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Solution Manual For Civil And Environmental Systems Engineering, 2nd Edition - Document preview page 1

Solution Manual For Civil And Environmental Systems Engineering, 2nd Edition - Page 1

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Solution Manual For Civil And Environmental Systems Engineering, 2nd Edition

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Solution Manual For Civil And Environmental Systems Engineering, 2nd Edition - Page 1 preview imageContents1EXPLAININGSYSTEMSANALYSIS1-12MODELSINCIVILANDENVIRONMENTALENGINEERING2-13AGRAPHICALSOLUTIONPROCEDUREANDFURTHEREXAMPLES3-14THESIMPLEXALGORITHMFORSOLVINGLINEARPROGRAMS4-15LINEARPROGRAMSWITHMULTIPLEOBJECTIVES5-16LINEARPROGRAMMINGMODELSOFNETWORKFLOW6-17INTEGERPROGRAMMINGANDITSAPPLICATIONS7-18SCHEDULINGMODELS:CRITICALPATHMETHOD8-19DECISIONTHEORY9-110LESSONSINCONTEXT:SIMULATIONANDTHESTATISTICSOFPREDICTION10-111LESSONSINCONTEXT:AMULTIGOALWATERRESOURCESPROBLEMUTILIZINGMULTIPLETECHNIQUES11-112LESSONSINCONTEXT:TRANSPORTATIONSYSTEMS12-113DYNAMICPROGRAMMINGANDNONLINEARPROGRAMMING13-114ENGINEERINGECONOMICSI:INTERESTANDEQUIVALENCE14-115ENGINEERINGECONOMICSII:CHOICEBETWEENALTERNATIVES15-116ENGINEERINGECONOMICSIII:DEPRECIATION,TAXES,INFLATION,ANDPERSONALFINANCIALPLANNING16-1
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Solution Manual For Civil And Environmental Systems Engineering, 2nd Edition - Page 2 preview imageDownloadedfromStudyXY.com®+StudyXYSdYe.o>\|iFprE\3SStudyAnythingThisContentHasbeenPostedOnStudyXY.comassupplementarylearningmaterial.StudyXYdoesnotendroseanyuniversity,collegeorpublisher.Allmaterialspostedareundertheliabilityofthecontributors.wv8)www.studyxy.com
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Solution Manual For Civil And Environmental Systems Engineering, 2nd Edition - Page 3 preview imageChapter1HOMEWORKSOLUTIONS1-1Solution(a)Decisionvariables:AmountofsulfurdioxidetoremoveateachpowerplantintheMidwest(poundspertimeperiod).(b)Parameters:1.Amountofuntreatedsulfurdioxideemittedbyeachpowerplantpriortoremoval.2.Costperpoundforremovalofsulfurdioxideateachpowerplant.3.AirqualitydegradationateachmonitoringsiteintheNortheastcausedbyapoundofsulfurdioxideemittedateachplantintheMidwest.(c)Objectivefunction:Minimizethesystem-widecostofsulfurdioxideremovalatallpowercoal-firedpowerplantsintheMidwest.(d)Constraints:1.DesiredairqualityintheNortheastisachieved(concentrationsatallmonitoringsiteslessthanorequaltoanupperlimitconcentration).2.Treatmentschemeisseenasequitable.1-2Solution(a)Decisionvariables:Headcapacityofthepump,diameter(andmaterial)ofthepipeline.(b)Parameters:1.Flowrequiredatthetreatmentplant.2.Deliveredheadatthetreatmentplant.3.Frictionfactor(s)forthepipeline.4.Elevationdifference,pipelinelength.5.PumpCharacteristics.6.Costforeachcapacityofpumpandeachdiameterofpipeline.7.Discretepumpandpipelinesizeavailable.(c)Objectivefunction:Minimizethetotalcostofpumpandpipeline.1-1Study
