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

Preview (16 of 247 Pages)

100%

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

Loading page ...

Contents1EXPLAININGSYSTEMSANALYSIS1-12MODELSINCIVILANDENVIRONMENTALENGINEERING2-13AGRAPHICALSOLUTIONPROCEDUREANDFURTHEREXAMPLES3-14THESIMPLEXALGORITHMFORSOLVINGLINEARPROGRAMS4-15LINEARPROGRAMSWITHMULTIPLEOBJECTIVES5-16LINEARPROGRAMMINGMODELSOFNETWORKFLOW6-17INTEGERPROGRAMMINGANDITSAPPLICATIONS7-18SCHEDULINGMODELS:CRITICALPATHMETHOD8-19DECISIONTHEORY9-110LESSONSINCONTEXT:SIMULATIONANDTHESTATISTICSOFPREDICTION10-111LESSONSINCONTEXT:AMULTIGOALWATERRESOURCESPROBLEMUTILIZINGMULTIPLETECHNIQUES11-112LESSONSINCONTEXT:TRANSPORTATIONSYSTEMS12-113DYNAMICPROGRAMMINGANDNONLINEARPROGRAMMING13-114ENGINEERINGECONOMICSI:INTERESTANDEQUIVALENCE14-115ENGINEERINGECONOMICSII:CHOICEBETWEENALTERNATIVES15-116ENGINEERINGECONOMICSIII:DEPRECIATION,TAXES,INFLATION,ANDPERSONALFINANCIALPLANNING16-1

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

Loading page ...

DownloadedfromStudyXY.com®+StudyXYSdYe.o>\|iF’prE\3SStudyAnythingThisContentHasbeenPostedOnStudyXY.comassupplementarylearningmaterial.StudyXYdoesnotendroseanyuniversity,collegeorpublisher.Allmaterialspostedareundertheliabilityofthecontributors.wv8)www.studyxy.com

Solution Manual For Civil And Environmental Systems Engineering, 2nd Edition - Page 3 preview image

Loading page ...

Chapter1HOMEWORKSOLUTIONS1-1Solution(a)Decisionvariables:AmountofsulfurdioxidetoremoveateachpowerplantintheMidwest(poundspertimeperiod).(b)Parameters:1.Amountofuntreatedsulfurdioxideemittedbyeachpowerplant—priortoremoval.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

Solution Manual For Civil And Environmental Systems Engineering, 2nd Edition - Page 4 preview image

Loading page ...

(d)Constraints:1.Requiredflowisdelivered.2.Requiredheadisdelivered.1-3Solution(a)Decisionvariables:Numberoftollboothstobeinstalledattheexit.(b)Parameters:1.Limitonaverage(acrossalllanes)numberofcarsinline.2.Lengthoftherushhourperiod.3.Thenumberofarrivalsatthetollexitduringeachtwo-minutessegmentoftherushhour.4.Servicetimepercar—orcarsthatcanbeservicedbyoneboothduringeachandeverytwo-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

Solution Manual For Civil And Environmental Systems Engineering, 2nd Edition - Page 5 preview image

Loading page ...

8.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:.Maximizeprofit—whichisthesumoverallclassesofconcreteoftheproductsofpriceandtheamountofconcreteineachclass.(d)Constraints:1.Percentagesbyweightofcement,sand,andgravelineachclassofconcretearewithinallowablerange.2.Amountsusedofcement,sand,andgravelarelessthanamountsavailable.3.Amountsofeachclassofconcretesoldarelessthangivenlimits.1-3Study

Solution Manual For Civil And Environmental Systems Engineering, 2nd Edition - Page 6 preview image

Loading page ...

1-6Solution(a)Decisionvariable:Datesonwhichactivitieswilltakeplaceoneachproject.(b)Parameters:1.Numberofteamsofworkersofeachskillcategoryavailabletothefirm.2.Numberofunitsofequipmentofeachcategoryavailabletothefirm.3.Promisedcompletiondatesofeachproject.4.Resourcesintermsofteamsofworkersandequipmentneededforeachactivityoneachproject.5.Costoftemporaryworkersandrentalequipment.6.Paymentforcompletingeachproject—notreallyneeded,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

Solution Manual For Civil And Environmental Systems Engineering, 2nd Edition - Page 7 preview image

Loading page ...

