简介:Theauthorsanalyzeafinitehorizon,singleproduct,periodreviewmodelinwhichpricingandinventorydecisionsaremadesimultaneously.Demandsindifferentperiodsarerandomvariablesthatareindependentofeachotherandtheirdistributionsdependontheproductprice.Pricingandorderingdecisionsaremadeatthebeginningofeachperiodandallshortagearebacklogged.Orderingcostisaconvexfunctionoftheamountordered.Theobjectiveistofindaninventoryandpricingpolicymaximizingexpecteddiscountedprofitoverthefinitehorizon.Theauthorscharacterizethestructureoftheoptimalcombinedpricingandinventorystrategyforthismodel.Moreover,theauthorsdemonstratehowtheprofit-to-gofunction,orderuptolevel,reorderpointandoptimalpricechangewithrespecttostateandtime.
简介:Inthispaperweprovideasufficientandnecessaryconditionfortheeigenvalueandeigenvectorofageneralreduciblematrixinadiscrete-eventsystemdescribedbythe“max”algebra,analysethesteadyperiodicalperformanceofthesystem,andobtainananalyticsolutionofthedynamicequation.Weproposetheconceptionof“order-d-(?)-block-periodicalmatrix”andobtainitssufficientandnecessaryconditionandprovideanalgorithmof(?)matrix.
简介:Socialmediaandconsumerbehaviorareincreasinglyimportantinbusinessnowadays.Asanewformofadvertising,socialmediadofacilitatetheincreaseindemandandbringachallengetomanufactures.Whileresearchersdemonstratedthatinsufficientcapacitygeneratesthelossintheprocessofsales,anoppositeconclusionhasbeenobtainedthattheprofitislargerininsufficientcapacity.Thisstudyinvestigatesthissituationofamanufacturer.Wedevelopamultiperiodmodelofinsufficientcapacityconcerningwithsocialmediaandconsumerbehavior.Ancalculationofthemodelindicatesthatagreatchangeappearsinthedemandofeachperiod.Toensurethemaximumprofit,thecapacityofeachperiodiscomputed.Andtheprofitisalmost8timeslargerthanthatwedonotconsidersocialmediaandconsumerbehavior.Wediscusstheimplicationsofourfindingsforboththeoryandpractice.
简介:双犹豫的模糊集合(DHFS)是由二部分组成的模糊集合(FS)的新归纳(即,会员迟疑功能和非会员迟疑工作),它面对显示认识的度的几不同可能的价值是否必然或无常。它包含模糊集合(FS),intuitionistic模糊集合(IFS),和犹豫的模糊集合(HFS)以便它能在决策的过程更灵活地处理不明确的信息。在这份报纸,我们基于爱因斯坦t-conorm和t标准在双犹豫的模糊集合上建议一些新操作,学习他们的性质和关系然后给一些双犹豫的模糊聚集操作员,它能被看作一些存在的归纳在下面模糊,intuitionistic模糊、犹豫的模糊环境。最后,在双犹豫的模糊环境下面的一个决策算法基于建议聚集操作员被给,一个数字例子被用来表明方法的有效性。
简介:Thispaperdealswithadiscrete-timeGeo/Geo/1queueingsystemwithworkingbreakdownsinwhichcustomersarriveatthesysteminvariableinputratesaccordingtothestatesoftheserver.Theservermaybesubjecttobreakdownsatrandomwhenitisinoperation.Assoonastheserverfails,arepairprocessimmediatelybegins.Duringtherepairperiod,thedefectiveserverstillprovidesserviceforthewaitingcustomersatalowerservicerateratherthancompletelystoppingservice.Weanalyzethestabilityconditionfortheconsideredsystem.Usingtheprobabilitygeneratingfunctiontechnique,weobtaintheprobabilitygeneratingfunctionofthesteady-statequeuesizedistribution.Also,variousimportantperformancemeasuresarederivedexplicitly.Furthermore,somenumericalresultsareprovidedtocarryoutthesensitivityanalysissoastoillustratetheeffectofdifferentparametersonthesystemperformancemeasures.Finally,anoperatingcostfunctionisformulatedtomodelacomputersystemandtheparabolicmethodisemployedtonumericallyfindtheoptimumservicerateinworkingbreakdownperiod.
简介:LetFbeafieldofcharacteristiczero.Wn=F[t(+1/2),t(+1/2),...,t(+1/n)]δ/δt1+...+F[t(+1/2),t(+1/2),...,t(+1/n)]δ/δtnistheWittalgebraoverF,Wn+=F[t1,t2...,tn]δ/δt+...+F[t1,t2...,tn]δ/δtnisLieshbalgebraofWn.ItiswellknownbothWnandWn+aresimpleinfinitedimensionalLiealgebra.InZhao'spaper,itwasconjecturedthatEnd(Wn^+)-{0}=Aut(Wn^+)anditwasprovedthatthevalidityofthisconjectureimpliesthevalidityofthewell-knownJacobianconjecture.Inthisshortnote,wechecktheconjectureaboveforn=1.WeshowEnd(W1^+)-{0}=Aut(W1^+).
简介:Nowstudyingfordoctor'sdegreeatinstituteofSystemsScience,AcademiaSinica.TheoremDI4]Letk21beaninteger.IfGisaconnectedclaw-freegmphwithhiV(G)levenandwithminimumdegreee(G)atleastZk,thenGhasak-factor.Inthispaper,wegeneralizedtheresultofTheoremC,andobtainthefollowingTheoremifGisanN'-locallyconnectedclawtheegraphwithb(G)22,thenGhasa2-factor.2.LemmasLemma1IfGisanN'-locallyconnectedclaw-acegashwith6(G)22,thenforeachxo6V(G),Ghasashonestcyclecontainingxoandhavingatmost5venices.Lemma2IfGisanN'--locallyconnectedclaw-fr?