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    MAULITA KHAZINI1132003043

    Paper 1

    Optimasi Pola Operasi Waduk Pelaparado

    Di Kabupaten Bima, Propinsi NTB

    Paper 2

    Optimasi Pemanfaatan Sumber Daya Air Pada Daerah Aliran Sungai

     AN!KOK 

    Paper 3

    "etode "emperkirakan Debit Air yang "asuk ke Waduk

    dengan "etode Stokastik #hain "arko$

    %#ontoh Kasus& Pengoperasian Waduk Air Saguling'

    Teknik Indutsri

    Fakultas Teknik dan Ilmu KmputerUni!ersitas "akrie

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    I# Intrdu$e

     The need for (ater resour)es )ontinuously in)reased both intended for

    irrigation, publi) utilities and residential, industrial de$elopment, po(er

    generation, *sheries, transportation, tourism and other purposes+

    Due to the )hangeunlike the gro(ing number of (ater a day, many

    )ities )onsider it ne)essary to hold a reser$oir in the (ater supply system+

    #onstru)tion of reser$oirs being targeted re)all is an urgent need to maintain

    the a$ailability of ra( (ater as (ell as a (ater reser$oir during the rainy

    season %to pre$ent -ooding'+ Apart from that reser$oir has the fun)tion of 

    irrigation (ater supply ri)e and a.ua)ulture in the lo)al en$ironment+ A

    reser$oir may also be used to hold e/)ess (ater during periods of high -o(

    for use during periods of drought+

    Positi$e and negati$e impa)ts )aused is appropriate to the fun)tion of 

    the reser$oir, (hile the negati$e impa)t and the problems of the most

    prominent is the resettlement of the population from the area -ooded,

    pro$ision of employment, loss of land, forests, plantations, and other

    resour)es, in)luding -ora, fauna and the impa)t Other ad$erse e)ologi)al (ill

    only be felt in the long term+

    Based on this, it is ne)essary to ha$e a study to address issues

    regarding the management of (ater resour)es in an optimal and integrated

    reser$oir, to support an e0e)ti$e management program to ensure optimum

    utili1ation and sustainable (ithout limiting the in)rease in the (elfare of the

    surrounding )ommunity+

    2arious methods are used to impro$e the utili1ation of (ater, one of 

    (hi)h is the optimi1ation te)hni.ues+ Optimi1ation te)hni.ue is a method to

    pro$ide the best desired results is based on a mathemati)al fun)tion (ith

    )ertain limitations so many optimi1ation te)hni.ues pro$ide menfaat in

    making de)isions and )an be applied in $arious *elds of s)ien)e+

    Pelaparado reser$oir lo)ated in the $illage of Pela, Distri)t "onta, Bima,

    West Nusa Tenggara Pro$in)e, lo)ated about 34 km South dire)tion Bima #ity+

    Pelaparado reser$oir has a )at)hment e0e)ti$ely 56+6 million m7 (ith a

    height of 85+6 m+ 9n general, the physi)al )ondition of the reser$oir

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    Pelaparado relati$ely good and (ell maintained, but (ith the $olume of the

    storage reser$oirs are e0e)ti$ely limited that 56+6 million m7 (hi)h is

    e/pe)ted to be su:)ient for an area of 7,453 ha of irrigation (ater+ 9n addition

    to irrigate the irrigation area, today reser$oir Pelaparado also be used topro$ide )lean (ater to the Distri)t "onta, WO;A and Belo permissible

    )apa)ity of 6< liters = se)+ Therefore it is ne)essary for the operation of the

    reser$oir Pelaparado pattern so that the e/penditure of (ater for irrigation

    )an be ad>usted optimally+

     udging from the identi*)ation of the symptoms of the problem, the

    resear)h (ill apply dynami) programming method to sol$e the problems+

    A))ording ?+;ilier and @ieberman %53' dynami) programming is a

    mathemati)al te)hni.ue that is used for de)ision making that )onsists of many stages %multistage'+ 9n other (ords, initially dynami) program di$ides

    the original problem into subproblems and then determine the optimal

    solution to the original problem sol$ing re)ursi$e subsubproblems+

     This is in a))ordan)e (ith the optimi1ation problem be)ause the dam

    reser$oir operation pattern depends on the time that it needs )ompletion in

    stages+ /)ess Dynami) programming method )ompared (ith other methods

    of optimi1ation is to ha$e more than one series of de)isions+ @imitations using

    Operations Cesear)h is if an organi1ation has a goal to the )ontrary (ouldresult in suboptimum %)onditions that are not able to help the organi1ation

    a)hie$e the best simultaneously' and nonlinear relationships are lineari1ed to

    be ad>usted by the linear program )an disrupt the suggested solutions+

    II# %is$ussin

    nderstanding optimi1ation is )losely related to the ma/imi1ation, but

    (ith restri)tions %)onstraints'+ Optimi1e synonymous (ith ma/imi1ing the

    limited resour)es+ Optimi1ation problems in the management of (aterresour)es more often nonlinear+ One method to sol$e it is to use Dynami)

