PRODUCTION OPTIMIZATION FOR AGENTS OF DIFFERING WORK RATES

We devise schemes for producing, in the least possible time, p identical objects with n agents that work at differing speeds. This involves halting the process to transfer production across agent types. For the case of two types of agent, we construct schemes based on the Euclidean algorithm that se...

Full description

Saved in:
Bibliographic Details
Published in:The ANZIAM journal Vol. 66; no. 2; pp. 98 - 120
Main Author: HIGGINS, PETER M.
Format: Journal Article
Language:English
Published: Cambridge Cambridge University Press 01.04.2024
Subjects:
Algorithms
Bicycles
ISSN:1446-1811, 1446-8735
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Abstract We devise schemes for producing, in the least possible time, p identical objects with n agents that work at differing speeds. This involves halting the process to transfer production across agent types. For the case of two types of agent, we construct schemes based on the Euclidean algorithm that seeks to minimize the number of pauses in production.
AbstractList We devise schemes for producing, in the least possible time, p identical objects with n agents that work at differing speeds. This involves halting the process to transfer production across agent types. For the case of two types of agent, we construct schemes based on the Euclidean algorithm that seeks to minimize the number of pauses in production.
We devise schemes for producing, in the least possible time, p identical objects with n agents that work at differing speeds. This involves halting the process to transfer production across agent types. For the case of two types of agent, we construct schemes based on the Euclidean algorithm that seeks to minimize the number of pauses in production.
Author HIGGINS, PETER M.
Author_xml – sequence: 1
  givenname: PETER M.
  orcidid: 0000-0002-1198-2578
  surname: HIGGINS
  fullname: HIGGINS, PETER M.
BookMark eNplUM1Og0AY3Jia2KIP4I3EM7rf7rIs3ggFJFa2ARoTL5uFLomNQoX20LcXbG-evp-ZzGRmgWZt1xqE7gE_AgbvqQDGOAgAwjDGwMgVmk8vR3jUnV32Cb9Bi2HYYcyoR8kcPa9zudyEZSozW67L9C39CP6OWOZ2kERZWdgytpdpHEd5miX2u8xf7Twoo-IWXTf6azB3l2mhTRyV4YuzkkkaBiunJlwcHI25rsElzNRQbYWngVaUGq6JK3wtONnSutHViBrsG62h0uCPrEbTGvuNoRZ6OOvu--7naIaD2nXHvh0tFQXOKTAxZrEQnFl13w1Dbxq17z-_dX9SgNVUkfpXEf0FOwZU0A
ContentType Journal Article
Copyright The Author(s), 2024. Published by Cambridge University Press on behalf of Australian Mathematical Publishing Association Inc. This work is licensed under the Creative Commons Attribution License This is an Open Access article, distributed under the terms of the Creative Commons Attribution licence (https://creativecommons.org/licenses/by/4.0), which permits unrestricted re-use, distribution and reproduction, provided the original article is properly cited. (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.
Copyright_xml – notice: The Author(s), 2024. Published by Cambridge University Press on behalf of Australian Mathematical Publishing Association Inc. This work is licensed under the Creative Commons Attribution License This is an Open Access article, distributed under the terms of the Creative Commons Attribution licence (https://creativecommons.org/licenses/by/4.0), which permits unrestricted re-use, distribution and reproduction, provided the original article is properly cited. (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.
DBID AAYXX
CITATION
3V.
