Two-Agent Single Machine Scheduling with Deteriorating Jobs and Rejection
We consider two two-agent scheduling problems with deteriorating jobs and rejection. Two agents A and B compete for the usage of a single machine. The actual processing time of job JjX is pjX=bjXa+bt, X∈A,B, where bjX is the normal processing time of JjX, a≥0, b≥0 and t denotes the starting time of...
Gespeichert in:
| Veröffentlicht in: | Mathematical problems in engineering Jg. 2022; S. 1 - 10 |
|---|---|
| Hauptverfasser: | , , |
| Format: | Journal Article |
| Sprache: | Englisch |
| Veröffentlicht: |
New York
Hindawi
28.11.2022
John Wiley & Sons, Inc |
| Schlagworte: | |
| ISSN: | 1024-123X, 1563-5147 |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| Abstract | We consider two two-agent scheduling problems with deteriorating jobs and rejection. Two agents A and B compete for the usage of a single machine. The actual processing time of job JjX is pjX=bjXa+bt, X∈A,B, where bjX is the normal processing time of JjX, a≥0, b≥0 and t denotes the starting time of JjX. A job is either rejected by paying a rejection penalty, or accepted and processed on the machine. The objective is to minimize the sum of the completion time of the accepted A-jobs and total rejection penalty of the rejected A-jobs subject to an upper bound on the sum of the given objective function fB of the accepted B-jobs and total rejection penalty of the rejected B-jobs, where fB∈CmaxB,∑CjB. We give dynamic programming algorithms for them, respectively. When fB=CmaxB, we present a fully polynomial-time approximation scheme (FPTAS) for the case a=0 and b=1. When fB=∑CjB, a fully polynomial-time approximation scheme is also presented. |
|---|---|
| AbstractList | We consider two two-agent scheduling problems with deteriorating jobs and rejection. Two agents A and B compete for the usage of a single machine. The actual processing time of job JjX is pjX=bjXa+bt, X∈A,B, where bjX is the normal processing time of JjX, a≥0, b≥0 and t denotes the starting time of JjX. A job is either rejected by paying a rejection penalty, or accepted and processed on the machine. The objective is to minimize the sum of the completion time of the accepted A-jobs and total rejection penalty of the rejected A-jobs subject to an upper bound on the sum of the given objective function fB of the accepted B-jobs and total rejection penalty of the rejected B-jobs, where fB∈CmaxB,∑CjB. We give dynamic programming algorithms for them, respectively. When fB=CmaxB, we present a fully polynomial-time approximation scheme (FPTAS) for the case a=0 and b=1. When fB=∑CjB, a fully polynomial-time approximation scheme is also presented. We consider two two-agent scheduling problems with deteriorating jobs and rejection. Two agents A and B compete for the usage of a single machine. The actual processing time of job J j X is p j X = b j X a + b t , X ∈ A , B , where b j X is the normal processing time of J j X , a ≥ 0 , b ≥ 0 and t denotes the starting time of J j X . A job is either rejected by paying a rejection penalty, or accepted and processed on the machine. The objective is to minimize the sum of the completion time of the accepted A -jobs and total rejection penalty of the rejected A -jobs subject to an upper bound on the sum of the given objective function f B of the accepted B -jobs and total rejection penalty of the rejected B -jobs, where f B ∈ C max B , ∑ C j B . We give dynamic programming algorithms for them, respectively. When f B = C max B , we present a fully polynomial-time approximation scheme (FPTAS) for the case a = 0 and b = 1 . When f B = ∑ C j B , a fully polynomial-time approximation scheme is also presented. |
