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StudyonHumanResourceAllocationinMulti-ProjectBasedonthePriorityandtheCostofProjects

LinJingjing,ZhouGuohua

SchoolofEconomicsandmanagement,SouthwestJiaotongUniversity,610031,China

Abstract----Thispaperputforwardtheaffectingfactorsofproject’spriority.whichisintroducedintoamulti-objectiveoptimizationmodelforhumanresourceallocationinmulti-projectenvironment.Theobjectivesofthemodelweretheminimumcostlossduetothedelayofthetimelimitoftheprojectsandtheminimumdelayoftheprojectwiththehighestpriority.ThenaGeneticAlgorithmtosolvethemodelwasintroduced.Finally,anumericalexamplewasusedtotestifythefeasibilityofthemodelandthealgorithm.

IndexTerms—GeneticAlgorithm,HumanResourceAllocation,Multi-project’sproject’spriority.

1.INTRODUCTION

Moreandmoreenterprisesarefacingthechallengeofmulti-projectmanagement,whichhasbeenthefocusamongresearchesonprojectmanagement.Inmulti-projectenvironment,thesharearecompetitionofresourcessuchascapital,timeandhumanresourcesoftenoccur.Therefore,it’scriticaltoscheduleprojectsinordertosatisfythedifferentresourcedemandsandtoshortentheprojects’durationtimewithresourcesconstrained,asin[1].Formanyenterprises,thehumanresourcesarethemostpreciousasset.Soenterprisesshouldreasonablyandeffectivelyallocateeachresource,especiallythehumanresource,inordertoshortenthetimeandcostofprojectsandtoincreasethebenefits.Someliteratureshavediscussedtheresourceallocationprobleminmulti-projectenvironmentwithresourcesconstrained.Reference[1]designedaniterativealgorithmandproposedamathematicalmodeloftheresource-constrainedmulti-projectscheduling.Basedonworkbreakdownstructure（WBS）andDantzig-Wolfedecompositionmethod,afeasiblemulti-projectplanningmethodwasillustrated,asin[2].References[3,4]discussedtheresource-constrainedprojectschedulingbasedonBranchDelimitationmethod.Reference[5]putforwardtheframeworkofhumanresourceallocationinmulti-projectinLong-term,medium-termandshort-termaswellasresearchanddevelopment（R&

D）environment.BasedonGPSSlanguage,simulationmodelofresourcesallocationwasbuilttogettheproject’sdurationtimeandresourcesdistribution,asin[6].Reference[7]solvedtheengineeringproject’sresourcesoptimizationproblemusingGeneticAlgorithms.Theseliteraturesreasonablyoptimizedresourcesallocationinmulti-project,butallhadthesameprerequisitethattheproject’simportanceisthesametoeachother.Thispaperwillanalyzetheeffectsofproject’spriorityonhumanresourceallocation,whichistobeintroducedintoamathematicalmodel;

finally,aGeneticAlgorithmisusedtosolvethemodel.

2.EFFECTSOFPROJECTSPRIORITYONHUMANRESOUCEALLOCATIONANDTHEAFFECTINGFACTORSOFPROJECT’SPRIORITY

Resourcesharingisoneofthemaincharacteristicsofmulti-projectmanagement.Theallocationofsharedresourcesrelatestotheefficiencyandrationalityoftheuseofresources.Whenresourceconflictoccurs,theresourcedemandoftheprojectwithhighestpriorityshouldbesatisfiedfirst.Onlyafterthat,cantheprojectswithlowerprioritybeconsidered.

Basedontheideaofprojectclassificationmanagement,thispaperclassifiestheaffectingfactorsofproject’spriorityintothreecategories,astheproject’sbenefits,thecomplexityofprojectmanagementandtechnology,andthestrategicinfluenceontheenterprise’sfuturedevelopment.Thepriorityweightoftheprojectisthefunctionoftheabovethreecategories,asshownin

（1）.W=f（I,c,s…）

（1）

Wherewreferstoproject’spriorityweight;

Ireferstothebenefitsoftheproject;

creferstothecomplexityoftheproject,includingthetechnologyandmanagement;

sreferstotheinfluenceoftheprojectonenterprise.Thebiggerthevaluesofthethreecategories,thehigherthepriorityis.

3.HUMANRESOURCEALLOCATIONMODELINMULTI-PROJECTENVIRONMENT

3.1ProblemDescription

Accordingtotheconstrainttheory,theenterpriseshouldstrictlydifferentiatethebottleneckresourcesandthenon-bottleneckresourcestosolvetheconstraintproblemofbottleneckresources.Thispaperwillstressonthelimitedcriticalhumanresourcesbeingallocatedtomulti-projectwithdefinitedurationtimesandpriority.

Tosimplifytheproblem,wesupposethatthatthreeexistseveralparallelprojectsandasharedresourcesstorehouse,andtheenterprise’soperationonlyinvolvesonekindofcriticalhumanresources.Thesupplyofthecriticalhumanresourceislimited,whichcannotbeobtainedbyhiringoranyotherwaysduringacertainperiod.whenresourceconflictamongparallelprojectsoccurs,wemayallocatethehumanresourcetomulti-projectaccordingtopr