7XB
88I
8FE
8FG
8FK
ABJCF
ABUWG
AFKRA
AZQEC
BENPR
BGLVJ
CCPQU
DWQXO
GNUQQ
HCIFZ
L6V
M2P
M7S
PHGZM
PHGZT
PKEHL
PQEST
PQGLB
PQQKQ
PQUKI
PRINS
PTHSS
Q9U
DOI 10.1017/S1446181124000142
DatabaseName CrossRef
ProQuest Central (Corporate)
ProQuest Central (purchase pre-March 2016)
Science Database (Alumni Edition)
ProQuest SciTech Collection
ProQuest Technology Collection
ProQuest Central (Alumni) (purchase pre-March 2016)
Materials Science & Engineering Collection
ProQuest Central (Alumni)
ProQuest Central UK/Ireland
ProQuest Central Essentials
ProQuest Central
Technology collection
ProQuest One
ProQuest Central
ProQuest Central Student
SciTech Premium Collection
ProQuest Engineering Collection
Science Database
Engineering Database
ProQuest Databases
ProQuest One Academic (New)
ProQuest One Academic Middle East (New)
ProQuest One Academic Eastern Edition (DO NOT USE)
One Applied & Life Sciences
ProQuest One Academic (retired)
ProQuest One Academic UKI Edition
ProQuest Central China
Engineering collection
ProQuest Central Basic
DatabaseTitle CrossRef
ProQuest Central Student
Technology Collection
ProQuest One Academic Middle East (New)
ProQuest Central Essentials
ProQuest Central (Alumni Edition)
SciTech Premium Collection
ProQuest One Community College
ProQuest Central China
ProQuest Central
ProQuest One Applied & Life Sciences
ProQuest Engineering Collection
ProQuest Central Korea
ProQuest Central (New)
Engineering Collection
Engineering Database
ProQuest Science Journals (Alumni Edition)
ProQuest Central Basic
ProQuest Science Journals
ProQuest One Academic Eastern Edition
ProQuest Technology Collection
ProQuest SciTech Collection
ProQuest One Academic UKI Edition
Materials Science & Engineering Collection
ProQuest One Academic
ProQuest Central (Alumni)
ProQuest One Academic (New)
DatabaseTitleList CrossRef
ProQuest Central Student
Database_xml – sequence: 1
  dbid: BENPR
  name: ProQuest Central
  url: https://www.proquest.com/central
  sourceTypes: Aggregation Database
DeliveryMethod fulltext_linktorsrc
Discipline Mathematics
EISSN 1446-8735
EndPage 120
ExternalDocumentID 10_1017_S1446181124000142
GroupedDBID --Z
-1D
-1F
-2P
-2V
-E.
-~6
-~N
-~X
.FH
09C
09E
0E1
0R~
123
23M
2WC
4.4
5VS
6J9
6~7
74X
74Y
7~V
88I
9M5
AAAZR
AABES
AABWE
AACJH
AAGFV
AAKNA
AAKTX
AAMNQ
AANRG
AARAB
AASVR
AATMM
AAUIS
AAUKB
AAYXX
ABBXD
ABBZL
ABGDZ
ABITZ
ABJCF
ABJNI
ABKKG
ABMWE
ABQTM
ABROB
ABUWG
ABVFV
ABVKB
ABVZP
ABXAU
ABXHF
ABZCX
ABZUI
ACBMC
ACDLN
ACEJA
ACETC
ACGFS
ACIMK
ACRPL
ACUIJ
ACYZP
ACZBM
ACZUX
ACZWT
ADCGK
ADDNB
ADFEC
ADKIL
ADNMO
ADOVH
ADOVT
ADVJH
AEBAK
AEBPU
AEGXH
AEHGV
AEMFK
AEMTW
AENCP
AENEX
AENGE
AFFHD
AFFUJ
AFKQG
AFKRA
AFLOS
AFLVW
AFUTZ
AFZFC
AGABE
AGBYD
AGJUD
AGLWM
AGQPQ
AHQXX
AHRGI
AI.
AIGNW
AIHIV
AIOIP
AISIE
AJ7
AJCYY
AJPFC
AJQAS
AKMAY
AKZCZ
ALMA_UNASSIGNED_HOLDINGS
ALWZO
AMVHM
ANOYL
AQJOH
ARABE
ARZZG
ATUCA
AUXHV
AYIQA
AZQEC
BBLKV
BCGOX
BENPR
BESQT
BGHMG
BGLVJ
BJBOZ
BLZWO
BMAJL
BQFHP
C0O
C1A
CAG
CBIIA
CCPQU
CCQAD
CCUQV
CDIZJ
CFAFE
CFBFF
CGQII
CHEAL
CITATION
CJCSC
COF
CS3
DOHLZ
DWQXO
EBS
EGQIC
EJD
GNUQQ
HCIFZ
HG-
HST
HZ~
I.6
I.7
I.9
IH6
IOEEP
IOO
IS6
I~P
J36
J38
J3A
JHPGK
JQKCU
KAFGG
KCGVB
KFECR
KWQ
L98
LHUNA
LW7
M-V
M2P
M7S
M7~
M8.
NIKVX
NMFBF
NZEOI
O9-
PHGZM
PHGZT
PQGLB
PTHSS
PYCCK
RAMDC
RCA
RFR
RNS
ROL
RR0
S6U
SAAAG
SJN
T9M
TN5
UT1
VH1
WFFJZ
WQ3
WXU
WYP
ZCG
ZDLDU
ZJOSE
ZMEZD
ZYDXJ
~02
~V1
3V.