| Author | Li, Dawei Cheng, Fangzheng Li, Ganggang |
| Author_xml | – sequence: 1 givenname: Dawei orcidid: 0000-0001-7630-9520 surname: Li fullname: Li, Dawei organization: School of Statistics and MathematicsShanghai Lixin University of Accounting and FinanceShanghai 201620Chinalixin.edu.cn – sequence: 2 givenname: Ganggang surname: Li fullname: Li, Ganggang organization: School of Information ManagementJiangxi University of Finance and EconomicsNanchang 330013Chinajxufe.edu.cn – sequence: 3 givenname: Fangzheng surname: Cheng fullname: Cheng, Fangzheng organization: School of Economics and ManagementTongji UniversityShanghai 200092Chinatongji.edu.cn |
| BookMark | eNp9kE1LAzEQhoNUsK3e_AELHnVtvnf3WOpXpSLYCt5Cks22KWtSsymL_95d2pOgpxmG550ZnhEYOO8MAJcI3iLE2ARDjCeEcYYIOQFDxDhJGaLZoOshpinC5OMMjJpmCyFGDOVDMF-1Pp2ujYvJ0rp1bZIXqTfWmWSpN6bc190waW3cJHcmmmB9kLEfPXvVJNKVyZvZGh2td-fgtJJ1Yy6OdQzeH-5Xs6d08fo4n00XqSYkiynDBhUc5hIVimIslSaYEo4lVQVlpa7KnFCWGcmRgqogOWOlKmHFK5V3EUjG4Oqwdxf81940UWz9PrjupMAZLXBGCs46Ch8oHXzTBFMJbaPs_4xB2logKHplolcmjsq60M2v0C7YTxm-_8KvD3jnq5St_Z_-AR_xeY8 |
| CitedBy_id | crossref_primary_10_1109_ACCESS_2024_3404032 crossref_primary_10_3390_math11122737 |
| Cites_doi | 10.1007/s10951-020-00656-5 10.1016/j.ejor.2018.05.050 10.1016/j.cie.2020.106329 10.1007/s10878-021-00697-2 10.1142/s0217595921400030 10.1016/j.ejor.2018.07.038 10.1016/j.apm.2014.07.024 10.1007/s10951-019-00630-w 10.1007/s10878-014-9744-y 10.1145/321921.321934 10.1016/j.omega.2016.07.006 10.1007/s10951-012-0303-z 10.1287/opre.1030.0092 10.1007/978-3-642-41880-8 10.1007/s10878-020-00642-9 10.1137/s0895480196300522 10.1016/j.tcs.2017.09.004 10.1016/j.ejor.2013.09.017 10.1007/978-3-540-69446-5_5 10.1007/978-3-030-93176-6_9 10.1016/j.ejor.2020.07.064 10.1287/opre.1090.0751 10.1007/s10878-010-9364-0 10.1007/978-3-540-45078-8_8 10.1016/j.omega.2020.102313 10.1016/s0196-6774(03)00078-6 10.1007/s11590-019-01526-6 10.1023/A:1022231419049 10.1016/0360-8352(88)90041-1 10.1080/0305215x.2021.1876041 10.1287/opre.38.3.495 |
| ContentType | Journal Article |
| Copyright | Copyright © 2022 Dawei Li et al. Copyright © 2022 Dawei Li et al. This is an open access article distributed under the Creative Commons Attribution License (the “License”), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License. https://creativecommons.org/licenses/by/4.0 |
| Copyright_xml | – notice: Copyright © 2022 Dawei Li et al. – notice: Copyright © 2022 Dawei Li et al. This is an open access article distributed under the Creative Commons Attribution License (the “License”), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License. https://creativecommons.org/licenses/by/4.0 |
| DBID | RHU RHW RHX AAYXX CITATION 7TB 8FD 8FE 8FG ABJCF ABUWG AFKRA ARAPS AZQEC BENPR BGLVJ CCPQU CWDGH DWQXO FR3 GNUQQ HCIFZ JQ2 K7- KR7 L6V M7S P5Z P62 PHGZM PHGZT PIMPY PKEHL PQEST PQGLB PQQKQ PQUKI PRINS PTHSS |
| DOI | 10.1155/2022/3565133 |
