Analysis of three mathematical models of the Staff Rostering Problem
Staff rostering is a major challenge in the service sector, where exploitation costs are essentially made up of staffing costs. Searching for an optimum has direct economic returns but the rosters must satisfy numerous legal constraints. This paper presents work on an exact approach using branch-and...
Saved in:
| Published in | Journal of scheduling Vol. 15; no. 1; pp. 23 - 38 |
|---|---|
| Main Authors | , , , , |
| Format | Journal Article |
| Language | English |
| Published |
Boston
Springer US
01.02.2012
Springer Nature B.V |
| Subjects | |
| Online Access | Get full text |
Cover
Loading…
| Abstract | Staff rostering is a major challenge in the service sector, where exploitation costs are essentially made up of staffing costs. Searching for an optimum has direct economic returns but the rosters must satisfy numerous legal constraints. This paper presents work on an exact approach using branch-and-price methods on a concrete situation. We develop three MILP models and extend them with valid inequalities to two cases. Their computation results on a set of 960 tests covering several scenarios will then be compared and analyzed. |
|---|---|
| AbstractList | Staff rostering is a major challenge in the service sector, where exploitation costs are essentially made up of staffing costs. Searching for an optimum has direct economic returns but the rosters must satisfy numerous legal constraints. This paper presents work on an exact approach using branch-and-price methods on a concrete situation. We develop three MILP models and extend them with valid inequalities to two cases. Their computation results on a set of 960 tests covering several scenarios will then be compared and analyzed. Staff rostering is a major challenge in the service sector, where exploitation costs are essentially made up of staffing costs. Searching for an optimum has direct economic returns but the rosters must satisfy numerous legal constraints. This paper presents work on an exact approach using branch-and-price methods on a concrete situation. We develop three MILP models and extend them with valid inequalities to two cases. Their computation results on a set of 960 tests covering several scenarios will then be compared and analyzed.[PUBLICATION ABSTRACT] |
| Author | Chan, P. Y. C. Zemmouri, T. Weil, G. Naudin, É. Hiroux, M. |
| Author_xml | – sequence: 1 givenname: É. surname: Naudin fullname: Naudin, É. email: edith.naudin@free.fr organization: Equitime, Eurodecision – sequence: 2 givenname: P. Y. C. surname: Chan fullname: Chan, P. Y. C. organization: Equitime – sequence: 3 givenname: M. surname: Hiroux fullname: Hiroux, M. organization: Equitime – sequence: 4 givenname: T. surname: Zemmouri fullname: Zemmouri, T. organization: Equitime – sequence: 5 givenname: G. surname: Weil fullname: Weil, G. organization: Equitime |