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Solution Manual For Civil And Environmental Systems Engineering, 2nd Edition - Page 4 preview image(d)Constraints:1.Requiredflowisdelivered.2.Requiredheadisdelivered.1-3Solution(a)Decisionvariables:Numberoftollboothstobeinstalledattheexit.(b)Parameters:1.Limitonaverage(acrossalllanes)numberofcarsinline.2.Lengthoftherushhourperiod.3.Thenumberofarrivalsatthetollexitduringeachtwo-minutessegmentoftherushhour.4.Servicetimepercarorcarsthatcanbeservicedbyoneboothduringeachandeverytwo-minutesegmentoftherushhour.(c)Objectivefunction:Minimizethenumberoftollboothsattheexit.(d)Constraints:Alimitonthenumberofcarsintheline(averagedacrossalllanes)inanytwo-minuteperiodduringtherushhour.1-4Solution(a)Decisionvariables:1.Widthofbeam.2.Depthofbeam.3.Areaofsteelinbeam.(b)Parameters:1.Imposedmoment.2.Imposedshear.3.Alloweddeflectionforgivenspanlength.4.Unitcostofconcrete.5.Unitcostofsteel.6.Compressivestrengthofconcrete.7.Yieldstrengthofsteel.1-2Study
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Solution Manual For Civil And Environmental Systems Engineering, 2nd Edition - Page 5 preview image8.Minimumrelativeamountofsteelrequired.9.Maximumrelativeamountofsteelrequired.(c)Objectivefunction:Minimizethetotalcostofthebeam.(d)Constraints:1.Resistingmomentofthebeamisgreaterthanmomentimposed.2.Resistingshearofthebeamisgreaterthantheshearimposed.3.Deflectionofthebeamislessthanthealloweddeflection.4.Relativeamountofsteelisgreaterthanthecodelowerlimit.5.Relativeamountofsteelis/essthanthecodeupperlimit.1-5Solution(a)Decisionvariable:Theamountthatismadeofeachclassofconcrete.(b)Parameters:1.Priceforeachclassofconcrete.2.Percentagebyweightofcement,sand,andgravelineachclassofconcretewithrangesonthosepercentages.3.Unitcosttocontractorforcement,sand,andgravel.4.Amountsofcement,sand,andgravelavailable.5.Limitsontheamountofeachclassofconcretethatcanbesold.(c)Objectivefunction:.Maximizeprofitwhichisthesumoverallclassesofconcreteoftheproductsofpriceandtheamountofconcreteineachclass.(d)Constraints:1.Percentagesbyweightofcement,sand,andgravelineachclassofconcretearewithinallowablerange.2.Amountsusedofcement,sand,andgravelarelessthanamountsavailable.3.Amountsofeachclassofconcretesoldarelessthangivenlimits.1-3Study
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Solution Manual For Civil And Environmental Systems Engineering, 2nd Edition - Page 6 preview image1-6Solution(a)Decisionvariable:Datesonwhichactivitieswilltakeplaceoneachproject.(b)Parameters:1.Numberofteamsofworkersofeachskillcategoryavailabletothefirm.2.Numberofunitsofequipmentofeachcategoryavailabletothefirm.3.Promisedcompletiondatesofeachproject.4.Resourcesintermsofteamsofworkersandequipmentneededforeachactivityoneachproject.5.Costoftemporaryworkersandrentalequipment.6.Paymentforcompletingeachprojectnotreallyneeded,exogenoustotheproblem.(c)Objectivefunction:Minimizethetotalcostofcompletingallprojects.(d)Constraints:1.Numberofteamsofworkersofeachskillcategoryneededonanydayislessthanorequaltothenumberavailablewithinthefirmplusanytemporaryteams.2.Numberofunitsofequipmentofeachtypeislessthanorequaltothenumberavailablewithinthefirmplusrented.3.Eachprojectiscompletedonorbeforeitspromisedcompletiondate.1-7Solution(a)Decisionvariables:Theinstrumenttypestobeplacedaboardthesatellite.(d)Parameters:1.Cost(price)ofeachinstrument.2.Weightofeachinstrument.3.Volumeofeachinstrument.4.Qualityorvalueofinformationthateachinstrumentgathersoneachearthfeature.5.Totalbudgetallowed.6.Totalweightallowed.7.Totalvolumeallowed.1-4Study