| DatabaseName | Hindawi Publishing Complete Hindawi Publishing Subscription Journals Hindawi Publishing Open Access CrossRef Mechanical & Transportation Engineering Abstracts Technology Research Database ProQuest SciTech Collection ProQuest Technology Collection Materials Science & Engineering Collection (subscription) ProQuest Central (Alumni) ProQuest Central UK/Ireland Advanced Technologies & Computer Science Collection ProQuest Central Essentials ProQuest Central Technology collection ProQuest One Community College Middle East & Africa Database ProQuest Central Engineering Research Database ProQuest Central Student SciTech Premium Collection ProQuest Computer Science Collection Computer Science Database Civil Engineering Abstracts ProQuest Engineering Collection Engineering Database (subscription) AAdvanced Technologies & Aerospace Database (subscription) ProQuest Advanced Technologies & Aerospace Collection ProQuest Central Premium ProQuest One Academic Publicly Available Content Database 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 |
| DatabaseTitle | CrossRef Publicly Available Content Database Computer Science Database ProQuest Central Student Technology Collection Technology Research Database ProQuest One Academic Middle East (New) Mechanical & Transportation Engineering Abstracts ProQuest Advanced Technologies & Aerospace Collection ProQuest Central Essentials ProQuest Computer Science Collection ProQuest Central (Alumni Edition) SciTech Premium Collection ProQuest One Community College ProQuest Central China ProQuest Central ProQuest One Applied & Life Sciences ProQuest Engineering Collection Middle East & Africa Database ProQuest Central Korea ProQuest Central (New) Engineering Collection Advanced Technologies & Aerospace Collection Civil Engineering Abstracts Engineering Database ProQuest One Academic Eastern Edition ProQuest Technology Collection ProQuest SciTech Collection Advanced Technologies & Aerospace Database ProQuest One Academic UKI Edition Materials Science & Engineering Collection Engineering Research Database ProQuest One Academic ProQuest One Academic (New) |
| DatabaseTitleList | Publicly Available Content Database CrossRef |
| Database_xml | – sequence: 1 dbid: RHX name: Hindawi Publishing Open Access url: http://www.hindawi.com/journals/ sourceTypes: Publisher – sequence: 2 dbid: PIMPY name: Publicly Available Content Database url: http://search.proquest.com/publiccontent sourceTypes: Aggregation Database |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Applied Sciences |
| EISSN | 1563-5147 |
| Editor | Li, Yang |
| Editor_xml | – sequence: 1 givenname: Yang surname: Li fullname: Li, Yang |
| EndPage | 10 |
| ExternalDocumentID | 10_1155_2022_3565133 |
| GrantInformation_xml | – fundername: National Natural Science Foundation of China grantid: 11901255; 71901163 |
| GroupedDBID | 29M 2WC 3V. 4.4 5GY 5VS 8FE 8FG 8R4 8R5 AAFWJ AAJEY ABDBF ABJCF ABUWG ACIPV ACIWK ADBBV AENEX AFKRA AINHJ ALMA_UNASSIGNED_HOLDINGS ARAPS BCNDV BENPR BGLVJ BPHCQ CCPQU CS3 CWDGH E3Z EBS ESX GROUPED_DOAJ HCIFZ I-F IAO IEA IOF ISR ITC K6V K7- KQ8 L6V M7S MK~ M~E OK1 P2P P62 PIMPY PQQKQ PROAC PTHSS Q2X REM RHU RHW RHX RNS TR2 TUS XSB YQT ~8M 0R~ 24P AAMMB AAYXX ACCMX AEFGJ AFFHD AGXDD AIDQK AIDYY ALUQN CITATION H13 OVT PHGZM PHGZT PQGLB 7TB 8FD AZQEC DWQXO FR3 GNUQQ JQ2 KR7 PKEHL PQEST PQUKI PRINS |
| ID | FETCH-LOGICAL-c337t-52e19608a19b422abc324362a4b945dcfd83457ea61b0b93855dbd0f6fb819b03 |
| IEDL.DBID | RHX |
| ISICitedReferencesCount | 2 |
