A computational study of the general lot-sizing and scheduling model under demand uncertainty via robust and stochastic approaches

2018 ◽  
Vol 90 ◽  
pp. 125-141 ◽  
Author(s):  
Douglas Alem ◽  
Eduardo Curcio ◽  
Pedro Amorim ◽  
Bernardo Almada-Lobo
Keyword(s):  
Demand Uncertainty ◽  
Lot Sizing ◽  
Computational Study ◽  
Scheduling Model ◽  
Lot Sizing And Scheduling

scholarly journals A framework for developing lot-sizing and scheduling model for multiproduct

2020 ◽  
Vol 796 ◽  
pp. 012009
Author(s):  
Huda Muhamad Badri ◽  
Nor Kamaliana Khamis ◽  
Mariyam Jameelah Ghazali
Keyword(s):  
Lot Sizing ◽  
Scheduling Model ◽  
Lot Sizing And Scheduling

scholarly journals Application of Interval Arithmetic to Production Planning in a Foundry

2017 ◽  
Vol 17 (1) ◽  
pp. 41-44
Author(s):  
J. Duda ◽  
A. Stawowy
Keyword(s):  
Production Planning ◽  
Interval Arithmetic ◽  
Lot Sizing ◽  
Accurate Information ◽  
Test Problems ◽  
Planning And Scheduling ◽  
Production Planning And Scheduling ◽  
Scheduling Model ◽  
Novel Approach ◽  
Lot Sizing And Scheduling

Abstract A novel approach for treating the uncertainty about the real levels of finished products during production planning and scheduling process is presented in the paper. Interval arithmetic is used to describe uncertainty concerning the production that was planned to cover potential defective products, but meets customer’s quality requirement and can be delivered as fully valuable products. Interval lot sizing and scheduling model to solve this problem is proposed, then a dedicated version of genetic algorithm that is able to deal with interval arithmetic is used to solve the test problems taken from a real-world example described in the literature. The achieved results are compared with a standard approach in which no uncertainty about real production of valuable castings is considered. It has been shown that interval arithmetic can be a valuable method for modeling uncertainty, and proposed approach can provide more accurate information to the planners allowing them to take more tailored decisions.

scholarly journals Optimization models for a lot sizing and scheduling problem on parallel production lines that share scarce resources

2021 ◽  
Author(s):  
Willy Alves de Oliveira Soler ◽  
Maristela Oliveira Santos ◽  
Maria do Socorro Nogueira Rangel
Keyword(s):  
Lot Sizing ◽  
Computational Study ◽  
Mixed Integer ◽  
Optimization Models ◽  
Scheduling Problem ◽  
Production Lines ◽  
Commodity Flow ◽  
Scarce Resources ◽  
Computational Performance ◽  
Lot Sizing And Scheduling

The purpose of this paper is to propose mathematical models to represent a lot sizing and scheduling problem on multiple production lines that share scarce resources and to investigate the computational performance of the proposed models. The main feature that differentiates this problem from others in the literature is that the decision on which lines to organize should be taken considering the availability of the necessary resources. The optimization criterion is the minimization of the costs incurred in the production process (inventory, backlogging, organization of production lines, and sequence-dependent setup costs). Nine mixed integer optimization models to represent the problem are given and, also, the results of an extensive computational study carried out using a set of instances from the literature. The computational study indicates that an efficient formulation, able to provide high quality solutions for large sized instances, can be obtained from a classical model by making the binary production variables explicit, using the facility location reformulation as well as the single commodity flow constraints to eliminate subsequences. Moreover, from the results, it is also clear that the consideration of scarce resources makes the problem significantly more difficult than the traditional one.

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