所得税缴费点选址问题英文.docx
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所得税缴费点选址问题英文.docx
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所得税缴费点选址问题英文
Incometaxpaymentpointlocationproblem
Abstract
Themaincontentofthispaperistopaythelocationofrationalizationstandard,andreasonablelocation.
Modelassumptionsofnearbyresidentschoosetopaytaxes.Itssiteselectioncriteriaare:
thatallresidentstopaytaxpointofthejourneyandasshortaspossible,residentstotaxpointdistancedifferencesassmallaspossible,modelthelocationproblemisunderstoodasamultipleobjectiveprogrammingproblems.Sincetheprobleminvolvesonly18place,sotheuseofexhaustivemethodforoptimalsolutionofexploration,theshortestdistancebetweentwopointsiscalculatedusingDijkstraalgorithm.
Basedonthemodelassumptionsandreasonablesitingcriteria,theoptimizationcalculationandanalysis,thispaperconcludesasfollows:
(1)theoriginallocationoftheunreasonabletax;
(2)ifconsideringrelocating1tax,onlyconsideringthetotaldistancetravelledtheshortcases,shouldtheoriginalposition15toposition4taxpointmigration;
(3)iftheoriginalplantoaddanewtaxpoint,thepointisbestlocatedatposition5.
Thisproblem,becauseofthedifferenttaxdistributionbetweenresidentsnearthenumberofrelativelylargedifferences,ifonlyinaccordancewiththeprincipleofproximitytotaxresidents,willleadtodifferenttaxpointtoservetheneedsoftheresidentsbetweenthenumberofrelativelylargedifferences.Ifthetaxofferstheservicenumberofwindowsarethesame,itispossiblethatinsometaxpointresidentsneedwaitingforlongperiodsoftime,whileotherspaytaxatthepointofservicewindowforquitealongtime.
Inordertoreflecttheeffectoffactorsonsitingreasonability,modelwillreachataxpointresidentsrequiredwalkingdistanceandtothetaxpointofthetotalnumberofratiosasmodelreferencevolume,asoneofthestandardstopaysomerationality.
Keywords:
theDijkstraalgorithm;theshortestpath;ratiomethod
Theproblem
Theincometaxauthoritiesplantoaregioninthepaymentpointswereredesigned.Theareaoriginallyhad4eachpaypoints,respectively,inFigure1the2,6,13,15position.Figure1istheareaofapracticalsimplified,inwhichtheconnectinglinesexpressroadinterlinked,aconnectinglinedigitalrepresentationofthedistancebetweenthetwoplaces(theunitofhundredmeters),circlenumberistheserialnumber.
表1各点居民数(单位千人)
位置
1
2
3
4
5
6
7
8
9
人数
50
45
45
48
40
40
36
32
32
位置
10
11
12
13
14
15
16
17
18
人数
30
30
36
25
20
15
20
10
10
Pleaseyoutosolvethefollowingproblems:
(1)givesthereasonableselectioncriteria.
(2)accordingtoyourstandards,analysisoftheoriginallocationisreasonable?
(3)ifconsideringrelocating1paypoints,shouldtransferthepayment,movedtowhere?
(4)iftheoriginalplantoaddanewtollpoint,thepointisbestinwhere?
Problemanalysis
Lawfullypaytaxesistheresponsibilityofeverycitizenandobligationofeverycitizen,butalsointhelifeessentialpart.Managementshouldenablecitizenstotraveltheshortdistancetopayforcitizenstopaytaxes,providemaximumconvenience.Therefore,selectingreasonablepaymentisparticularlyimportant.
Thispapergivesaregionalpopulationaggregationpointdistancelength,populationnumber,asksustodesignreasonablesitingcriteria,assessmentoftheexistingpaymenttherationality,andaccordingtotheselectionstandarddesignotherpaymentscheme.
Modelassumptions
Hypothesis1:
notconsideringtrafficweatherfactors,eachroadareopenatanytime.
Hypothesis2:
ifthesamesettlementsallresidentschoosethesametaxtax;
Hypothesis3:
theassumptionthatalltaxofferstheservicenumberofwindowsarethesame,andisfinite;
Hypothesis4:
Residentsinnearbyprinciplechoiceoftaxpoint;
Hypothesis5:
allresidentsmustpayincometax,andeachresidentisindependentofthecompletionofincometax.
Hypothesis6:
allpayallworkindependently.
Hypothesis7:
thecapturepointsaroundanexcessivenumberofservicequalityandworkefficiencyisnotaffected.
Symboldescription
:
Toacertainnumberofresidentspaypointstotal(1000persons)
:
By
pointingtothenode
distance
:
Atacertainpointresidentspaytheminimumdistance
:
Topayacertainpointdistance
andthenumberofinhabitants
ofpayment
:
Thedistancebetweennodes
and
Buildingmodelanditssolution
Modelspecification:
Accordingtothepassage,sothattheresidentstopaypointoftheshortestpathastheoptimalcriterion.UsingDijkstraalgorithm,itreachedacertainpointofthenumberrequiredtopaythetotaldistanceis
.Becauseeachaccumulationpointandthenumberofeacharenotidentical,andthedifferenceisbigger,needtoconsidereachaccumulationpointnumberintothemodel,therefore:
walkingratewassaid
toeachpaymentpercapitatowalkingdistancenumber.Ifacertainpaymentpointwalkingrateisfargreaterthanthatofotherpaymentpointwalkingrate,canshowthispaymentisnotreasonable,inordertomeasurethecontributionpointselectionisreasonable.
