Integrated lot-sizing and one-dimensional cutting stock problem with usable leftovers

Author(s)

do Nascimento, D. N. ; de Araujo, S. A. ; Cherri, A. C.

• Document type: Journal article
• Source: ANNALS OF OPERATIONS RESEARCH; v. 316, n. 2, p. 19-pg., 2020-08-25.

Abstract

This paper addresses the integration of the lot-sizing problem and the one-dimensional cutting stock problem with usable leftovers (LSP-CSPUL). This integration aims to minimize the cost of cutting items from objects available in stock, allowing the bringing forward production of items that have known demands in a future planning horizon. The generation of leftovers, that will be used to cut future items, is also allowed and these leftovers are not considered waste in the current period. Inventory costs for items and leftovers are also considered. A mathematical model for the LSP-CSPUL is proposed to represent this problem and an approach, using the simplex method with column generation, is proposed to solve the linear relaxation of this model. A heuristic procedure, based on arelax-and-fixstrategy, was also proposed to find integer solutions. Computational tests were performed and the results show the contributions of the proposed mathematical model, as well as, the quality of the solutions obtained using the proposed method. (AU)

• FAPESP's process: 13/07375-0 - CeMEAI - Center for Mathematical Sciences Applied to Industry
• Grantee: Francisco Louzada Neto
• Support Opportunities: Research Grants - Research, Innovation and Dissemination Centers - RIDC
• FAPESP's process: 18/16600-0 - The two-dimensional cutting stock problem with usable leftovers and demand uncertainty
• Grantee: Douglas Nogueira Do Nascimento
• Support Opportunities: Scholarships in Brazil - Doctorate (Direct)
• FAPESP's process: 16/01860-1 - Cutting, packing, lot-sizing, scheduling, routing and location problems and their integration in industrial and logistics settings
• Grantee: Reinaldo Morabito Neto
• Support Opportunities: Research Projects - Thematic Grants