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Solution Manual For Civil And Environmental Systems Engineering, 2nd Edition - Page 7 preview image(c)Objectivefunction:Maximizethetotalvalueofinformationgathered.(d)Constraints:1.Totalcostofthepackageislessthanorequaltobudgetallowed.2.Totalweightofthepackageislessthanorequaltoweightallowed.3.Totalvolumeofthepackageislessthanorequaltovolumeallowed.1-8Solution(a)Decisionvariables:Whichsoilteststorun,andfoundationtypeandsizetobuild.(b)Parameters:1.Damagecostforvariousdegreesofsettlement.2.Costofeachpossiblesoiltest.3.Engineer'sestimateoftheprobabilityofeachsoilstrength(notesting).4.Probabilityofhavingaparticularsoilstrength,givenanexperimentaltestresultsfromaparticulartest.(c)Objectivefunction:Minimizetheexpectedvalueoftotalcost,includingcostofexperimentaltestsperformed,foundationdesignandconstructioncost,andbuildingdamagecost(itisassumedthatthecostofthebuildingitselfisaconstantandcanbeignored).(d)Constraints:None.1-5Study
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Solution Manual For Civil And Environmental Systems Engineering, 2nd Edition - Page 8 preview imageChapter2HOMEWORKSOLUTIONSTheproblemsinthischapterareintendedtofacilitatediscussioninaverygeneralsenseaboutmodeling,andengineeringdecisionmaking.Theseproblemsdonothaveexactsolutions.Thosesolutionsprovidedaremeantasexamples.2-1SolutionStudentsmightbeaskedtodiscusstheconflictthatmightexistbetweenobjectives,rankobjectives,etc.ServicesObjectivesTrashCollection-Maximizequalityofservice(equity,regularity,etc.)-Maximizeusageofcapitalequipment.-Minimizelabordisputes.-Minimizecostexcessesandoverruns.MunicipalWater-Maximizeequityinprovisionofwatertocommunity.Supply-Maximizepublicconfidenceinthequalityandreliabilityofwatersupply.-Minimizeriskofwatercontamination.-Minimizetheriskofsupplyshortfallsduringpeakdemandperiods.FireProtection-Maximizeresidentialprotectioncoverage.-Maximizecommercialprotectioncoverage.-Maximizereadinessofpersonnelandequipment.-Maximizecoverageforco-locatedambulanceservices.-Maximizeefficiencyinschedulingpersonnel.Swimming&-Maximizecitizencomfortandsafety.Recreation-Maximizeequityinserviceamongdifferentusergroups.-Maximizemaintenanceeffectiveness.StreetCleaning-Maximizeequityofserviceacrossservicearea.-Minimizedeadheadtravel(vehiclemileswithoutperformingservice).-Minimizeinterferencewithtraffic.-Minimizeobjectionablesideeffectsofservice(noise,dust,etc.).SewageCollection~~-Maximizetreatmentefficiency.&Treatment-Minimizerisktotheenvironmentandtopeople.-Minimizeobjectionablesideeffects(odor,etc.).-Minimizeriskofcollectionsystemfailure.2-1Study
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Solution Manual For Civil And Environmental Systems Engineering, 2nd Edition - Page 9 preview image2-2SolutionSchedulingofclassroomsisdifferentatdifferentuniversities.Studentsmaybeinterestedinknowing,ordiscoveringhowschedulingishandledatyourinstitution.PossibleObjectives-Maximizetheaccommodationofmostimportantclasses.)-Minimizethenumberofunusedseatsduringanyclassperiod.-Minimizethedistancethatoldprofessorsmustwalktoclass.-Minimizethenumberofback-to-backcoursesforasmanystudentsaspossible.-Minimizedistancebetweenlocationsofback-to-backcoursesforagivenstudent.PossibleConstraints-Universityhasafinitenumberofclassroomsavailable.