Integration of Lot Sizing and Flow Shop Scheduling with Lot Streaming
We will develop a mathematical model for the integration of lot sizing and flow shop scheduling with lot streaming. We will develop a mixed-integer linear model for multiple products lot sizing and lot streaming problems. Mixed-integer programming formulation is presented which will enable the user...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/216595 |
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| _version_ | 1849435417960513536 |
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| author | Navid Mortezaei Norzima Zulkifli |
| author_facet | Navid Mortezaei Norzima Zulkifli |
| author_sort | Navid Mortezaei |
| collection | DOAJ |
| description | We will develop a mathematical model for the integration of lot sizing and flow shop scheduling with lot streaming. We will develop a mixed-integer linear model for multiple products lot sizing and lot streaming problems. Mixed-integer programming formulation is presented which will enable the user to find optimal production quantities, optimal inventory levels, optimal sublot sizes, and optimal sequence simultaneously. We will use numerical example to show practicality of the proposed model. We test eight different lot streaming problems: (1) consistent sublots with intermingling, (2) consistent sublots and no intermingling between sublots of the products (without intermingling), (3) equal sublots with intermingling, (4) equal sublots without intermingling, (5) no-wait consistent sublots with intermingling, (6) no-wait equal sublots with intermingling, (7) no-wait consistent sublots without intermingling, and (8) no-wait equal sublots without intermingling. We showed that the best makespan can be achieved through the consistent sublots with intermingling case. |
| format | Article |
| id | doaj-art-def3d338a9484e49b7df0863e5bc46ce |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-def3d338a9484e49b7df0863e5bc46ce2025-08-20T03:26:16ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/216595216595Integration of Lot Sizing and Flow Shop Scheduling with Lot StreamingNavid Mortezaei0Norzima Zulkifli1Department of Mechanical and Manufacturing Engineering, Universiti Putra Malaysia, 43400 Serdang, Selangor, MalaysiaDepartment of Mechanical and Manufacturing Engineering, Universiti Putra Malaysia, 43400 Serdang, Selangor, MalaysiaWe will develop a mathematical model for the integration of lot sizing and flow shop scheduling with lot streaming. We will develop a mixed-integer linear model for multiple products lot sizing and lot streaming problems. Mixed-integer programming formulation is presented which will enable the user to find optimal production quantities, optimal inventory levels, optimal sublot sizes, and optimal sequence simultaneously. We will use numerical example to show practicality of the proposed model. We test eight different lot streaming problems: (1) consistent sublots with intermingling, (2) consistent sublots and no intermingling between sublots of the products (without intermingling), (3) equal sublots with intermingling, (4) equal sublots without intermingling, (5) no-wait consistent sublots with intermingling, (6) no-wait equal sublots with intermingling, (7) no-wait consistent sublots without intermingling, and (8) no-wait equal sublots without intermingling. We showed that the best makespan can be achieved through the consistent sublots with intermingling case.http://dx.doi.org/10.1155/2013/216595 |
| spellingShingle | Navid Mortezaei Norzima Zulkifli Integration of Lot Sizing and Flow Shop Scheduling with Lot Streaming Journal of Applied Mathematics |
| title | Integration of Lot Sizing and Flow Shop Scheduling with Lot Streaming |
| title_full | Integration of Lot Sizing and Flow Shop Scheduling with Lot Streaming |
| title_fullStr | Integration of Lot Sizing and Flow Shop Scheduling with Lot Streaming |
| title_full_unstemmed | Integration of Lot Sizing and Flow Shop Scheduling with Lot Streaming |
| title_short | Integration of Lot Sizing and Flow Shop Scheduling with Lot Streaming |
| title_sort | integration of lot sizing and flow shop scheduling with lot streaming |
| url | http://dx.doi.org/10.1155/2013/216595 |
| work_keys_str_mv | AT navidmortezaei integrationoflotsizingandflowshopschedulingwithlotstreaming AT norzimazulkifli integrationoflotsizingandflowshopschedulingwithlotstreaming |