| ISICitedReferencesURI | http://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=Summon&SrcAuth=ProQuest&DestLinkType=CitingArticles&DestApp=WOS_CPL&KeyUT=000897047900003&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D |
| ISSN | 1024-123X |
| IngestDate | Fri Jul 25 10:04:16 EDT 2025 Sat Nov 29 06:37:41 EST 2025 Tue Nov 18 21:51:55 EST 2025 Sun Jun 02 18:51:20 EDT 2024 |
| IsDoiOpenAccess | true |
| IsOpenAccess | true |
| IsPeerReviewed | true |
| IsScholarly | true |
| Language | English |
| License | This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. https://creativecommons.org/licenses/by/4.0 |
| LinkModel | DirectLink |
| MergedId | FETCHMERGED-LOGICAL-c337t-52e19608a19b422abc324362a4b945dcfd83457ea61b0b93855dbd0f6fb819b03 |
| Notes | ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 14 |
| ORCID | 0000-0001-7630-9520 |
| OpenAccessLink | https://dx.doi.org/10.1155/2022/3565133 |
| PQID | 2749273965 |
| PQPubID | 237775 |
| PageCount | 10 |
| ParticipantIDs | proquest_journals_2749273965 crossref_citationtrail_10_1155_2022_3565133 crossref_primary_10_1155_2022_3565133 hindawi_primary_10_1155_2022_3565133 |
| PublicationCentury | 2000 |
| PublicationDate | 2022-11-28 |
| PublicationDateYYYYMMDD | 2022-11-28 |
| PublicationDate_xml | – month: 11 year: 2022 text: 2022-11-28 day: 28 |
| PublicationDecade | 2020 |
| PublicationPlace | New York |
| PublicationPlace_xml | – name: New York |
| PublicationTitle | Mathematical problems in engineering |
| PublicationYear | 2022 |
| Publisher | Hindawi John Wiley & Sons, Inc |
| Publisher_xml | – name: Hindawi – name: John Wiley & Sons, Inc |
| References | 22 23 24 25 26 27 29 K. Baker (17) 2003; 6 30 31 10 11 12 13 14 15 16 18 19 S. Sengupta (28) 2003; 2748 S. Gawiejnowicz (3) 2008 1 2 4 5 A. Agnetis (20) 2014 6 7 8 9 21 |
| References_xml | – ident: 23 doi: 10.1007/s10951-020-00656-5 – ident: 5 doi: 10.1016/j.ejor.2018.05.050 – ident: 10 doi: 10.1016/j.cie.2020.106329 – ident: 24 doi: 10.1007/s10878-021-00697-2 – ident: 16 doi: 10.1142/s0217595921400030 – ident: 14 doi: 10.1016/j.ejor.2018.07.038 – ident: 25 doi: 10.1016/j.apm.2014.07.024 – ident: 6 doi: 10.1007/s10951-019-00630-w – ident: 22 doi: 10.1007/s10878-014-9744-y – ident: 31 doi: 10.1145/321921.321934 – ident: 8 doi: 10.1016/j.omega.2016.07.006 – ident: 12 doi: 10.1007/s10951-012-0303-z – ident: 18 doi: 10.1287/opre.1030.0092 – volume-title: Multiagent Scheduling-Models and Algorithms year: 2014 ident: 20 doi: 10.1007/978-3-642-41880-8 – ident: 15 doi: 10.1007/s10878-020-00642-9 – ident: 11 doi: 10.1137/s0895480196300522 – ident: 26 doi: 10.1016/j.tcs.2017.09.004 – ident: 19 doi: 10.1016/j.ejor.2013.09.017 – volume-title: Time-Dependent Scheduling year: 2008 ident: 3 doi: 10.1007/978-3-540-69446-5_5 – ident: 13 doi: 10.1007/978-3-030-93176-6_9 – ident: 21 doi: 10.1016/j.ejor.2020.07.064 – ident: 30 doi: 10.1287/opre.1090.0751 – ident: 4 doi: 10.1007/s10878-010-9364-0 – volume: 2748 start-page: 79 year: 2003 ident: 28 article-title: Algorithms and approximation schemes for minimum lateness/tardiness scheduling with rejection publication-title: Lecture Notes in Computer Science doi: 10.1007/978-3-540-45078-8_8 – ident: 27 doi: 10.1016/j.omega.2020.102313 – ident: 29 doi: 10.1016/s0196-6774(03)00078-6 – ident: 9 doi: 10.1007/s11590-019-01526-6 – volume: 6 start-page: 7 year: 2003 ident: 17 article-title: A multiple-criterion model for machine scheduling publication-title: Journal of Scheduling doi: 10.1023/A:1022231419049 – ident: 1 doi: 10.1016/0360-8352(88)90041-1 – ident: 7 doi: 10.1080/0305215x.2021.1876041 – ident: 2 doi: 10.1287/opre.38.3.495 |