| BookMark | eNp1kE1LAzEQhoMo2FZ_gLfFk5fo5GOzm2Opn1BQ_DiHdHdit-xuarI99N-b2oIgeJkZZt73hXnG5Lj3PRJyweCaARQ3kYHOGQXQFFieU3FERmmlKZM8P_6ZJVVMqFMyjnEFAGXB2YjcTnvbbmMTM--yYRkQs84OS0ylqWybdb7G9nDE7G2wzmWvPg4Ymv4zewl-0WJ3Rk6cbSOeH_qEfNzfvc8e6fz54Wk2ndNKFHqgeS106QTT6KSugCslS8FsAYxzJQVHVPWiAI65ZWCLGnUppMrLhbS8lsqJCbna566D_9pgHEzXxArb1vboN9EwYFqJFKqT9PKPdOU3If0ajeasECAhTyK2F1XBxxjQmXVoOhu2KcnssJo9VpOwmh1WI5KH7z1xvUOA4Tf4f9M331J57A |
| CitedBy_id | crossref_primary_10_1016_j_dam_2013_04_021 crossref_primary_10_1016_j_ejor_2013_10_023 crossref_primary_10_1016_j_ejor_2012_11_029 crossref_primary_10_1142_S0219622020300050 |
| Cites_doi | 10.1016/S0377-2217(03)00095-X 10.1016/j.ejor.2005.04.028 10.1287/opre.8.1.101 10.1016/j.cor.2005.05.024 10.1287/opre.9.6.849 10.1002/1520-6750(199302)40:1<69::AID-NAV3220400105>3.0.CO;2-H 10.1023/B:JOSH.0000046076.75950.0b 10.1287/opre.42.5.977 10.1002/(SICI)1099-1425(200005/06)3:3<139::AID-JOS41>3.0.CO;2-2 10.1016/S0377-2217(97)00330-5 10.1287/opre.47.2.247 10.1287/opre.24.5.842 10.1287/opre.46.3.316 |
| ContentType | Journal Article |
| Copyright | Springer Science+Business Media, LLC 2009 Springer Science+Business Media, LLC 2012 |
| Copyright_xml | – notice: Springer Science+Business Media, LLC 2009 – notice: Springer Science+Business Media, LLC 2012 |
| DBID | AAYXX CITATION 0U~ 1-H 3V. 7TA 7TB 7WY 7WZ 7X7 7XB 87Z 88C 8AL 8AO 8FD 8FE 8FG 8FI 8FJ 8FK 8FL ABUWG AFKRA ARAPS AZQEC BENPR BEZIV BGLVJ CCPQU DWQXO FR3 FRNLG FYUFA F~G GHDGH GNUQQ HCIFZ JG9 JQ2 K60 K6~ K7- K9. L.- L.0 M0C M0N M0S M0T P5Z P62 PQBIZ PQBZA PQEST PQQKQ PQUKI PRINS PYYUZ Q9U |
| DOI | 10.1007/s10951-009-0155-3 |
| DatabaseName | CrossRef Global News & ABI/Inform Professional Trade PRO ProQuest Central (Corporate) Materials Business File Mechanical & Transportation Engineering Abstracts ABI/INFORM Collection ABI/INFORM Global (PDF only) Health & Medical Collection ProQuest Central (purchase pre-March 2016) ABI/INFORM Collection Healthcare Administration Database (Alumni) Computing Database (Alumni Edition) ProQuest Pharma Collection Technology Research Database ProQuest SciTech Collection ProQuest Technology Collection Hospital Premium Collection Hospital Premium Collection (Alumni Edition) ProQuest Central (Alumni) (purchase pre-March 2016) ABI/INFORM Collection (Alumni Edition) ProQuest Central (Alumni) ProQuest Central Advanced Technologies & Aerospace Collection ProQuest Central Essentials ProQuest Central ProQuest Business Premium Collection Technology Collection ProQuest One Community College ProQuest Central Engineering Research Database Business Premium Collection (Alumni) Health Research Premium Collection ABI/INFORM Global (Corporate) Health Research Premium Collection (Alumni) ProQuest Central Student SciTech Premium Collection Materials Research Database ProQuest Computer Science Collection ProQuest Business Collection (Alumni Edition) ProQuest Business Collection Computer Science Database ProQuest Health & Medical Complete (Alumni) ABI/INFORM Professional Advanced ABI/INFORM Professional Standard ABI/INFORM Global Computing Database Health & Medical Collection (Alumni Edition) ProQuest Healthcare Administration Database Advanced Technologies & Aerospace Database ProQuest Advanced Technologies & Aerospace Collection One Business ProQuest One Business (Alumni) ProQuest One Academic Eastern Edition (DO NOT USE) ProQuest One Academic ProQuest One Academic UKI Edition ProQuest Central China ABI/INFORM Collection China ProQuest Central Basic |
