254201112JournalofHebeiNormalUniversityofScience&TechnologyVol.25No.4Dec2011121*10660002。O226A1672-7983201104-0071-05。。。1。。。1。1Poisson2、。23。3。4。22.1。X/Y/Z/A/B/C4XYZABC。1M/M/1/∞/∞。。2sssM/M/1/∞/∞。*。。E-mail877238387@qq.com。2011-04-022011-05-08。3。M/M/s/∞/∞5。1232.21λ。λ。2μ。、。3ρ。ρ=λ/μρ>10ρ1。4p0。5L。6Lq。7W。8Wq。。1232333M/M/s/∞/∞。M/M/s/∞/∞pn=pN=nn=012…i。1λn=λn=0123…i11λ。2725μn=nμn=0123…isμn=ss+1…i{22snμsμ。。3pn=ρnnp0n=123…sρnsn-sspn=ss+1…{i3p0=∑s-1n=0ρnn+ρss1-ρs[]-1200731910.22Lq=∑∞n=s+1n-spn=p0ρsρss1-ρs2200732010.24Lq=1-ρW=L/λWq=Lq/λ=W-1/μλμs6~8、、。。3。。3.1M/M/s/∞/∞SM/M/s/∞/∞λμs。Cz4Cz=C1s+C2L4C11。C2L。4ssCzsCzss*5374Czs*≤Czs*+1Czs*≤Czs*-1{5Cz=C1s+C2L5C1s*+C2Ls*≤C1s*-1+C2s*-1C1s*+C2Ls*≤C1s*+1+C2s*+1{6Ls*-Ls*+1≤C1/C2≤Ls*-1-Ls*6s=123…i2LC1/C26s*。。45/25/C1=6C2=3。。λ=45/μ=25/ρ=λ/μ=1.8M/M/s/∞/∞p0Ls。p0=∑s-101.8nn+1.8ns-1s-1.8[]-1Lc=1.8n+1s-1s-1.82+1.81sLsLs-Ls+1Ls-1-LsFs1∞∞∞29.096.96∞39.2732.130.316.9624.3941.830.030.3029.4951.800.0335.40=2C1/C20.31~6.96s*=33ZZs*=Z3=24.393.2L。。3。。、、3k'm'g'kmg。μx%y%z%。k'kx%+m'my%+g'gz%7μ'=μk'kx%+m'my%+g'gz%77。44725。。1.J.2008301125-126.2.M.2.2003.3.M..2000.4.J.201018512-1318.5.J.200913395-102.6.J.2009301065-68.7.J.200014328-30.8.J.20063220-21.1988-。。TheApplicationofQueuingTheoryinProductMaintenanceServicePersonnelDesignLIUDong1ZHULing2HELIANZhi-wei11CollegeofEconomyandManagementYanshanUniversityQinhuangdaoHebei0660042People’sUniversityofChinaChinaAbstractInordertoimprovetheenterpriseproductmaintenancepersonnelserviceefficiencyandquantizationdecision-makingmethodthequeuingtheorywasusedtoimprovemaintenanceservicesystemoptimization.Sin-gle-cohortmulti-maintenanceservicepersonnelqueuesystemwasfirstidentified.Theanalyticaloptimizationmodelwasthenpointedoutusingthediscretefunctionandmarginalanalysistoimproveproductmaintenancepersonnelserviceefficiencymethodandtheapplicationexampleswerealsogiven.Keywordsenterprisemanagementproductmaintenanceserviceefficiencyserviceoptimizationqueuingthe-ory櫴櫴櫴櫴櫴櫴櫴櫴櫴櫴櫴櫴櫴櫴櫴櫴櫴櫴櫴櫴櫴櫴櫴櫴櫴櫴櫴櫴櫴櫴櫴櫴櫴櫴櫴櫴櫴櫴櫴櫴櫴櫴櫴櫴marginalanalysis70TeachingReformofCivilEngineeringDrawingBasedonEngineeringAbilityTrainingLIChun-liuJINXi-pingLIBing-xinCAOZhi-gangSUIFeng-taoCollegeofUrbanConstructionHebeiNormalUniversityofScience&TechnologyQinhuangdaoHebei066004ChinaAbstractSeveralissuesoccurinpresentCivilEngineeringDrawingcoursesuchasteachingcontentislaggingbehindthedevelopmentoftheengineeringcourseteacherslackthepracticalabilityschool’shardwarelagbe-hindtheteachingrequirements.Theseresultinthelackofpracticalabilityofstudents.Accordingtoourresear-chesCivilEngineeringDrawingcoursecontentshouldbedividedintosixmoduleswhicharedescriptivegeom-etryengineeringgraphicsbasicsknowledgeofcivilengineeringdesignprofessionalgraphicscomputergraph-icsandcurriculum.Keywordscivilengineeringdrawingengineeringabilityteachingreform574