n=81230456078010→1→2→3→020→4→5→6→030→7→8→0。3.21-8。1230456078381280456073.3.3。f(v)=iΣjΣkΣcijxijk+Mmk=1Σmaxli=1Σgiyki-q,ΣΣ0+Mlj=1Σmax(sj-LTj,0)M(M)。69313.4Tk+1=Tk·rr=0.95。3.51i∈ST0Tfk=0,Tk=T0。2j∈N(i)N(i)iΔf=f(j)-f(i)。3Δf0i=j4ξ=U01,exp-ΔfTkξi=j。4n(Tk)52。5Tkk=k+1TkTf2。48。860/。。、2、30。T0=1000r=0.95Tf=10N=200。404。2/t/h/h110.2[-6]220.3[-6]340.5[-3]430.4[-7]51.50.2[-6]610.5[-5]72.50.4[-7]830.4[-9]3012345678002080657080408060120018355050407060280180754060757575365357503050909015047050403002075751005805060502007090756404075907570070100780707590759070010086060751501007510010004588593603608610613615618=f=65522352532850588km。:1:0-1-2-5-8-O233km;2:0-4-3-0165km3:0-6-7-0190km。[4]56106206456656907057303483211150610km。:1:0-6-5-4-0200km;2:0-8-2-7-0290km3:0-3-1-0120km。①100%②;③50621.81.93%5022,601.3。5。。,。[][1]，，，，，.[N].，2004，（27）：164-166.[2],,.[N]..2006,(3),104-107.[3]，，，，.[M].：，2007，4.[4].[J].，2007.[5]，，.[J].，2009，(3),651-653.10