7XB
8FE
8FG
8FK
L6V
PKEHL
PQEST
PQQKQ
PQUKI
PRINS
Q9U
ID FETCH-LOGICAL-c268t-a06ac1524ec1bd87a13b33e6a2589a862d3cfabec1e09eaa1ba197a1fa3c09fe3
IEDL.DBID M2P
ISICitedReferencesCount 0
ISICitedReferencesURI http://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=Summon&SrcAuth=ProQuest&DestLinkType=CitingArticles&DestApp=WOS_CPL&KeyUT=001318743800001&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D
ISSN 1446-1811
IngestDate Fri Jul 25 11:54:01 EDT 2025
Sat Nov 29 03:46:55 EST 2025
IsDoiOpenAccess true
IsOpenAccess true
IsPeerReviewed true
IsScholarly true
Issue 2
Language English
LinkModel DirectLink
MergedId FETCHMERGED-LOGICAL-c268t-a06ac1524ec1bd87a13b33e6a2589a862d3cfabec1e09eaa1ba197a1fa3c09fe3
Notes ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ORCID 0000-0002-1198-2578
OpenAccessLink http://doi.org/10.1017/s1446181124000142
PQID 3166314837
PQPubID 5516365
PageCount 23
ParticipantIDs proquest_journals_3166314837
crossref_primary_10_1017_S1446181124000142
PublicationCentury 2000
PublicationDate 2024-04-01
PublicationDateYYYYMMDD 2024-04-01
PublicationDate_xml – month: 04
  year: 2024
  text: 2024-04-01
  day: 01
PublicationDecade 2020
PublicationPlace Cambridge
PublicationPlace_xml – name: Cambridge
PublicationTitle The ANZIAM journal
PublicationYear 2024
Publisher Cambridge University Press
Publisher_xml – name: Cambridge University Press
SSID ssj0043732
Score 2.3000102
Snippet We devise schemes for producing, in the least possible time, p identical objects with n agents that work at differing speeds. This involves halting the process...
We devise schemes for producing, in the least possible time, p identical objects with n agents that work at differing speeds. This involves halting the process...
SourceID proquest
crossref
SourceType Aggregation Database
Index Database
StartPage 98
SubjectTerms Algorithms
Bicycles
Title PRODUCTION OPTIMIZATION FOR AGENTS OF DIFFERING WORK RATES
URI https://www.proquest.com/docview/3166314837
Volume 66
WOSCitedRecordID wos001318743800001&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D
hasFullText 1
inHoldings 1
isFullTextHit
isPrint
journalDatabaseRights – providerCode: PRVPQU
  databaseName: Engineering Database
  customDbUrl:
  eissn: 1446-8735
  dateEnd: 20241209
  omitProxy: false
  ssIdentifier: ssj0043732
  issn: 1446-1811
  databaseCode: M7S
  dateStart: 20010101
  isFulltext: true
  titleUrlDefault: http://search.proquest.com
  providerName: ProQuest
– providerCode: PRVPQU
  databaseName: ProQuest Central
  customDbUrl:
  eissn: 1446-8735
  dateEnd: 20241209
  omitProxy: false
  ssIdentifier: ssj0043732
  issn: 1446-1811
  databaseCode: BENPR
  dateStart: 20010101
  isFulltext: true
  titleUrlDefault: https://www.proquest.com/central
  providerName: ProQuest
– providerCode: PRVPQU
  databaseName: Science Database
  customDbUrl:
  eissn: 1446-8735