| DatabaseTitle | CrossRef Materials Research Database ProQuest Business Collection (Alumni Edition) Computer Science Database ProQuest Central Student ProQuest Advanced Technologies & Aerospace Collection ProQuest Central Essentials ProQuest Computer Science Collection SciTech Premium Collection Trade PRO ProQuest Central China ABI/INFORM Complete Materials Business File Global News & ABI/Inform Professional Health Research Premium Collection Advanced Technologies & Aerospace Collection Business Premium Collection ABI/INFORM Global ProQuest One Academic Eastern Edition ProQuest Hospital Collection ProQuest Technology Collection Health Research Premium Collection (Alumni) ProQuest Business Collection ProQuest Hospital Collection (Alumni) ProQuest Health & Medical Complete ProQuest One Academic UKI Edition ProQuest Health Management (Alumni Edition) Engineering Research Database ProQuest One Academic ABI/INFORM Global (Corporate) ProQuest One Business Technology Collection Technology Research Database Mechanical & Transportation Engineering Abstracts ProQuest Health & Medical Complete (Alumni) ProQuest Central (Alumni Edition) ProQuest One Community College ProQuest Pharma Collection ProQuest Central ABI/INFORM Professional Advanced Health and Medicine Complete (Alumni Edition) ABI/INFORM Professional Standard ProQuest Central Korea ABI/INFORM Complete (Alumni Edition) ProQuest Computing ABI/INFORM Global (Alumni Edition) ProQuest Central Basic ProQuest Computing (Alumni Edition) ProQuest Health Management ABI/INFORM China ProQuest SciTech Collection Advanced Technologies & Aerospace Database ProQuest One Business (Alumni) ProQuest Central (Alumni) Business Premium Collection (Alumni) |
| DatabaseTitleList | Materials Research Database Materials Research Database |
| Database_xml | – sequence: 1 dbid: 8FG name: ProQuest Technology Collection url: https://search.proquest.com/technologycollection1 sourceTypes: Aggregation Database |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Engineering Computer Science Business Economics |
| EISSN | 1099-1425 |
| EndPage | 38 |
| ExternalDocumentID | 2588323321 10_1007_s10951_009_0155_3 |
| Genre | Feature |
| GroupedDBID | -57 -5G -BR -EM -Y2 -~C .4S .86 .DC .VR 06D 0R~ 0VY 1N0 1OC 203 29L 2J2 2JN 2JY 2KG 2LR 2P1 2VQ 2~H 30V 31~ 3V. 4.4 406 408 409 40D 40E 5GY 5VS 67Z 6NX 7WY 7X7 8-1 8AO 8FE 8FG 8FI 8FJ 8FL 8TC 8UJ 95- 95. 