Hybridization of Ant Colony Optimization Strategies in Tabu Search for Solving Job Shop Scheduling...

8/3/2019 Hybridization of Ant Colony Optimization Strategies in Tabu Search for Solving Job Shop Scheduling Problems

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2/17

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3/17

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4/17


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5/17


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6/17


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1/5/ Moq bkdkos kzqcnc|mqcko

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qk qgh mnkxoq k` zghuknkoh ko qgmq zmqg/

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es mo moq cr bmdbxdmqha mr fcpho co qgh h}xmqcko '5#/

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lR

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l/ 'l# cr qgh cophurh k` qgh kzhumqcko qcnh k` qgh okah l/ moa qxoh qgh uhdmqcph

cnzkuqmobh co zukemecdcqs k` qgh mnkxoq k` qgh zghuknkoh phurxr qgh kzhumqcko qcnh/


7/17


Fdkemd xzamqcof uxdh< Fdkemd xzamqcof cr coqhoaha qk uhvmua hafhr ehdkofcof qkqgh rgkuqhrq zmqg/ Kobh mdd qgh moqr gmph muucpha mq qghcu ahrqcomqcko$ qgh mnkxoq k`zghuknkoh ko qgh hafh 'c$ l# ehdkofcof qk qgh rgkuqhrq zmqg mq m qcnh q cr nkacha esmzzdscof qgh fdkemd xzamqcof uxdh fcpho co qgh h}xmqcko '2#/

'c$ l#q > 'c$ l#q= ) '= # }+Di/ '2#

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8/ Qmex Rhmubg vcqg Moq Bkdkos Kzqcnc|mqcko Rqumqhfchr

8/=/ Asomncb qmex dhofqg

Qgh qmex dhofqg cr bgmofha axucof qgh rkdxqcko bkorquxbqcko zgmrh qk cobuhmrh qgh

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x > x ) =HoaC`

HoaVgcdhHoaC`

Hoa


8/17

=7: Coqhuomqckomd Lkxuomd k` Co`kunmqcko moa Nmomfhnhoq Rbchobhr$ Pkd/ 5:$ Ok/ 5$ Lxoh$ 5::3

@cfxuh 5/ Cddxrqumqcko k` qgh asomncb qmex dhofqg/

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umofh > NMWBS BOK+'5n# '8#

a= > umofh+'n ) o# '0#

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8/5/ Bkorquxbqcof rkdxqcko

Qgh cocqcmd rkdxqcko Rcr bkorquxbqha xrcof qgh rgkuqhrq zukbhrrcof qcnh 'RZQ# zuckucqsuxdh/ Qgh cocqcmd rkdxqcko cr cnzukpha es qgh zukzkrha nhqgka vcqg ohv ohcfgekugkka

rqumqhfs xrcof qgh MBK nhqgka moa qgh asomncb qmex dhofqg rqumqhfs fcpho co Rhbqcko8/=/ Dhq nmw moa nco eh nmwcnxn moa ncocnxn zghuknkoh dhphd ehqvhho qgh qvkkzhumqckor k` m ohcfgeku/ Dhq `'R# eh qgh nmihrzmo pmdxh `ku qgh cocqcmd rkdxqcko R/Qgh pmdxhr k` nmw moa nco muh bmdbxdmqha mr co qgh h}xmqckor '7# moa '3# uhrzhbqcphds

moa qghrh pmdxhr muh xrha qk bkoqukd qgh dhphd k` qgh zghuknkoh pmdxh ehqvhho qgh qvkkzhumqckor co qgh ohcfgeku/

nmw > `'R#+=: '7#


9/17

Gseucac|mqcko k` Moq Bkdkos Kzqcnc|mqcko Rqumqhfchr co Qmex Rhmubg =7=

nco > nmw+5: '3#

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: kqghuvcrh

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kzhumqckor c moa l/ 'c# moa 'l# muh qgh qcnh k` qgh kzhumqckor c moa l uhrzhbqcphds/

moa uhzuhrhoq qgh uhdmqcph cnzkuqmoq k` qgh zghuknkoh moa qgh hwzuhrrcko pmdxh

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nkuh bgmobh qk bgmofh qgh kzhumqckor k` qgcr ohcfgeku moa qgcr nhqgka }xcbids cnzukphr

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kzhumqcko qgmo qgh dmufhu kzhumqcko co m nmbgcoh/ Co mo cqhumqcko$ qgh zghuknkoh pmdxhr

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`ku qgh ohcfgeku bxuuhoqds maaha qk qgh qmex cr mfmco xzamqha es qgh fdkemd zghuknkoh

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'c$ l#q > 'c$ l#q= ) '= # }+`'R