  dateEnd: 20241209
  omitProxy: false
  ssIdentifier: ssj0043732
  issn: 1446-1811
  databaseCode: M2P
  dateStart: 20010101
  isFulltext: true
  titleUrlDefault: https://search.proquest.com/sciencejournals
  providerName: ProQuest
link http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV07T8MwELagZYCBN6JQKg9MSBZ1nObBggpNAEGTKG0FYokcx5FY2tIUfj9nJwFVSCwsGewM0cW57x5fvkPoHEJQBwJPRgxbWsS0IUFJLZoTU0gqLKVwleofhZ_sIHBeXtyoKrgVFa2y9onaUWczoWrkl4wCNlKlf349fydqapTqrlYjNNZREyIbqihdQyOqPbFS7dHdTkh5CCAZrbuaSjJaLao1xaGENMFYxaVVt6yxxt_571Puou0qysT98ljsoTU53Udbw2-J1uIAXUVxOJhoCgkOozH4sFddrsKQFuL-nReMRzj08eDB97XsFH4O40cc98fe6BBNfG98e0-qQQpEGJazJLxrcQFAbUpB08yxOWUpY9LiRs9xOeQ0GRM5h7dJZdeVnNOUUxfuyjkTXTeX7Ag1prOpPEY478Eml7kaQ2X2pONQmXFpAhAa0k5zq4UuajMm81IvIymJZHbyy-Yt1K6tmFSfTpH8mPDk7-1TtGlAhFHSaNqosVx8yDO0IT6Xb8Wig5o3XhDFHX0i1NUefQHTT7cY
linkProvider ProQuest
linkToHtml http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMw1V1LS8NAEB5qFdSDb7FadQ96EYLdTZqHIFJsY0uftCkWL3Gz2YCXtrZV8U_5G51NGqUI3jx43Q1Lkm-Yb2Z39huAMwxBbQw8dY1Z0tQMCxOUwKSRZghJhakUroL4onDDarXswcDpZOAjvQujyipTnxg76nAk1B75pU6RG6nSP78ZP2uqa5Q6XU1baCRmUZfvb5iyTa9rZcT3nDG34t1WtXlXAU0w055pvGBygaxlSEGD0LY41QNdlyZnRdvhGOCHuog4fhqVBUdyTgNOHXwq4rooOJHUcd0lWDaUspgqFWSd1PMrlaD4dBVTLA2Zk6anqEqiWg2qMVWziWkJW-TBRRqIuc3d_G9_ZQs25lE0KSVmvw0ZOdyB9eaXBO10F6463Xa5H5fIkHbHQx_9EG_HEUx7Semu0vJ6pO2Scs11Y1ktct_u1km35FV6e9D_k5ffh-xwNJQHQKIiTnIZqTZbRlHaNpUhlwYSPZNWEJk5uEhh88eJHoifFMpZ_g-Mc5BPUfPnrmHqf0N2-Pv0KaxWvWbDb9Ra9SNYYxhNJSVDecjOJi_yGFbE6-xpOjmJrZDA418D_AnGexS8
linkToPdf http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMw1V1LT8JAEJ4gGKMH30YUdQ96MWlg29KHiTEoVAlYGh6ReKnbZZt4AQTU-Nf8dc72oSEm3jh43W2att92vpmd2W8ATtEFtdDx1BTVFIaimxigBAYNFZ0Lyg2pcBVEB4Wbputa_b7tZeAzPQsjyypTmxgZ6sGIyz3yokaRG6nUPy-GSVmEV3Wuxi-K7CAlM61pO414iTTExzuGb9PLehWxPlNVp9a9uVOSDgMKVw1rprCSwTgymC44DQaWyagWaJowmFq2bIbO_kDjIcPXpKJkC8ZowKiNV4VM4yU7FBredwlyJjoZehZy1zXXa6c8IDWDolwrBlwK8ihNc6pSsFoOyjFZwYlBijrPivOkEDGds_Gfv9EmrCf-NanEP8QWZMRwG9buv8Vppztw4bVb1V5UPENaXhet92O0UUcwICaV25rb7ZCWQ6p1x4kEt8hDq90g7Uq31tmF3kIefg-yw9FQ7AMJyzjJRCgbcOllYVlUDJjQ0QVQhRmERh7OUwj9cawU4scldKb_C-88FFIE_cRoTP0f-A7-nj6BFcTVb9bdxiGsquhmxbVEBcjOJq_iCJb52-x5OjlOliSBp0Uj_AXGBx7W
openUrl ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=PRODUCTION+OPTIMIZATION+FOR+AGENTS+OF+DIFFERING+WORK+RATES&rft.jtitle=The+ANZIAM+journal&rft.au=Higgins%2C+Peter+M&rft.date=2024-04-01&rft.pub=Cambridge+University+Press&rft.issn=1446-1811&rft.eissn=1446-8735&rft.volume=66&rft.issue=2&rft.spage=98&rft.epage=120&rft_id=info:doi/10.1017%2FS1446181124000142&rft.externalDBID=HAS_PDF_LINK
thumbnail_l http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=1446-1811&client=summon
thumbnail_m http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=1446-1811&client=summon
thumbnail_s http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=1446-1811&client=summon