A computational study of the influence of the parameter big-M in a time-indexed MILP for assembly flowshop

Authors

Keywords:

Mixed Integer Linear Programming, Scheduling, Assembly Flowshop, big-M influence

Abstract

In this paper, a mixed integer linear programming model was proposed to solve the assembly flowshop scheduling problem. The objective of the study was to evaluate the impact on computational time (CPU) from the variation of the value of the big-M parameter considering three different dimensions. The performance of the mathematical model was evaluated from the application of a commercial solver that has different strategies in search of the optimal solution. 240 test-problems were solved on the optimality in an acceptable computational time, with the number of jobs ranging from 4 to 8, the number of products from 2 to 4 and the number of machines from 1 to 4. The performance profiles of Dolan and More (2002) were employed for a more accurate statistical analysis of the results, which indicated the most efficient value for the big-M parameter in the proposed mathematical formulation.

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Author Biographies

José Renatho da Silva Santana, Universidade Federal de Goiás - UFG

Production Engineer graduated from the Pontifical Catholic University of Goiás. Student in the Master's Program in Production Engineering at the Faculty of Science and Technology (FCT) at UFG. Works as a researcher in the field of Production Sequencing (Scheduling). Has knowledge in project management with a focus on Agile Methodologies. He currently works as a project manager in a consulting and advisory company for companies with e-commerce. Developed research and extension project in a food industry with a focus on reducing costs and waste, as well as having experience in developing projects focused on Lean Manufacturing and people management in the application of agile routines focused on strategic and operational results in companies of different segments.

Hélio Yochihiro Fuchigami, Universidade Federal de Goiás - UFG

Professor and researcher at the Federal University of Goiás (UFG). Coordinator of the Master's Degree in Production Engineering at the Faculty of Science and Technology (FCT) at UFG. Professor at the Production Engineering course at Campus Aparecida de Goiânia and at the Master's in Public Administration Network (PROFIAP). Works in the Production Sequencing (Scheduling) and Operational Research area. Computer Scientist at UNESP, Master and Doctor in Production Engineering at USP, with part of his doctorate at the Polytechnic University of Valencia, Spain. Post-doctorate at the University of New South Wales (Australian Defense Force Academy) in Australia and at UNESP/São José do Rio Preto. Master's advisor, specialization, scientific and technological initiation, course conclusion work and internship. Chronicler and poet, with three published books.

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Published

2022-01-13

How to Cite

da Silva Santana, J. R., & Yochihiro Fuchigami, H. (2022). A computational study of the influence of the parameter big-M in a time-indexed MILP for assembly flowshop. IEEE Latin America Transactions, 20(5), 848–854. Retrieved from https://latamt.ieeer9.org/index.php/transactions/article/view/6142