Mixed integer formulation for integration of lot sizing and lot streaming problem with scheduled preventive maintenance
In this study, a mathematical model for the integration of lot sizing and flow shop scheduling with lot streaming was proposed. A mixed-integer linear model for multi-product lot sizing and lot streaming problem was developed. Mixed-integer programming formulation is proposed which will enable user...
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Maxwell Science Publications
2014
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author | Mortezaei, Navid Zulkifli, Norzima |
author_facet | Mortezaei, Navid Zulkifli, Norzima |
author_sort | Mortezaei, Navid |
collection | UPM |
description | In this study, a mathematical model for the integration of lot sizing and flow shop scheduling with lot streaming was proposed. A mixed-integer linear model for multi-product lot sizing and lot streaming problem was developed. Mixed-integer programming formulation is proposed which will enable user to identify optimal production quantities, inventory levels, sub lot sizes and sequences simultaneously. Two situations where considered: 1) all machines are available and 2) all machines need preventive maintenance tasks. For both situations a new mixed-integer formulation is developed. To demonstrate the practicality of the proposed model, numerical example was used. It is shown that, the best makespan can be achieved through consistent sublots with intermingling cases as compared to non-intermingling cases. |
first_indexed | 2024-03-06T08:29:17Z |
format | Article |
id | upm.eprints-34534 |
institution | Universiti Putra Malaysia |
last_indexed | 2024-03-06T08:29:17Z |
publishDate | 2014 |
publisher | Maxwell Science Publications |
record_format | dspace |
spelling | upm.eprints-345342015-12-16T00:30:07Z http://psasir.upm.edu.my/id/eprint/34534/ Mixed integer formulation for integration of lot sizing and lot streaming problem with scheduled preventive maintenance Mortezaei, Navid Zulkifli, Norzima In this study, a mathematical model for the integration of lot sizing and flow shop scheduling with lot streaming was proposed. A mixed-integer linear model for multi-product lot sizing and lot streaming problem was developed. Mixed-integer programming formulation is proposed which will enable user to identify optimal production quantities, inventory levels, sub lot sizes and sequences simultaneously. Two situations where considered: 1) all machines are available and 2) all machines need preventive maintenance tasks. For both situations a new mixed-integer formulation is developed. To demonstrate the practicality of the proposed model, numerical example was used. It is shown that, the best makespan can be achieved through consistent sublots with intermingling cases as compared to non-intermingling cases. Maxwell Science Publications 2014 Article PeerReviewed Mortezaei, Navid and Zulkifli, Norzima (2014) Mixed integer formulation for integration of lot sizing and lot streaming problem with scheduled preventive maintenance. Research Journal of Applied Sciences, Engineering and Technology, 7 (12). pp. 2563-2568. ISSN 2040-7459; ESSN: 2040-7467 http://www.maxwellsci.com/jp/abstract.php?jid=RJASET&no=418&abs=26 |
spellingShingle | Mortezaei, Navid Zulkifli, Norzima Mixed integer formulation for integration of lot sizing and lot streaming problem with scheduled preventive maintenance |
title | Mixed integer formulation for integration of lot sizing and lot streaming problem with scheduled preventive maintenance |
title_full | Mixed integer formulation for integration of lot sizing and lot streaming problem with scheduled preventive maintenance |
title_fullStr | Mixed integer formulation for integration of lot sizing and lot streaming problem with scheduled preventive maintenance |
title_full_unstemmed | Mixed integer formulation for integration of lot sizing and lot streaming problem with scheduled preventive maintenance |
title_short | Mixed integer formulation for integration of lot sizing and lot streaming problem with scheduled preventive maintenance |
title_sort | mixed integer formulation for integration of lot sizing and lot streaming problem with scheduled preventive maintenance |
work_keys_str_mv | AT mortezaeinavid mixedintegerformulationforintegrationoflotsizingandlotstreamingproblemwithscheduledpreventivemaintenance AT zulkiflinorzima mixedintegerformulationforintegrationoflotsizingandlotstreamingproblemwithscheduledpreventivemaintenance |