# '=5#

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nmw cr mrrcfoha qk qgh zghuknkoh rk mr qk cobuhmrh qgh hwzdkumqcko k` qgh rhmubg rzmbh/

Co zxuh QR$ qgh zmrq bkoqcoxkxr zhu`kunmobh k` qgh rkdxqcko `ku m ohcfgeku `ukn qgh

rqmuq k` qgh rkdxqcko bkorquxbqcko cr okq mpmcdmedh/ Exq co GMBKRQR$ qgcr zhu`kunmobh

cr mpmcdmedh es nhmor k` qgh zghuknkoh dhphd ehqvhho qgh kzhumqckor k` qgh ohcfgeku/

Qgh zrhxak bkah `ku qgh zukzkrha mdfkucqgn BkorquxbqRkdxqcko' #$ vgcbg xrhr qgh MBKrqumqhfs moa qgh ohv qmex asomncb qmex dhofqg rqumqhfs qk rhdhbq qgh ehrq ohcfgeku$ cr

fcpho/ Qgh achuhoq zmumnhqhur muh fcpho `ku qgh mdfkucqgn/ NMWBSBOK uhzuhrhoqr

qgh qkqmd oxnehu k` cqhumqckor/ NMWQ uhzuhrhoqr qgh nmwcnxn oxnehu k` qcnhr `ku

vgcbg qgh cnzukphnhoq cr okq nmah axucof qgh bkorquxbqcko k` qgh rkdxqcko/ Qgh dhofqg

k` qgh qmex dcrq cr asomncbmdds bgmofha es xrcof qgh zukbhaxuh AQmex' # mbbkuacof qk

qgh bxuuhoq cqhumqcko oxnehu/ C` qgh rhdhbqha ohcfgeku rc ': 4 c 4 i# cr okq co qgh qmex


10/17


ku qgh mrzcumqcko bucqhucko cr nhq$ qgh ohcfgeku rc cr maaha qk qgh qmex/ Qgh mrzcumqcko

bucqhucko cr xrha qk bghbi qgh bkoacqcko `'R# 4 `'R#/ `'R# cr qgh nmihrzmo k` qgh

ohcfgekugkka rkdxqcko R zukaxbha es qgh mzzdcbmqcko k` qgh ohcfgeku rc vgcbg cr mduhmas

co qgh qmex moa `'R# cr qgh bxuuhoq ehrq iokvo rkdxqcko/ C` qgh ohcfgeku bmo okq eh

maaha qk qgh qmex$ qgh qmex dcrq cr bdhmuha moa qgh qmex uhrqucbqckor muh uhnkpha/ Qgcrzukbhrr cr uhzhmqha xoqcd m qhuncomqcko bucqhucko cr nhq/ Qgh qhuncomqcko bucqhucko cr

hcqghu uhmbgcof qgh nmwcnxn cqhumqckor ku ok cnzukphnhoqr k` qgh bkorquxbqha rkdxqcko

`ku qgh NMWQ oxnehu k` cqhumqckor/

Mdfkucqgn< BkorquxbqRkdxqcko' #

Rqhz =< ++Cocqcmdc|mqcko ++

B S B O K > :$ Q Z > :$ Q > :$ u > =$ x > =$ Cocqcmdc|h NMWBSBOK$ NMWQ

umofh > NMWBS BOK+'5n#$ a= > umofh+'n)o#$ a5 > 'a= ) 5n#+'n)o#

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nco > nmw+5:/Mrrcfo nco qk mdd qgh hafhr co qgh fumzg A/

Rqhz 5< ++@coacof qmex dhofqg `ku qgh bxuuhoq cqhumqcko++

Bmdd AQmex' # ++ Qk bmdbxdmqh qgh qmex dhofqg pmdxh

C` Q Z ? Q D Qgho

Q Z > :

HoaC`

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Maa cqg ohcfgeku qk qgh qmex co qgh zkrcqcko Q Z$ Fk qk Rqhz 6

HoaC`

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l > :

@ku c > : qk i ak

C` 'rqmuqYc^$ hoaYc^# okq co qmex

Maa 'rqmuqYc^$ hoaYc^# qk O'R#$ l > l ) =

HoaC`

Hoa@ku

C` l > : Qgho

l > i$ Bdhmu qmexdcrqHoaC`

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qk O'R#++

@ku c > : qk l ak

Mzzds 'rqmuqYc^$ hoaYc^# qk qgh rkdxqcko R qk fhohumqh R

'rqmuqYc^$hoaYc^# > '= #/'rqmuqYc^$hoaYc^# ) /nco+`'R#


11/17


++Dkbmd zghuknkoh xzamqcof

C` 'rqmuqYc^$hoaYc^# ? nmw Qgho

'rqmuqYc^$hoaYc^# > 'nmw ) nco#+5

HoaC`

Hoa@ku

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Bgkkrh m ohcfgeku 'rqmuqYc^$hoaYc^# O'R# vcqg Nmoqh Bmudk ZukemecdcqsMaa 'rqmuqYc^$hoaYc^# qk qgh qmex co zkrcqcko Q Z moa mzzds cq ko Rqk fhohumqh R

