LAPSE:2021.0238
Published Article
LAPSE:2021.0238
Material Requirements Planning Using Variable-Sized Bin-Packing Problem Formulation with Due Date and Grouping Constraints
Dejan Gradišar, Miha Glavan
April 27, 2021
Correct planning is crucial for efficient production and best quality of products. The planning processes are commonly supported with computer solutions; however manual interactions are commonly needed, as sometimes the problems do not fit the general-purpose planning systems. The manual planning approach is time consuming and prone to errors. Solutions to automatize structured problems are needed. In this paper, we deal with material requirements planning for a specific problem, where a group of work orders for one product must be produced from the same batch of material. The presented problem is motivated by the steel-processing industry, where raw materials defined in a purchase order must be cut in order to satisfy the needs of the planned work order while also minimizing waste (leftover) and tardiness, if applicable. The specific requirements of the problem (i.e., restrictions of which work orders can be produced from a particular group of raw materials) does not fit the regular planning system used by the production company, therefore a case-specific solution was developed that can be generalized also to other similar cases. To solve this problem, we propose using the generalized bin-packing problem formulation which is described as an integer programming problem. An extension of the bin-packing problem formulation was developed based on: (i) variable bin sizes, (ii) consideration of time constraints and (iii) grouping of items/bins. The method presented in the article can be applied for small- to medium-sized problems as first verified by several examples of increasing complexity and later by an industrial case study.
Keywords
bin-packing problem, material requirements planning, mixed-integer linear programming
Suggested Citation
Gradišar D, Glavan M. Material Requirements Planning Using Variable-Sized Bin-Packing Problem Formulation with Due Date and Grouping Constraints. (2021). LAPSE:2021.0238
Author Affiliations
Gradišar D: Department of Systems and Control, Jožef Stefan Institute, 1000 Ljubljana, Slovenia [ORCID]
Glavan M: Department of Systems and Control, Jožef Stefan Institute, 1000 Ljubljana, Slovenia
Journal Name
Processes
Volume
8
Issue
10
Article Number
E1246
Year
2020
Publication Date
2020-10-02
Published Version
ISSN
2227-9717
Version Comments
Original Submission
Other Meta
PII: pr8101246, Publication Type: Journal Article
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LAPSE:2021.0238
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doi:10.3390/pr8101246
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Apr 27, 2021
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Apr 27, 2021
 
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Calvin Tsay
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