95~ 96X AAAVM AABHQ AAFGU AAHNG AAIAL AAJKR AANZL AARHV AARTL AATNV AATVU AAUYE AAWCG AAYFA AAYIU AAYQN AAYTO ABBBX ABBXA ABDZT ABECU ABFGW ABFTD ABFTV ABHLI ABHQN ABIJN ABJNI ABJOX ABKAS ABKCH ABKTR ABMNI ABMQK ABNWP ABQBU ABSXP ABTEG ABTHY ABTKH ABTMW ABULA ABUWG ABWNU ABXPI ACBMV ACBRV ACBXY ACBYP ACGFS ACHSB ACHXU ACIGE ACIPQ ACIWK ACKNC ACMDZ ACMLO ACOKC ACOMO ACTTH ACVWB ACWMK ACXQS ADBBV ADHHG ADHIR ADINQ ADKNI ADKPE ADMDM ADOXG ADRFC ADTPH ADURQ ADYFF ADZKW AEBTG AEFTE AEGAL AEGNC AEJHL AEJRE AEKMD AENEX AEOHA AEPYU AESKC AESTI AETLH AEVLU AEVTX AEXYK AFBPY AFGCZ AFKRA AFLOW AFNRJ AFQWF AFWTZ AFZJQ AFZKB AGAYW AGDGC AGGBP AGJBK AGMZJ AGQMX AGWIL AGWZB AGYKE AHAVH AHBYD AHMBA AHSBF AHYZX AIAKS AIIXL AILAN AIMYW AITGF AJAOE AJBLW AJDOV AJRNO AJZVZ AKQUC ALMA_UNASSIGNED_HOLDINGS ALWAN AMKLP AMXSW AMYLF AMYQR AOCGG AQUVI ARAPS ARCSS ARMRJ ASPBG AVWKF AXYYD AYQZM AZFZN AZQEC B-. BA0 BAPOH BDATZ BENPR BEZIV BGLVJ BGNMA BPHCQ BVXVI CAG CCPQU COF CS3 CSCUP DDRTE DL5 DNIVK DPUIP DU5 DWQXO EBLON EBS EDO EHE EIOEI EJD ESBYG FEDTE FERAY FFXSO FIGPU FINBP FNLPD FRNLG FRRFC FSGXE FWDCC FYUFA GGCAI GGRSB GJIRD GNUQQ GNWQR GQ6 GQ7 GQ8 GROUPED_ABI_INFORM_COMPLETE GXS HCIFZ HF~ HG5 HG6 HLICF HMCUK HMJXF HQYDN HRMNR HVGLF HZ~ I-F I09 IHE IJ- IKXTQ ITM IWAJR IXC IXE IZIGR IZQ I~X I~Z J-C J0Z J9A JBSCW JCJTX JZLTJ K60 K6V K6~ K7- KDC KOV LAK LAW LH4 LLZTM M0C M0N M0T M4Y MA- N2Q NB0 NPVJJ NQJWS NU0 O9- O93 O9G O9J OAM OVD P2P P62 P9M PF0 PQBIZ PQQKQ PROAC PT4 Q2X QOS R89 R9I RNI ROL RPX RSV RZC RZD S16 S1Z S27 S3B SAP SBE SDH SHX SISQX SJYHP SNE SNPRN SNX SOHCF SOJ SPISZ SRMVM SSLCW STPWE SZN T13 TEORI TSG TSK TSV TUC TUS U2A UG4 UKHRP UNUBA UOJIU UTJUX UZXMN VC2 VFIZW W23 W48 W99 WK8 XPP XV2 YLTOR Z45 Z7X Z83 Z88 ZMTXR ~A9 AACDK AAJBT AASML AAYXX ABAKF ACAOD ACDTI ACZOJ AEFQL AEMSY AFBBN AGQEE AGRTI AIGIU ALIPV CITATION H13 PQBZA 0U~ 1-H 7TA 7TB 7XB 8AL 8FD 8FK FR3 JG9 JQ2 K9. L.- L.0 PQEST PQUKI PRINS Q9U |
| ID | FETCH-LOGICAL-c379t-5d398f319ef49c02664831a701226432ee6db702e5a10a7de9834658b4a2d46f3 |
| IEDL.DBID | BENPR |
| ISSN | 1094-6136 |
| IngestDate | Sat Aug 17 04:08:38 EDT 2024 Thu Sep 12 23:25:08 EDT 2024 Thu Sep 12 19:49:56 EDT 2024 Sat Dec 16 12:02:24 EST 2023 |
| IsPeerReviewed | true |
| IsScholarly | true |
| Issue | 1 |
| Keywords | Linear programming Column generation Rostering problem |
| Language | English |
| LinkModel | DirectLink |
| MergedId | FETCHMERGED-LOGICAL-c379t-5d398f319ef49c02664831a701226432ee6db702e5a10a7de9834658b4a2d46f3 |
| Notes | ObjectType-Article-2 SourceType-Scholarly Journals-1 ObjectType-Feature-1 content type line 23 |
| PQID | 921730405 |
| PQPubID | 43675 |
| PageCount | 16 |
| ParticipantIDs | proquest_miscellaneous_1019634839 proquest_journals_921730405 crossref_primary_10_1007_s10951_009_0155_3 springer_journals_10_1007_s10951_009_0155_3 |
| PublicationCentury | 2000 |
| PublicationDate | 2012-02-01 |
| PublicationDateYYYYMMDD | 2012-02-01 |
| PublicationDate_xml | – month: 02 year: 2012 text: 2012-02-01 day: 01 |
| PublicationDecade | 2010 |
| PublicationPlace | Boston |
| PublicationPlace_xml | – name: Boston – name: New York |
| PublicationTitle | Journal of scheduling |
| PublicationTitleAbbrev | J Sched |
| PublicationYear | 2012 |
| Publisher | Springer US Springer Nature B.V |
| Publisher_xml | – name: Springer US – name: Springer Nature B.V |