'rqmuqYc^$hoaYc^# > 'rqmuqYc^$hoaYc^# ) '= #/}+`'R#++ Fdkemd zghuknkoh xzamqcof

Rqhz 6< ++@coa qgh bxuuhoq rkdxqcko++

Mzzds ohcfgeku ùkn qgh qmex co qgh zkrcqcko Q Z moa oa qgh bxuuhoq rkdxqcko R

C` `'R# 4 `'R# Qgho

R > R$ `'R# > `'R#$ Q > :

HoaC`B S B O K > B S B O K ) =$ Q > Q ) =$ Q Z > Q Z ) =

C` B S B O K ( umofh > : Qgho

u > u ) =$ x > =$ a5 > a5HoaC`

Rqhz 7< ++Qhuncomqcko bucqhucko++

C` BS BO K ? NMWBS BO K ku Q ? NMWQ Qgho

Fk qk Rqhz 3

Hdrh

Fk qk Rqhz 5

HoaC`

Rqhz 3< ++Kxqzxq qgh rkdxqcko++

Zucoq R moa `'R#$ Rqkz

0/ Hwzhucnhoqmd Uhrxdqr moa Acrbxrrcko

Co qgcr rhbqcko bknzxqmqckomd uhrxdqr muh fcpho `ku vhdd iokvo LRRZ corqmobhr vcqg

qgh cocqcmd qmex dhofqg mr n)o$ mr :/3$ mr :/6 moa mr :/::=/ Qgh zukzkrha GMBKRQR

cr bkaha co B)) zukfumnncof dmofxmfh ko Dcoxw zdmq`kun vcqg MNA Mqgdko 50::)$

5FG| moa 8=5 UMN/ Qmedh 5 rgkvr qgmq qgh kzqcnmd pmdxh keqmcoha ùkn GMBKRQR

muh bknzmuha vcqg qgh ehrq rkdxqckor zukpcaha es rknh mxqgkur ko achuhoq zukedhnr

rzhbcha co qgh bkdxno =/ Qgh Bkdxno 5 rgkvr qgh ehrq rkdxqcko `kxoa `ku hmbg zukedhn/Qgh Bkdxnor 2$ 1 moa 8 rzhbc`s qgh uhrxdqr ùkn QRRE es @huacomoak Zh||hddm hq md/

'5:::# Y0^$ Qmex.Gseuca es Bmdahcum hq md/ '5::1# Y6^ moa c.QRME es Okvcbic hq md/

'5::8# Y7^ uhrzhbqcphds/ Qgh uhrxdqr k` qgh zukzkrha mdfkucqgn GMBKRQR muh fcpho co

qgh bkdxno 0/ Cq rgkvr qgmq GMBKRQR gmr rxbbhhaha co fhqqcof qgh ehrq rkdxqckor `ku

rknh zukedhnr moa mdrk co cnzukpcof qgh xzzhu ekxoa pmdxhr vgho bknzmuha vcqg kqghu

nhqgkar/


12/17


13/17


14/17


Qmedh 1/ Oxnehu k` cqhumqckor uh}xcuha qk uhmbg xzzhu ekxoa pmdxh `ku achuhoq pmdxhr `ku cocqcmddhofqg k` qgh qmex dcrq/

Zukedhn Cocqcmd qmex dhofqg `ku GMBKRQRCorqmobh 'o ) n 8# qk 'o ) n =# o ) n 'o ) n ) =# qk 'o ) n ) 8#

DM20 65:0 0306 6376DM26 725: 0253 7=63DM27 0012 8360 6=5:DM23 7308 6:=0 352:DM1: 8106 8360 0:=:ME\6 =5256 ===58 =5=5:ME\7 =1803 ==806 =2025ME\3 =2=:5 =5082 =5308

@cfxuh 2/ Bknzmucrko k` nmihrzmo Pr cqhumqckor/

acrlxobqcph fumzg/ Qgh zukzkrha gseuca mdfkucqgn gmr ehho xrha qk oa kxq qgh kzqcnmdnmbgcoh rh}xhobh mr `kddkvr

Date post:	06-Apr-2018
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