    Program %Dynami) Programming'+ The elements of the model is a dynami)

    program %@imantara, @", and Soetopo, W+ E

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    7+ State $ariable %Sn'

    3+ Stage return %rn'

    6+ Stage transformation or state transition %tn'

    While the operational )hara)teristi)s of dynami) program )an bedes)ribed as follo(s %@imantara, @", and Soetopo, W+ E

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    N?C G %T J Pd J P L 9' Ce0 +++ %5'

    Where&

    N?C G irrigation (ater re.uirement %mm = day'

    T G (ater re.uirements for )rops %mm = day'Pd G (ater re.uirements for land preparation %mm = day'

    PL9 G deep per)olation and in*ltration %mm = day'

    Ce0 G e0e)ti$e pre)ipitation %mm = day

    'ater needs (r Plants

    #rop (ater re.uirement is formulated as follo(s %Suhard>ono, 53& 57'&

    #u G )+ to +++ %E'

    #u G )onsumpti$e use %)onsumpti$e use' or )an also be e/pressed (ith T

    %e$apotranspiration' %mm = day'# G )oe:)ient of plants

    to G potential e$apotranspiration %mm = day'

    )!aptranspirasi ptensial

    mpiri)al e.uations in the )al)ulation of modi*ed Penman potential

    e$aporation method is as follo(s&

    in this )ase,

    T< G potential e$aporation %mm = day'

    # G An ad>ustment fa)tor of day and night )onditions %*gure )orre)tion'+

    W G fa)tor depending on the mean temperature %temperature' and

    altitude %ele$ation'+

    Cn G Amount of net radiation %mm = day'

    G

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    n G a$erage duration of the sun is a)tually %mm = day'

    N G the length of sunlight possible ma/imum %mm = day'

    Cn5 G net long(a$e radiation %mm = day'

    G f%t' + f%ed' + f%n=N'f%t' G un)tion of the temperature of the table the relationship bet(een

    temperature %T' (ith a $alue of f %t'

    f%ed' G fun)tion of the $apor pressure

    G

    f%n=N' G fun)tion of the brightness of the sun

    Gf%u' G fun)tion of a$erage (ind speed during the day at a height of E

    meters %m = se)'

    G

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    o G e$aporation of open (ater %5+5 / to' during the pro)ess of land

    preparation %mm =day'

    P G Per)olation

     T G period of land preparation %days'S G The need for (ater, for (ater saturation )oupled (ith a layer of 6<

    mm

    G Numbers e/ponent %e G E+547'

    Leadin& %e*it Anal+sis

    Debit mainstay %dependable -o(' is dis)harge planning that is e/pe)ted to be

    a$ailable for spe)i*) purposes %irrigation, drinking (ater, et)+' throughout the

    year (ith the risk of failure that has been taken into a))ount, so (hen setodds reliability of 4

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    ?rom the data n and d rain stations around the pro>e)t (ill be obtained

    by the follo(ing e.uation&

    d G a n J b %4'Where a and b are )onstants due to the relationship n %the number of 

    days of rain' and d %the amount of dry surfa)e'+ Substitution of 

    e.uation %8' and %', is obtained&r=p G m=7< + %a+n J b' %'

    b+ Water balan)e in the surfa)e soil

    Soil (ater balan)e is a0e)ted by the amount of (ater that goes into the

    ground and soil )onditions itself+ The data re.uired are& P t, is the )hange of the (ater going into the ground+ Soil storage, is the )hange in the $olume of (ater retained by the

    soil that depends on %PT', soil storage the pre$ious month+ Soil "oisture, is the $olume of (ater to moisten the soil (hi)h

    depends %Pt', soil storage, and soil moisture pre)eding month+ The )apa)ity of soil moisture, is the $olume of (ater re.uired to

    rea)h the soil moisture )apa)ity+ Water Surplus, is the $olume of (ater that (ill enter the soil surfa)e,

    the (ater surplus G %Pt' soil storage, and < if %Pt' Qsoil storage+)+ !round Water Storage

     The $alue of run o0 and ground (ater amount depends on the balan)e of

    (ater and soil )onditions+ The data re.uired are& #oe:)ient of in*ltration G 9 ?a)tors re)ession ground(ater -o( G k 9nitial storage, the $olume of ground (ater is a$ailable at the

    beginning of the )al)ulation+ The e.uation used as follo(s&

    9n G Water Surplus / 9 %5

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    d+ Ci$er -o(

     The fa)tors that determine the amount of -o( of the ri$er is& 9nter-o( G 9n*ltration The $olume of ground(ater %mm' Dire)t Cun O0 G Water Surplus 9n*ltration %mm'

    Base ?lo( G -o( of the ri$er is al(ays there throughout the year%m7 = s'

    Cun O0 G 9nter-o( J Dire)t Cun O0 J Base ?lo( %m7 = s'