Problemone:
Taxpointselectionshouldbethemaximumfortaxpayerstoprovideconvenient,thusitslocationmustfirstmakeallresidentstopaytaxpointofthejourneyandasshortaspossible,toreducethetaxesrequiredtopointthewayforthetime,inspectparameter
.
Duetotheactualsituationofeachtaxpointperunittime,businessabilityislimited,anditsscaleisrelated,whenthespecifiedtimebusinessamountexceedsthetaxforability,residenttaxservicesincludingthetimejourneytimeandwaitingtimeoftwopart.Inordertoreducethewaitingtime,thetaxpointdistributionofpeopleshouldbeasuniformaspossible.Notonlytoallpayinglittleproportiontosaid,alsoneedto
walktodistinguishallpaymentratetherationality.
Questiontwo:
Thequestionaskedtoassesswhethertheoriginalpaymentwithlocationoptimizationcriteria,canbeutilizedtobuildthemodelofstandardmeasurement.
Theoriginalplanfourpaypointsandthenumberofdistributiontable
Theoriginalplanofthetaxpointnumberdistribution
Paypoint
Thenumberoftaxpointsource
2
1、2、3、5、7、8、9、10、11
340
0.976
6
4、6、18
98
0.93
13
12、13、14
81
2
15
15、16、17
45
1.07
Thus,wethinkthattheoriginalplantaxpointsetisnotreasonable.Thereasonsareasfollows:
(1)firstofalltheresidentstopaytaxpointofthejourneyandtoolarge,reaching13998(onehundredthousandM),ifthelocationisreasonable,canmakethejourneyandtheshortesttoreach10850(onehundredthousandM),the13998alotofdifference,alsoincreasedtheresidentspaytraveldifficulties.
(2)followedbyfourpaypointsandthenumberofdistributionisnotuniform,with61%residentsto2tax,whichwassignificantlyassociatedwiththreeotherlocationdifferences,notonlycausesthetaxpoint2ofthepersonnelcrowdedwaitingtimeistoolong,atthesametimethattheotherthreepointstoreducethenumberoftaxes,makingitsuseratereduce.
(3)thelastresidentstonearbyprincipletoincometaxpointwalkingratealsodiffersveryfar,paytaxes13walkingratewas2,significantlylargerthantheotherthreepaypointswalkrate,affectedtheresidentsofpaymenttime.
Questionthree:
Topic1Taxmigrationmakeslocationismorereasonable,bytheissueoftwo,point2andpoint15feepaymentareirrational,paying2percapitadistributionisnotuniform,payment15walkingrateisnotreasonable,soconsiderthemigrationissue,shouldfromthetwopaypoint.
2payment.
1
20
50
0.4
2
0
45
0
3
26
45
0.578
5
28
40
0.7
7
66
36
0.868
8
60
32
0.833
9
30
32
0.937
10
28
30
0.933
11
30
30
1
Thesum
288
340
0.976
6payment.
4
18
48
0.375
6
0
40
18
36
10
3.6
15payment.
15
0
15
17
36
10
3.6
16
24
20
1.2
Thesum
60
30
2
13payment.
12
28
36
0.778
13
0
25
14
32
20
1.6
Thesum
60
81
1.07
Theoriginaltollpointwalkingratetable1
Paypoint
Thenumberoftaxpointsource
2
1、2、5、7、8、9、10、
205
1.126
12
3、11、12、
128
1.234
6
4、6、16、17、18
111
0.414
13
13、14、15、
60
1.633
Thenewschemefourpaypointsandthenumberofdistributiontable
Theoriginalplanfourpaytheamountdistributiontable
Firstweonpaymentof2analyses:
topay2topaythelargestnumber,ifthetransferfeeof2,willresultina340changetogetherpaysites,butitaddstothepaymentdifficulty.Payment2atthedowntownlocation,ifthemigration,willbesubjecttotraffic,weatherandotherfactors,increasedmobilitydifficulty.
Secondlyweanalyzethepayment:
payment15pointatthefringeofthecity,tothepayment15paymentnumberisminimal,ifmigrationisnottoomanyfactors,andthepaymentof15walkingrateisthemostunreasonable.
Inconclusion,transferpayment15isthemostrationalchoice.Andthistableinthetransferknowledge,by15perpointwalkingrate,accordingtothecomparison,discovered5and12tollpaymentwalkingrateandpercapitaarrangementisrelativelyreasonable,sowecarriedoutadetailedanalysisoftheabovetwo.
Questionfour:
Bythree,whenmovedtomovetopay5,numberswerebalanced,residentswalkrateismoderate,sothat,thepaymenthascertainpracticabilityandefficiency,canusethispointasthenewlocationofareferencepoint,inaccordingtothequestionthecalculatedlocationallwalkfarrate,see5pointsisthemostsuitablesitelocation.Sowemakethefollowinganalysis.
Paypoint
Thenumberoftaxpointsource
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