| References | Gilmore, Gomory (CR13) 1960; 9 Ceria, Nobili, Sassano, Dell’Amico, Maffoli, Martello (CR7) 1997 Ernst, Jiang, Krishnamoorthy, Sier (CR11) 2004; 153 CR5 Aickelin, Dowsland (CR1) 2000; 31 CR16 Dantzig, Wolfe (CR8) 1960; 8 Jaumard, Semet, Vovor (CR14) 1998; 107 Mautor, Naudin (CR15) 2007; 34 Dror (CR10) 1994; 42 Brusco, Jacobs (CR4) 1993; 40 Burke, De Causmaecker, Vanden Berghe, Van Landeghem (CR6) 2004; 7 Beliën, Demeulemeester (CR3) 2006; 175 Barnhart, Johnson, Nemhauser, Savelsbergh, Vance (CR2) 1998; 46 Gamache, Soumis, Marquis, Desrosiers (CR12) 1999; 47 Warner (CR17) 1976; 24 Desrochers, Soumis (CR9) 1988; 26 U. Aickelin (155_CR1) 2000; 31 155_CR5 P. C. Gilmore (155_CR13) 1960; 9 C. Barnhart (155_CR2) 1998; 46 M. J. Brusco (155_CR4) 1993; 40 A. T. Ernst (155_CR11) 2004; 153 M. Dror (155_CR10) 1994; 42 T. Mautor (155_CR15) 2007; 34 M. Desrochers (155_CR9) 1988; 26 155_CR16 G. B. Dantzig (155_CR8) 1960; 8 M. Gamache (155_CR12) 1999; 47 B. Jaumard (155_CR14) 1998; 107 J. Beliën (155_CR3) 2006; 175 E. K. Burke (155_CR6) 2004; 7 S. Ceria (155_CR7) 1997 D. M. Warner (155_CR17) 1976; 24 |
| References_xml | – volume: 26 start-page: 191 issue: 3 year: 1988 end-page: 212 ident: CR9 article-title: A generalised permanent labelling algorithm for the shortest path problem with time windows publication-title: INFOR contributor: fullname: Soumis – start-page: 415 year: 1997 end-page: 428 ident: CR7 article-title: Set covering problem publication-title: Annotated bibliographies in combinatorial optimization contributor: fullname: Martello – volume: 153 start-page: 3 year: 2004 end-page: 37 ident: CR11 article-title: Staff scheduling and rostering: A review of applications, methods and models publication-title: European Journal of Operational Research doi: 10.1016/S0377-2217(03)00095-X contributor: fullname: Sier – volume: 175 start-page: 258 year: 2006 end-page: 278 ident: CR3 article-title: Scheduling trainees at a hospital department using a branch-and-price approach publication-title: European Journal of Operational Research doi: 10.1016/j.ejor.2005.04.028 contributor: fullname: Demeulemeester – volume: 8 start-page: 101 year: 1960 end-page: 111 ident: CR8 article-title: Decomposition principle for linear programs publication-title: Operations Research doi: 10.1287/opre.8.1.101 contributor: fullname: Wolfe – volume: 34 start-page: 1061 issue: 4 year: 2007 end-page: 1084 ident: CR15 article-title: Arcs-states models for the vehicle routing problem with time windows and related problems publication-title: Computers and Operations Research doi: 10.1016/j.cor.2005.05.024 contributor: fullname: Naudin – ident: CR16 – volume: 9 start-page: 849 year: 1960 end-page: 859 ident: CR13 article-title: A linear programming approach to the cutting stock problem publication-title: Operations Research doi: 10.1287/opre.9.6.849 contributor: fullname: Gomory – volume: 40 start-page: 69 year: 1993 end-page: 84 ident: CR4 article-title: A simulated annealing approach to the cyclic staff-scheduling problem publication-title: Naval Research Logistics doi: 10.1002/1520-6750(199302)40:1<69::AID-NAV3220400105>3.0.CO;2-H