-Classroomshavefixedcapacitiesandlocationsoncampus.-Typeofseatingineachclassroommaybefixed.-Studentsmaynottakemorethanoneclassatatime.-Instructorsmaynotteachmorethanoneclassatatime.-Allrequiredcoursesmustbescheduledfirst.2-3SolutionHereareafewsuggestions.DecisionObjective(s)Constraints1.Whattoeat-Maximizehealth.-Choiceoflocationtodinemaybe-Maximizelimited.enjoyment.-Selectionoffooditemstopurchaseor-Minimizecost.prepare.-Minimizetime-Timeavailableforeatingmybeneeded.limited.-Fundsavailableforacquiringfoodsmaybelimited.-Qualityoffood(nutrition,taste,etc.)maybelimited.2.Howtogettowork-Maximizecomfort. -Modesoftravelmightbelimited.-Minimizetime-Choiceofroutemightbeconstrained.required.-Timeavailablefortravelmightbe-Minimizecost.limited.2-2Study
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Solution Manual For Civil And Environmental Systems Engineering, 2nd Edition - Page 10 preview image3.What/whentostudy~~-Maximizegrades.-Availabletimemaybe-Maximizetime.limited.-Minimizetime.-Minimumamountoftimemaybenecessary.-Subjectsmaybeofdifferentimportance.4.How/whento-Maximizehealth.-Needtocoordinatewithexercise-Maximizeenjoyment.others(team,opponent,etc.).-Cost.-Time.5.Whentosleep-Maximizerest.-Amountofsleeptimerequired.-Needtoawakenbyaspecifictime.-Timerequiredfornon-sleepingactivities.-Only24hoursinaday.2-4Solution[Objecives—Wiayor]Chamber Revidens|Refators[Merchant]Maximizeresidentialcoverage.|3|2|1|5|Maximizecommercialcoverage.41|641Minimizecostofacquiringland.132|5|2|Minimizelanddevelopmentcosts.24364|Minimizeamountoflandrequired.56|42|3|Minimizevalueoflandrequired.65516|Studentsmightbeaskedtoconsiderotherobjectivesorconstituents,ortodiscusstheirownrankingsforobjectives.2-3Study
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Solution Manual For Civil And Environmental Systems Engineering, 2nd Edition - Page 11 preview image2-5SolutionPossibleObjective-Maximizeequityinthedistributionofroutesacrossthepopulation.-Maximizeresourceusage.-Minimizetotallane-milesservicedwithinthecommunity.-Minimizethemaximumcustomerwaittimeduringpeakdemandperiods.-Minimumoverlapinservices.PossibleConstraints-AllresidentsmustlivewithinNblocksofatransitstop.-NoresidentmusthavetowaitmorethanMminutesforabusduringpeakperiods.-Importantroutesmustoverlapatkeytransferpoints.-Driversmustbeavailabletostaffallscheduledroutes.-Maintenancefundsmaybelimited.2-6SolutionPossibleConstraints-StudentslivingmorethanNmilesfromschoolmustbebussed.-NotmorethanMbusesareavailabletotheschooldistrict.-Classrooms(gradelevels)mustbebalancedineachschoolremainingopen.-Culturaldiversitymustbepreservedinschoolsremainingopen.PossibleObjectives-Maximizestudentsafety(minimizetotalwalkingdistancealonghazardousstreets).-Minimizetotalstudent-milestraveled.-Minimizethemaximumdistancetraveledbythestudenttravelingthefurthest.PossibleDataNeeds-Locationofeachschool.-Locationofeachstudentorstudentsbyblockgroup.-Gradeandculturaldistributionbyblockgroup.-Distancetraveled(busorwalking)byeachstudentorstudentgroup.-Configurationofthecommunitytransportationnetwork.-Long-termdemographictrenddate.2-4