| SSID | ssj0021518 |
| Score | 2.3039687 |
| Snippet | We consider two two-agent scheduling problems with deteriorating jobs and rejection. Two agents A and B compete for the usage of a single machine. The actual... We consider two two-agent scheduling problems with deteriorating jobs and rejection. Two agents A and B compete for the usage of a single machine. The actual... |
| SourceID | proquest crossref hindawi |
| SourceType | Aggregation Database Enrichment Source Index Database Publisher |
| StartPage | 1 |
| SubjectTerms | Algorithms Approximation Completion time Dynamic programming Mathematical analysis Polynomials Rejection Schedules Scheduling Upper bounds |
| SummonAdditionalLinks | – databaseName: Engineering Database (subscription) dbid: M7S link: http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV3NS8MwFA86Fbw4P3E6JYd5krK2adrmJMMPVHSIm7JbSZqUTUY71-n-fV-ybCKiHrymjxD6XvJ7v-R9INSIKA99cIccznnkBABIjoiArISexwkgmFTmueD5Lmq3416PPdgLt9KGVc7PRHNQyyLVd-RNYE8MoJaF9Gz06uiuUfp11bbQWEYrukqCZ0L3OgvCBSOzVDhf1-YjvXngO6Wa8_tNAt6MR8gXSFrray48HXw7mw3gXFX_u9RNtGFdTdya2cYWWlL5NqpatxPbTV3uoJvutHBaOsUKdwDIhgrfmwhLBTJ9QCKdsI71fS2-0LEzA2M0MHRbiBLzXOJH9WICuvJd9HR12T2_dmyHBSclJJoAC1WwA92Ye0wEvs9FCv4VQBoPBAuoTDMZk4BGioeecAUjMaVSSDcLMwGehHDJHqrkRa72EXYVYdwPQmDUKghoygiRknuZEiKC-cMaOp3_5CS15cd1F4xhYmgIpYlWSWJVUkMnC-nRrOzGD3INq68_xOpzTSV2j5bJp5oOfv98iNb1ZDoD0Y_rqDIZv6kjtJq-Twbl-NiY3Ad8Mtn2 priority: 102 providerName: ProQuest |
| Title | Two-Agent Single Machine Scheduling with Deteriorating Jobs and Rejection |
| URI | https://dx.doi.org/10.1155/2022/3565133 https://www.proquest.com/docview/2749273965 |
| Volume | 2022 |
| WOSCitedRecordID | wos000897047900003&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: Computer Science Database customDbUrl: eissn: 1563-5147 dateEnd: 20250131 omitProxy: false ssIdentifier: ssj0021518 issn: 1024-123X databaseCode: K7- dateStart: 20080101 isFulltext: true titleUrlDefault: http://search.proquest.com/compscijour providerName: ProQuest – providerCode: PRVPQU databaseName: Engineering Database customDbUrl: eissn: 1563-5147 dateEnd: 20250131 omitProxy: false ssIdentifier: ssj0021518 issn: 1024-123X databaseCode: M7S dateStart: 20080101 isFulltext: true titleUrlDefault: http://search.proquest.com providerName: ProQuest – providerCode: PRVPQU databaseName: Middle East & Africa Database customDbUrl: eissn: 1563-5147 dateEnd: 20250131 omitProxy: false ssIdentifier: ssj0021518 issn: 1024-123X databaseCode: CWDGH dateStart: 20080101 isFulltext: true titleUrlDefault: https://search.proquest.com/middleeastafrica providerName: ProQuest – providerCode: PRVPQU databaseName: ProQuest advanced technologies & aerospace journals customDbUrl: eissn: 1563-5147 dateEnd: 20250131 omitProxy: false ssIdentifier: ssj0021518 issn: 1024-123X databaseCode: P5Z dateStart: 20080101 isFulltext: true titleUrlDefault: https://search.proquest.com/hightechjournals providerName: ProQuest – providerCode: PRVPQU databaseName: ProQuest Central customDbUrl: eissn: 1563-5147 dateEnd: 20250131 omitProxy: false ssIdentifier: ssj0021518 issn: 1024-123X databaseCode: BENPR dateStart: 20080101 isFulltext: true titleUrlDefault: https://www.proquest.com/central providerName: ProQuest – providerCode: PRVPQU databaseName: Publicly