contributor: fullname: Jacobs – volume: 7 start-page: 441 issue: 6 year: 2004 end-page: 499 ident: CR6 article-title: The state of the art of nurse rostering publication-title: Journal of Scheduling doi: 10.1023/B:JOSH.0000046076.75950.0b contributor: fullname: Van Landeghem – volume: 42 start-page: 977 year: 1994 end-page: 978 ident: CR10 article-title: Note on the complexity of the shortest path models for column generation in VRPTW publication-title: Operations Research doi: 10.1287/opre.42.5.977 contributor: fullname: Dror – volume: 31 start-page: 139 year: 2000 end-page: 153 ident: CR1 article-title: Exploiting problem structure in a genetic algorithms approach to a nurse rostering problem publication-title: Journal of Scheduling doi: 10.1002/(SICI)1099-1425(200005/06)3:3<139::AID-JOS41>3.0.CO;2-2 contributor: fullname: Dowsland – volume: 107 start-page: 1 issue: 1 year: 1998 end-page: 18 ident: CR14 article-title: A generalized linear programming model for nurse scheduling publication-title: European Journal of Operational Research doi: 10.1016/S0377-2217(97)00330-5 contributor: fullname: Vovor – ident: CR5 – volume: 47 start-page: 247 year: 1999 end-page: 263 ident: CR12 article-title: A column generation approach for large scale aircrew rostering problems publication-title: Operations Research doi: 10.1287/opre.47.2.247 contributor: fullname: Desrosiers – volume: 24 start-page: 842 issue: 5 year: 1976 end-page: 856 ident: CR17 article-title: Scheduling nursing personnel according to nursing preference: A mathematical programming approach publication-title: Operations Research doi: 10.1287/opre.24.5.842 contributor: fullname: Warner – volume: 46 start-page: 316 year: 1998 end-page: 329 ident: CR2 article-title: Branch-and-price: column generation for solving huge integer programs publication-title: Operations Research doi: 10.1287/opre.46.3.316 contributor: fullname: Vance – volume: 153 start-page: 3 year: 2004 ident: 155_CR11 publication-title: European Journal of Operational Research doi: 10.1016/S0377-2217(03)00095-X contributor: fullname: A. T. Ernst – volume: 42 start-page: 977 year: 1994 ident: 155_CR10 publication-title: Operations Research doi: 10.1287/opre.42.5.977 contributor: fullname: M. Dror – volume: 107 start-page: 1 issue: 1 year: 1998 ident: 155_CR14 publication-title: European Journal of Operational Research doi: 10.1016/S0377-2217(97)00330-5 contributor: fullname: B. Jaumard – ident: 155_CR5 – volume: 8 start-page: 101 year: 1960 ident: 155_CR8 publication-title: Operations Research doi: 10.1287/opre.8.1.101 contributor: fullname: G. B. Dantzig – volume: 34 start-page: 1061 issue: 4 year: 2007 ident: 155_CR15 publication-title: Computers and Operations Research doi: 10.1016/j.cor.2005.05.024 contributor: fullname: T. Mautor – volume: 47 start-page: 247 year: 1999 ident: 155_CR12 publication-title: Operations Research doi: 10.1287/opre.47.2.247 contributor: fullname: M. Gamache – start-page: 415 volume-title: Annotated bibliographies in combinatorial optimization