    On)e )omplete dis)harge data series, then the )al)ulation to determine

    the dis)harge mainstay+ 9n this study, the )al)ulation (as )ondu)ted

    using debit mainstay de)isi$e year %basi) year'+ The base year used in

    this study is that the debit has a reliability of 4

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    %5,E

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    Plant Net Bene*ts

    Net pro*t 9rrigation Water

    Produ)tion pro*ts on )hanges 9rrigation Water Pro$ision

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    @imit Pro$ision of 9rrigation Water

    9n this study the optimi1ation pro)ess is di$ided into 7 stages, at ea)h

    stage (ill be allo)ated a )ertain amount of (ater $olume+ 2ariables that

    )onne)ts the stage (ith another one is the )hange in the storage reser$oir

    before and after a stage (ith a grid of 5

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    path (ill be obtained in the form of allo)ation of the storage reser$oir )auses

    the ma/imum bene*t agri)ultural produ)tion+tili1ation of Water Ceser$oir Optimi1ation Cesults

     The o$erall results of the dynami) program, if )arried through (ill get a

    tra)king optimal path of ea)h gro(ing season+ The resulting optimal path is

    the $olume of (ater reser$oirs at the beginning and end of the planting

    should be full in the amount of 56,6

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    reser$oirs Cesour)es 9n

     The Watershed

    management

    of a reser$oir

    and utili1ing

    e/)essdis)harge

    7+ Approa)h%es'=algorithm

    a

    Dynami)

    Programming

    Program @inear Stokastik

    #hain "arko$3+ Assumptions the pattern

    of reser$oir

    operation

    depends on

    the time so

    need a

    gradual

    settlement

    Optimi1ation is

    done taking

    into a))ount

    the prin)iple of 

    balan)e and

    fairness

    need to be

    made a

    model to

    estimate the

    in-o(

    dis)harge

    6+ Cesults = *ndings The o$erall

    results of the

    dynami)

    program, if  

     Tra)king is

    done behind

    (ill get on

    line

    optimal at

    ea)h planting

    season+

    Distribution of 

    irrigation (ater

    demand is

    proportional to

    the $ast

    potential

    irrigation areas

    on ea)h

    (eir+

    Operating

    Saguling (ith

    Dynami)

    optimi1ation

    model

    Bellman

     The safest is

    the use of  

    the route

    Optimal

    reser$oir

    $olumes in

    e/treme dry

    )onditions

    be)ause by

    using this

    route )an

    o$er)oming

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    the )ondition

    of reser$oirs

    in )riti)al

    )ondition+8+ ad$antages ha$e more

    than one set

    of results

    "any $ariables

    that )an use a

    $ariety of  

    possibilities for

    obtaining

    optimal

    resour)e

    utili1ation )an

    be a)hie$ed+

    ?le/ible

    ob>e)ti$e

    fun)tion )an

    be in

    a))ordan)e

    (ith the

    purpose of 

    resear)h or

    based on

    a$ailable data+

    "arko$

    models are

    relati$ely

    easy to

    deri$e %or

    infer' from

    su))essional

    data+

    + disad$antages (ill result in

    )ost and time

    ine:)ien)ies

    does not

    ha$e a form

    of 

    mathemati)a

    l formulation

    !ood to be

     This method

    )an only be

    used for the

    purposes for

    e/ample, only

    for pro*t

    ma/imi1ation

    or )ost

    minimi1ation

    Departure

    from the

    simple

    assumptions

    of stationary,

    *rstorder

    "arko$

    )hains (hile,

    )on)eptually

    possible,

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    used

    )onsistently,

    so that

    )al)ulationsfor

    produ)e

    optimal

    de)isions are

    limited to

    )onditions

    )ertain

    makes for

    disproportion

    ate degrees

    of di:)ulty inanalysis and

    )omputation+

    /# -n$lusins and re$mmendatinsSo the )on)lusion from $arious test results using the method of 

    dynami) programming, linear programming, and sto)hasti) "arko$ )hain

    obtained a )on)lusion that in order to optimi1e the use of (ater resour)es is

    to use dynami) program %Dynami) Program'+ Dynami) program )an mimi) the

    beha$ior of the system and )an be used to make a de)ision on a series of 

    related de)isions+ This is $ery appropriate be)ause the pattern of the

    operation depends on the time that it needs )ompletion in stages+

    /I# "i*li&rap+Budianto, "uh+ Bagus Setia(an ,Agung Suroso, Agus+ Optimasi Pemanfaatan

    Sumber Daya Air  ______ Pada Daerah Aliran Sungai Jangko. "ataram&

    ni$ersitas "ataram+

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    ;ilmi,"oh "asre$aniah Aniek Soetopo ,Widandi+ Optimasi Pola Operasi

    Waduk Pelaparado  ______ Di Kabupaten Bima Propinsi !"B+ "alang&

    ni$ersitas Bra(i>aya+Nuraeni, eni + #etode #emperkirakan Debit Air yang #asuk ke Waduk 

    dengan #etode ______ Stokastik $hain #arko% &$ontoh Kasus' Pengoperasian

    Waduk Air Saguling. akarta UUUUUU Selatan&  ni$ersitas Paramadinahttps&==id+(ikipedia+org=(iki=Waduk  diakses pada E3 No$ember E