The Usage of the Railroad Terminal Resources

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    This article was downloaded by: [UST Library]On: 16 August 2015, At: 02:21Publisher: Taylor & FrancisInforma Ltd Registered in England and Wales Registered Number: 1072954 Registered office: 5 HowickPlace, London, SW1P 1WG

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    The usage of the railroad terminal resourcesAldona Jaraniene

    a

    aTransport Research Institute , Vilnius Gediminas Technical University , Plytines g. 27,

    Vilnius, LT10105, Lithuania E-mail:Published online: 27 Oct 2010.

    To cite this article:Aldona Jaraniene (2004) The usage of the railroad terminal resources, Transport, 19:3, 124-129

    To link to this article: http://dx.doi.org/10.1080/16484142.2004.9637964

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    124

    http:/www.vtu.lt/english/editions

    TRANSPORT

    2004, Vol XIX, No 2, 124

    129

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    125

    1M

    2M

    3M

    ( )sf tttft ...,,, 21=

    sttt ...,,, 21

    jt

    ( )Mmm ,...,1= comes into the terminal with different

    type of cargoes ( )Nnn ...,,1= . The main line rail trans-

    port is unloaded in various cargo fronts ( )Jjj ...,,1= , a

    lot of different unloading mechanisms ( )Ppp ...,,1=are used for the unloading process. Unloaded cargoes

    are stored or reloaded from the huge capacity main line

    rail transport to loads ( )Lll ...,,1= .

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    126

    ( )EVG , {}iV= { }jiE , ( )nji ...,1,; =

    ( )EVG ,

    ( )ji , ijt

    ijt

    ( )tV Tt ...,,1= ( ) ( )tVji , ( )tni ...,,1=

    ( )tE

    ( ) ( )tVti , ( ) ( )( ) ( )tEtiti ,,,

    1+= Tt

    ( ) ( )( )titi ,,, ( )tE 1=iit t 1+t

    kt+

    0=ijt itjtitjtxt itjtx ( )ti , ( )tj ,

    titititi xC titjx

    ( ) ( )( )titi ,,, We will mark the offer ita and demandjtb in the top iat time t. Following a transport problem

    dynamic way will be:

    +

    =

    itjtitjttVjttVit

    T

    t

    xC)()()()(1

    min

    = itjttitj

    tVtjtVit

    T

    t

    xC)()()()(1

    ....,,1

    );()(,)()(

    Tt

    tVjtbxxx jtjtjtjtjtitjttVit

    =

    =+

    =+)()(

    );()(,tVjt

    ittitiitititjt tVitaxxx

    ....,,1 Tt=

    ),()),(),,((,0,0 tEtjtixx itititjt

    )()),(),,(( tEtiti

    TttVitax ititjttVjt

    ,,1),()(,)()(

    ==

    ==

    =j

    jt

    T

    tiit

    T

    t

    ba11

    min0t

    min0

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    127

    f

    d

    dp

    p

    tt

    CC

    tt

    C

    +>

    + 0

    0

    pC 0C

    dC

    pt 0t

    ft

    dt

    p

    dpdf

    C

    ttCCtt

    )()(

    00

    min ++

    =

    ijktC

    ijktS

    ijktS

    pijkt

    S nijktS

    nijktpijktijkt SSS +=

    bpt

    at

    bt0

    0pt

    Maaa EEskEijkt CCCCCC

    ++++=

    aEC

    akC sC

    aEC

    MEC

    aavE

    TeC a = 365

    ave the price of one load usage hour; aT the reduc-

    tion of load idle time during 24 hours because of the

    optimal usage of the resources to load it.

    ap

    vk Ct

    AC a

    =

    vA Saved up time during 24 hours by every load;

    pt average work time duration in 24 hours; aC

    load price, Lt.

    ( )stts'esCs =

    se expenditures to save one tone of cargo in 24 hours,

    Lt; ss tt , storing time in existing conditions and sug-

    gested conditions by new technologies.

    DCGtC tsEa ,=

    g average amount of carried out cargo, tones; st in-

    equality-storing time between two terms; tC price ofone tone of cargo; index of the capital investmentsefficiency, equal to

    00 ;/1 pp tt dividend time.

    ZteC pcMEM 365=

    Me

    pct Z

    ( ) ( ) ( ) ( )11 +++=+ + tUBtUBtXtX

    2,0 = Tt

    ( ) ( ) ( )11 += + TUBTXTX

    ( ) 00 XX =

    ( ) ( ) ( ) ,, tftUtl

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    ( ) ( ) ,tgtX Tt ,1=

    ( )

    ( ) Tt

    tU

    tX,0,

    0

    0 =

    ( )tUXJ ,,0

    ( ) maxTXn

    ( )0...,0,,0 =X

    ( ) { }= 0,...,0,,Tg ( )tR

    ( ) ( )( )

    =

    =

    1

    0min,

    T

    ttUtR

    ( )0...,0,,0 xX =

    ( ) { }xTg 0,...,0,,0=

    ( ) ( )nTg = ...,,,,0 32

    xi0 = xi

    ( )t

    ( ) max,TXn

    ( ) ( )= ;; tftl ( )t

    ( )0...,0,,0 =X and

    ( ) ( )= ,0...,,0,Tg

    ( ) ( ) ( ) ( ) ( )+= ,,,,,,,, 21211 tftftftftf eeeee

    ( )tUe1 ( )tUe

    2 ( )tU1

    ( ) ( )( )tUtR 1, ( )tU2 ( ) ( )

    ( )tUtC 2,

    ( ) ( )( ) ( ) ( )( )[ ] max,,,1

    0

    12 =

    =

    T

    t

    tUtRtUtC

    ( ) ( ) ( )tUtUtU =+ 21

    ( ) ( )

    ( ) ( )1,0,

    ,0

    ,022

    11

    =

    Tt

    tftU

    tftU

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    129