year: 1997 ident: 155_CR7 contributor: fullname: S. Ceria – volume: 26 start-page: 191 issue: 3 year: 1988 ident: 155_CR9 publication-title: INFOR contributor: fullname: M. Desrochers – ident: 155_CR16 – volume: 31 start-page: 139 year: 2000 ident: 155_CR1 publication-title: Journal of Scheduling doi: 10.1002/(SICI)1099-1425(200005/06)3:3<139::AID-JOS41>3.0.CO;2-2 contributor: fullname: U. Aickelin – volume: 46 start-page: 316 year: 1998 ident: 155_CR2 publication-title: Operations Research doi: 10.1287/opre.46.3.316 contributor: fullname: C. Barnhart – volume: 40 start-page: 69 year: 1993 ident: 155_CR4 publication-title: Naval Research Logistics doi: 10.1002/1520-6750(199302)40:1<69::AID-NAV3220400105>3.0.CO;2-H contributor: fullname: M. J. Brusco – volume: 7 start-page: 441 issue: 6 year: 2004 ident: 155_CR6 publication-title: Journal of Scheduling doi: 10.1023/B:JOSH.0000046076.75950.0b contributor: fullname: E. K. Burke – volume: 175 start-page: 258 year: 2006 ident: 155_CR3 publication-title: European Journal of Operational Research doi: 10.1016/j.ejor.2005.04.028 contributor: fullname: J. Beliën – volume: 24 start-page: 842 issue: 5 year: 1976 ident: 155_CR17 publication-title: Operations Research doi: 10.1287/opre.24.5.842 contributor: fullname: D. M. Warner – volume: 9 start-page: 849 year: 1960 ident: 155_CR13 publication-title: Operations Research doi: 10.1287/opre.9.6.849 contributor: fullname: P. C. Gilmore |
| SSID | ssj0008721 |
| Score | 2.0095956 |
| Snippet | Staff rostering is a major challenge in the service sector, where exploitation costs are essentially made up of staffing costs. Searching for an optimum has... |
| SourceID | proquest crossref springer |
| SourceType | Aggregation Database Publisher |
| StartPage | 23 |
| SubjectTerms | Algorithms Artificial Intelligence Business and Management Calculus of Variations and Optimal Control; Optimization Costs Decomposition Economics Employees Inequalities Linear programming Mathematical models Operations Research/Decision Theory Optimization Scheduling Searching Staff Studies Supply Chain Management |
| SummonAdditionalLinks | – databaseName: SpringerLINK - Czech Republic Consortium dbid: AGYKE link: http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwlV3NT8IwFH9BSIweRFEjoqYmnjQjbO3W7UgUJBqNMZLgaVm39kIcRsbFv97XbR34deDcrkv7-r76Pn4AF07ixT6NHUtwW1iMi9gSLleWx9HDZYqjTtaFwg-P3mjM7ibupAZO9XSRTrsmIpkL6pVaN40In7_low606AY0XI1KXYdG__b1flDJX58X1VbouKBjRD0Ty_xrke_aaGli_oiK5spm2CwKAOd5j0KdYzLtLjLRjT9_d3BcYx-7sFPanqRfXJY9qMm0BZsm9b0FTQPxQEqOb8H2Sr_CfbgxLUzITJEMb4Ekb1XbV1w5h9UpByXRyMCKPOsqEv05eSqwaw5gPBy8XI-sEobBiikPMstNaOArZFWpWBCjz-Yxn9oR10E5tGccKb1E8J4j3cjuRTyRgU8ZGjaCRU7CPEUPoZ7OUnkERKBBqWwVuXbsM5wkbFSNfizdRD9FUdqGS0OO8L3othEu-yrrgwvx4EJ9cCFO7hiChSXjzcMAXSyKgsltw3k1ihyjwyBRKmeLuU5qQ6mDewjacGVotFzh3_8drzW7A1toWzlFgvcJ1LOPhTxF-yUTZ-WF_QJqouLi priority: 102 providerName: Springer Nature |
| Title | Analysis of three mathematical models of the Staff Rostering Problem |