Available Content Database customDbUrl: eissn: 1563-5147 dateEnd: 20250131 omitProxy: false ssIdentifier: ssj0021518 issn: 1024-123X databaseCode: PIMPY dateStart: 20080101 isFulltext: true titleUrlDefault: http://search.proquest.com/publiccontent providerName: ProQuest – providerCode: PRVWIB databaseName: Wiley Open Access customDbUrl: eissn: 1563-5147 dateEnd: 99991231 omitProxy: false ssIdentifier: ssj0021518 issn: 1024-123X databaseCode: 24P dateStart: 19950101 isFulltext: true titleUrlDefault: https://authorservices.wiley.com/open-science/open-access/browse-journals.html providerName: Wiley-Blackwell |
| link | http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwjV1LT8JAEJ4IauLFtxFFsgc8mca22-3jiArxBWkADXppdtttxJhiKMrfd7YsJEqMXpq0ne5hptvv-7ozswB1j3HXRjpkcM49w0FAMoSHYsW1LE4RwRJZLBc83nudjj8YBKFukpQvL-Ej2il5bp9TJB4op0pQ8pnK3OpeDxa6CkFrVvFmqxZ8dDDPb__x7DfkWX9Rknc6XPoEF7jS2oZNTQhJYxbBHViR2S5saXJI9NTL9-CmPx0ZDVUIRXoIN2-StIs8SIk2L4gXqqycqL-q5EpluAyL0OKl25HICc8S0pWvRdpVtg8PrWb_8trQ-yAYMaXeBLWixHli-twKhGPbXMTIghB4uCMChyVxmvjUYZ7kriVMEVCfsUQkZuqmAvFemPQAytkok4dATEkDbjsu6l7pOCwOKE0SbqVSCA_HdytwNvdRFOsm4WqvireoEAuMRcqjkfZoBU4X1u-z5hi_2NW1u_8wq85jEemZlEeomgOkWIHLjv43yjFsqFNVL2j7VShPxh_yBNbiz8kwH9dg9aLZCbs1KN15Rk1levbwGLJnvBPetMOnWvFufQGicb8C |
| linkProvider | Hindawi Publishing |
| linkToHtml | http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMw1V1LT9wwEB5RaFUuPFpQefsApyoi8SN2DgghHmLZZVW1C9pbsGOv2AplKVlY8af4jYyzCahChROHXpORpcSf55vPnvEAbEqhY4rhUKC1lgFHQgqMRLESR5FmyGDWlccF5y3ZbqtuN_kxAQ91LYxPq6x9Yumo7SDze-TbqJ4SpNokFrvXfwLfNcqfrtYtNMawaLr7EUq2YqdxgPO7RenRYWf_OKi6CgQZY3KIyssh6kKlo8RwSrXJMKZAN665SbiwWc8qxoV0Oo5MaBKmhLDGhr24Z5A9Tchw3A8wxZmSfl01ZfAk8JA9x6V31N8FyLp1or0Qfo-BbjOMniLG_qLAT5dee4_6L7igJLij2f_t18zBTBVKk70x9udhwuVfYLYKq0nltIqv0OiMBsGeLyEjv5Corxw5LTNIHdpcItP6gnzi96PJgc8N6peLAh-dDExBdG7JT_e7TFjLF-DsXT5oESbzQe6-AQkdSzTlsVLKcS6yhDFrddRzxkgcP16C7_Wkpll1vbrv8nGVljJLiNRDIK0gsARbT9bX42tF_mG3WeHjDbPVGhlp5YOK9BkWy6-_3oDPx53TVtpqtJsrMO0H9tWWVK3C5PDm1q3Bx-xu2C9u1ku4E7h4bxA9AijaNaw |
| linkToPdf | http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMw1V3Pb9MwFH4qZaBdKD-1Qhk-dCcUNbHj_DigqaJU61qqCsZU7ZLZsaMVTWnXdFT8a_vreE6dTgjBTjtwTZ4sJf78vvfZ7_kBtEMuAorhkCOECB0fCcmRIYqVwPMEQwZTujwuOB2F43E0ncaTGtxUtTAmrbLyiaWjVvPU7JF3UD3FSLVxwDuZTYuY9PqHiyvHdJAyJ61VO40NRIb65xrlW_Fh0MO5PqC0_-nk45FjOww4KWPhClWYRgS6kfBi6VMqZIrxBbp04cvY5yrNVMR8HmoReNKVMYs4V1K5WZBJZFLpMhz3ATwMUWOadMIJP9uKPWTSTRkeNfcCsmmVdM-52W-gHYaRlMfYb3T46MLo8PXsD14oya7f-J9_01N4YkNs0t2siWdQ0_lzaNhwm1hnVryAwcl67nRNaRn5igR-qcnnMrNUo80FMrAp1Cdmn5r0TM7QrFws-Oh4LgsickW-6O9lIlv-Er7dywe9gno-z_UeEFezWFA_iKJI-z5PY8aUEl6mpQxx_KAJ76sJTlJ77brp_nGZlPKL88TAIbFwaMLB1nqxuW7kL3Zti5U7zFoVShLrm4rkFiKv__36HTxG7CSjwXj4BnbNuKYIk0YtqK-W1_ot7KQ_VrNiuV8in8D5fWPoF5EkPtA |
| 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=Two-Agent+Single+Machine+Scheduling+with+Deteriorating+Jobs+and+Rejection&rft.jtitle=Mathematical+problems+in+engineering&rft.au=Li%2C+Dawei&rft.au=Li%2C+Ganggang&rft.au=Cheng%2C+Fangzheng&rft.date=2022-11-28&rft.pub=Hindawi&rft.issn=1024-123X&rft.eissn=1563-5147&rft.volume=2022&rft_id=info:doi/10.1155%2F2022%2F3565133&rft.externalDocID=10_1155_2022_3565133 |
| thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=1024-123X&client=summon |
| thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=1024-123X&client=summon |
| thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=1024-123X&client=summon |