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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Main Authors: Mortezaei, Navid, Zulkifli, Norzima
Format: Article
Published: 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.
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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