Exact Mixed Integer Programming for Integrated Scheduling and Process Planning in Flexible Environment

This paper presented a mixed integer programming for integrated scheduling and process planning. The presented process plan included some orders with precedence relations similar to Multiple Traveling Salesman Problem (MTSP), which was categorized as an NP-hard problem. These types of problems are a...

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Main Authors: Mohammad Saidi Mehrabad, Saeed Zarghami
Format: Article
Language:English
Published: Islamic Azad University, Qazvin Branch 2014-09-01
Series:Journal of Optimization in Industrial Engineering
Subjects:
Online Access:http://www.qjie.ir/article_155_6cca3c27a9a83a59477dd63a5aa01b9a.pdf
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author Mohammad Saidi Mehrabad
Saeed Zarghami
author_facet Mohammad Saidi Mehrabad
Saeed Zarghami
author_sort Mohammad Saidi Mehrabad
collection DOAJ
description This paper presented a mixed integer programming for integrated scheduling and process planning. The presented process plan included some orders with precedence relations similar to Multiple Traveling Salesman Problem (MTSP), which was categorized as an NP-hard problem. These types of problems are also called advanced planning because of simultaneously determining the appropriate sequence and minimizing makespan in the process of scheduling. There are alternative machines for each operation and different sequences for each order, which create a flexible environment for production planning. In process planning ansd integrated scheduling, most mathematical models have two sets of ordered pairs with precedence or non-precedence relations between operations; therefore, these models cannot be solved using optimization software. Therefore, in this paper, this problem was modeled by a new approach and solved by GAMS software. The model was validated by the existing data in the literature.
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spelling doaj.art-56a1cfd6e4a9481cb75fd64104a62a092022-12-21T18:41:07ZengIslamic Azad University, Qazvin BranchJournal of Optimization in Industrial Engineering2251-99042423-39352014-09-017154753155Exact Mixed Integer Programming for Integrated Scheduling and Process Planning in Flexible EnvironmentMohammad Saidi Mehrabad0Saeed Zarghami1Professor, university of science and technology, Tehran, IranMSc. , university of science and technology, Tehran, IranThis paper presented a mixed integer programming for integrated scheduling and process planning. The presented process plan included some orders with precedence relations similar to Multiple Traveling Salesman Problem (MTSP), which was categorized as an NP-hard problem. These types of problems are also called advanced planning because of simultaneously determining the appropriate sequence and minimizing makespan in the process of scheduling. There are alternative machines for each operation and different sequences for each order, which create a flexible environment for production planning. In process planning ansd integrated scheduling, most mathematical models have two sets of ordered pairs with precedence or non-precedence relations between operations; therefore, these models cannot be solved using optimization software. Therefore, in this paper, this problem was modeled by a new approach and solved by GAMS software. The model was validated by the existing data in the literature.http://www.qjie.ir/article_155_6cca3c27a9a83a59477dd63a5aa01b9a.pdfIntegrated scheduling and process planningMakespanFlexible manufacturing
spellingShingle Mohammad Saidi Mehrabad
Saeed Zarghami
Exact Mixed Integer Programming for Integrated Scheduling and Process Planning in Flexible Environment
Journal of Optimization in Industrial Engineering
Integrated scheduling and process planning
Makespan
Flexible manufacturing
title Exact Mixed Integer Programming for Integrated Scheduling and Process Planning in Flexible Environment
title_full Exact Mixed Integer Programming for Integrated Scheduling and Process Planning in Flexible Environment
title_fullStr Exact Mixed Integer Programming for Integrated Scheduling and Process Planning in Flexible Environment
title_full_unstemmed Exact Mixed Integer Programming for Integrated Scheduling and Process Planning in Flexible Environment
title_short Exact Mixed Integer Programming for Integrated Scheduling and Process Planning in Flexible Environment
title_sort exact mixed integer programming for integrated scheduling and process planning in flexible environment
topic Integrated scheduling and process planning
Makespan
Flexible manufacturing
url http://www.qjie.ir/article_155_6cca3c27a9a83a59477dd63a5aa01b9a.pdf
work_keys_str_mv AT mohammadsaidimehrabad exactmixedintegerprogrammingforintegratedschedulingandprocessplanninginflexibleenvironment
AT saeedzarghami exactmixedintegerprogrammingforintegratedschedulingandprocessplanninginflexibleenvironment