THE FLOWSHOP SEQUENCING PROBLEM FOR REPETITIVE JOBS UNDER A HEIJUNKA ENVIRONMENT: A MATHEMATICAL PROGRAMMING MODEL

TONCOVICH, ADRIÁN ANDRÉS; ROSSIT, DANIEL ALEJANDRO; VILLARREAL, FERNANDA

Congreso; XXI SEPROSUL Semana de Engenharia de Produção e Mecânica Sulamericana; 2023

This work presents the sequencing problem in a flowshop environment, considering non-unit demands for jobs, with the objectives of minimizing the total completion time of all jobs (C_max) and maintaining a leveled production mix throughout the sequence (heijunka). To formulate the problem, a mathematical programming model was proposed. The bi-objective model generates a set of non-dominated solutions that provides an approximation to the Pareto optimal frontier. A preliminary experimental study was conducted to evaluate the performance of the employed model, using a set of test problems, yielding satisfactory results. Through the solution strategy employed, sequences can be selected to provide a proper balance between reducing production lead times and maintaining material flow stability within the facility.