Models for capacitated lot-sizing problem with backlogging, setup carryover and crossover

Márcio AF Belo-Filho, Franklina MB Toledo and Bernardo Almada-Lobo
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Márcio AF Belo-Filho: Universidade de São Paulo, São Paulo, Brasil
Franklina MB Toledo: Universidade de São Paulo, São Paulo, Brasil
Bernardo Almada-Lobo: Universidade do Porto, Porto, Portugal

Journal of the Operational Research Society, 2014, vol. 65, issue 11, 1735-1747

Abstract: Setup operations are significant in some production environments. It is mandatory that their production plans consider some features, as setup state conservation across periods through setup carryover and crossover. The modelling of setup crossover allows more flexible decisions and is essential for problems with long setup times. This paper proposes two models for the capacitated lot-sizing problem with backlogging and setup carryover and crossover. The first is in line with other models from the literature, whereas the second considers a disaggregated setup variable, which tracks the starting and completion times of the setup operation. This innovative approach permits a more compact formulation. Computational results show that the proposed models have outperformed other state-of-the-art formulation.

Date: 2014
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