| URI | https://link.springer.com/article/10.1007/s10951-009-0155-3 https://www.proquest.com/docview/921730405/abstract/ https://search.proquest.com/docview/1019634839 |
| Volume | 15 |
| hasFullText | 1 |
| inHoldings | 1 |
| isFullTextHit | |
| isPrint | |
| link | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwfV3dT9swED8VKqHxMFg3RAdUnsQTk9UmduLkCbXQFoGoULVK3VMUO_YbLazp_7-7Jm4Z0nhJHuzYyp3t-53vC-AyLGKTCBNyrQLNpdKG60g5HivUcKVTKJMpUPhxEt_N5P08mjdg7GNhyK3Sn4mbg7pYGroj76aInVH17kXdXNMlgCm71y-vnMpHkZm1rqWxB80wkGSvbQ6Gk6fp9lBOVBWChdoMaksi9gbOKoqOas1vrAQoXbn4V0TtcOc7U-lGAo2O4XMNHVm_4vUXaNhFCw6853oLjnyFBlZv2BYcvkk3-BVufQYStnSsRCZa9rzN2oojb6ri1I2WUWFfx6YUBEKfs6eq9Mw3mI2Gv27ueF1FgRuh0pJHhUgThzvNOpkaVLlimYggV2RTQzgSWhsXWvVCG-VBL1eFTRMhEZdomYeFjJ04gf3FcmFPgWnEgy5weRSYRGInHaBkS4yNCrpJEqINV55w2UuVLCPbpUUmKmdI5YyonGHnM0_arN43q2zL5Tb82LbigicrRr6wy_WKfNLw0MB_SNvw03NkN8J_5_v-4Xxn8AmhUFj5Y5_DfvlnbS8QbpS6A3tqrvCZjMYdaPZHg8GE3uPfD8NOvcywdRb2_wKVdtT2 |
| link.rule.ids | 315,786,790,12083,12792,21416,27957,27958,31754,31755,33408,33409,33779,33780,41116,41558,42185,42627,43345,43635,43840,52146,52269,74102,74392,74659 |
| linkProvider | ProQuest |
| linkToHtml | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwfV1LT8MwDLZgSDwOPAaIMR5B4gSKaJu0aU8IAdOAbUJok3armja50Q7W_X-cvgZIcE6aqHYSf44dfwCXTuLFPosdKoUtKRcyptIVmnoCPVyuBdpk81B4OPL6E_48dadVbs68Squsz8TioE6y2NyR3wSIndH1ttzb2Qc1pFEmuFoxaKzCGmeMm4w-MW38LcsX5bMr9GDQQ2JeHdQsX84ZfvkiMoAWlbKfZmmJNX-FRwur09uF7QoukrtSv3uwotI2rNfZ6m3YqVkZSLVJ27D1rcTgPjzUVUdIpkmOilPkvanUiiMXTDhVoyKGzFeTN_Pww3xOXku6mQOY9B7H931aMSfQmIkgp27CAl_j7lKaBzG6WR73mR0JE0dDCOIo5SVSWI5yI9uKRKICn3HEIpJHTsI9zQ6hlWapOgIiEQNqW0euHfscO0kbrZkfKzcxt0eMdeCqFlw4KwtkhMtSyEbKIUo5NFIOsXO3Fm1Y7ZV52Gi2AxdNKy5yE7mIUpUt5iYPDQ8K_IegA9e1RpYj_Dnf8b_zncNGfzwchIOn0UsXNhEKOWU-9gm08s-FOkW4kcuzYlF9Aa5HzP0 |
| linkToPdf | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwfV1LT8MwDLZgSBMceAwQYzyCxAkUrW3Spj0hxJjGa5oQk3armja50Q3W_X-cNt0ACc5JE9VO4s-x4w_g0suCNGSpR6VwJeVCplT6QtNAoIfLtUCbbB4KvwyDwZg_TvyJLSk0t2mV9ZlYHtTZNDV35N0IsTO63o7f1TYrYtTr38w-qCGQMoFWy6axDhtoJB1DZiAmS9_LCUX1BAu9GfSWWFAHOKtXdIZrvowSoHWl7KeJWuHOX6HS0gL1d2HbQkdyW-l6D9ZU3oJmnbnegp2aoYHYDduCrW_lBvehV1cgIVNNClSiIu_Lqq04csmKYxsVMcS-mryaRyDmczKqqGcOYNy_f7sbUMuiQFMmooL6GYtCjTtNaR6l6HIFPGRuIkxMDeGIp1SQSeF4yk9cJxGZikLGEZdInngZDzQ7hEY-zdUREIl4ULs68d005NhJumjZwlT5mblJYqwNV7Xg4llVLCNelUU2Uo5RyrGRcoydO7VoY7tv5vFSy224WLbigjdRjCRX08Xc5KThoYH_ELXhutbIaoQ_5zv-d75zaOJ6ip8fhk8d2ERU5FWp2SfQKD4X6hSRRyHPyjX1BWPO0Sk |
| 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=Analysis+of+three+mathematical+models+of+the+Staff+Rostering+Problem&rft.jtitle=Journal+of+scheduling&rft.au=Naudin%2C+E&rft.au=Chan%2C+PYC&rft.au=Hiroux%2C+M&rft.au=Zemmouri%2C+T&rft.date=2012-02-01&rft.issn=1094-6136&rft.eissn=1099-1425&rft.volume=15&rft.issue=1&rft.spage=23&rft.epage=38&rft_id=info:doi/10.1007%2Fs10951-009-0155-3&rft.externalDBID=NO_FULL_TEXT |
| thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=1094-6136&client=summon |
| thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=1094-6136&client=summon |
| thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=1094-6136&client=summon |