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Solution Manual For Civil And Environmental Systems Engineering, 2nd Edition - Page 12 preview image2-7SolutionPossibleConstraints~~-Landavailableforpurchaseorleaseislimited(possiblezoningrestrictions,etc.).-Totalvolumeofgeneratedwastenowandinthefuturemustbeaccommodated.-Costconsiderationsmayberestrictive.-Equityconsiderationsamongusergroupsmaybeimportant.PossibleObjectives-Maximizeequityinqualityofserviceanddistributionofcosts.-Maximizeimpactonoveralleconomicwell-beingofthecommunity.-Minimizecostofcollection,treatment,ordisposal(possiblyseparatecosts).-Minimizeenvironmentalimpact(includingnuisanceimpacts).PossibleDataNeeds~~-Locationofavailablelandforpurchaseorlease.-Costsforcollection,transport,treatment,etc.byeachalternativeconsidered.-Demographictrendswithinthecommunity.2-5Study
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Solution Manual For Civil And Environmental Systems Engineering, 2nd Edition - Page 13 preview imageChapter3HOMEWORKSOLUTIONS3-1SolutionFeasibleRegioninDecisionSpaceOptimalsolutionisaunique.,optima:Z'=84{x=4,x=2}ss54543sX;4B«Nfre."294SnJsh0KNOR>.K05FG1[].oc12345878x,®OptimalSolution©FeasibleextremepointsInfeasibleextremepoints3-2SolutionFeasibleRegioninDecisionSpaceThisproblemisinfeasiblepoG76;K5LcXx,Nch0NH321AFD0o123a5s&718x,Nofeasiblesolution!Infeasibleextremepoints3-1Study
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Solution Manual For Civil And Environmental Systems Engineering, 2nd Edition - Page 14 preview image3-3SolutionFeasibleRegioninDecisionSpaceThisproblemhasauniqueoptimalLsolution:7Z=-28{x=4,x=2}..P°3FStudentsmightconsiderhowthis!problemanditssolutioncompare:withProblem3-1.4Xx,2,48<C208.LE0K1©,Jo<G°1co123a45s&718x®OptimalSolution©FeasibleextremepointsInfeasibleextremepoints3-4SolutionFeasibleRegioninDecisionSpaceThisproblemhasaunique«optimalsolution:‘@Z'=1{x,=0,x,=1}as325BxX,2@©15JXv)OFuTN[302:GH0LJ012345678xOptimalSolution©FeasibleextremepointsInfeasibleextremepoints3-2Study
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Solution Manual For Civil And Environmental Systems Engineering, 2nd Edition - Page 15 preview image3-5SolutionFeasibleRegioninDecisionSpaceThisproblemhasauniqueoptimal.solution:7RZ'=236{x,=32,x,=1.8}PY.SESN4015ryof5%ACOHNXB3>N/2yoF>1oF!Ko123a45s678x,®OptimalSolution©FeasibleextremepointsInfeasibleextremepoints3-6SolutionFeasibleRegioninDecisionSpace8Thisproblemisinfeasible.Itisalso,unfortunately,notaveryinterestingproblemduetopoorchoiceofYesRrsJcoefficients.-5MXFe:32!N10hHDFoc123a5&78xX,Nofeasiblesolution!Infeasibleextremepoints3-3Study
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Solution Manual For Civil And Environmental Systems Engineering, 2nd Edition - Page 16 preview image3-7SolutionFeasibleRegioninDecisionSpaceThisproblemisunbounded.This5iproblemusesthesameconstraintsetreasProblem3-8,thoughthatproblemCKhasalternateoptimalsolutions.ss]3axX25\23&15OVEghN'05V0EB012345678xUnboundedproblem!©FeasibleextremepointsInfeasibleextremepoints3-8SolutionFeasibleRegioninDecisionSpaceThisproblemhasalternateoptimal.Msolutions:Z*=16alongtheline&segmentbetween(1.25,1.5)and(1,Ae2).Theconstraintsetforthisho”problemisidenticaltothatofodptProblem3-7,yetthisproblemhasagsioptimalsolutionwhileProblem3-7*2|#isunbounded.150&oPN10sQocEBM0123458578XxX,=OptimalSolution©FeasibleextremepointsInfeasibleextremepoints3-4Study
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