(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

Solution Manual For Civil And Environmental Systems Engineering, 2nd Edition - Page 8 preview image

Loading page ...

Chapter2HOMEWORKSOLUTIONSTheproblemsinthischapterareintendedtofacilitatediscussioninaverygeneralsenseaboutmodeling,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

Solution Manual For Civil And Environmental Systems Engineering, 2nd Edition - Page 9 preview image

Loading page ...

2-2SolutionSchedulingofclassroomsisdifferentatdifferentuniversities.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

Solution Manual For Civil And Environmental Systems Engineering, 2nd Edition - Page 10 preview image

Loading page ...

3.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

Solution Manual For Civil And Environmental Systems Engineering, 2nd Edition - Page 11 preview image

Loading page ...

2-5SolutionPossibleObjective-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

Solution Manual For Civil And Environmental Systems Engineering, 2nd Edition - Page 12 preview image

Loading page ...

2-7SolutionPossibleConstraints~~-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

Solution Manual For Civil And Environmental Systems Engineering, 2nd Edition - Page 13 preview image

Loading page ...

Chapter3HOMEWORKSOLUTIONS3-1SolutionFeasibleRegioninDecisionSpaceOptimalsolutionisaunique.,optima:Z'=84{x=4,x=2}ss54543sX;4B«Nfre."294SnJsh0KNOR>.K05FG1[].oc12345878x,®OptimalSolution©FeasibleextremepointsInfeasibleextremepoints3-2SolutionFeasibleRegioninDecisionSpaceThisproblemisinfeasiblepoG76;K5LcXx,Nch0NH321AFD0o123a5s&718x,Nofeasiblesolution!Infeasibleextremepoints3-1Study

Solution Manual For Civil And Environmental Systems Engineering, 2nd Edition - Page 14 preview image

Loading page ...

3-3SolutionFeasibleRegioninDecisionSpaceThisproblemhasauniqueoptimalLsolution: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:GH0LJ012345678x@®OptimalSolution©FeasibleextremepointsInfeasibleextremepoints3-2Study

Solution Manual For Civil And Environmental Systems Engineering, 2nd Edition - Page 15 preview image

Loading page ...

3-5SolutionFeasibleRegioninDecisionSpaceThisproblemhasauniqueoptimal.solution:7RZ'=236{x,=32,x,=1.8}PY.SESN4015ryof5%ACOHNXB3>N/2yoF>1oF!Ko123a45s678x,®OptimalSolution©FeasibleextremepointsInfeasibleextremepoints3-6SolutionFeasibleRegioninDecisionSpace8Thisproblemisinfeasible.Itisalso,unfortunately,notaveryinteresting’problemduetopoorchoiceofYesRrsJcoefficients.-5MXFe:32!N10hHDFoc123a5&78xX,Nofeasiblesolution!Infeasibleextremepoints3-3Study

Solution Manual For Civil And Environmental Systems Engineering, 2nd Edition - Page 16 preview image

Loading page ...

3-7SolutionFeasibleRegioninDecisionSpaceThisproblemisunbounded.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

Preview Mode

This document has 247 pages. Sign in to access the full document!

Report

Study Now!

Document Details

Related Documents

Elementary Surveying: An Introduction to Geomatics, 15th Edition Solution Manual

Solution Manual for Reliability Engineering, 1st Edition

Solution Manual For Elementary Surveying: An Introduction To Geomatics, 13th Edition

Solution Manual For Dynamics of Structures, 4th Edition

Structural Analysis, 10th Edition Solution Manual

Solution Manual For Structural Analysis, 8th Edition

Dynamics of Structures, 5th Edition Solution Manual

Solution Manual for Design Concepts for Engineers, 5th Edition

Solution Manual For Introduction To Geotechnical Engineering, An, 2nd Edition

Solution Manual For Steel Structures: Design And Behavior, 5th Edition

Company

Explore

Study Tools