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Operations planning test bed under rolling horizons, multiproduct, multiechelon, multiprocess for capacitated production planning modelling with strokes

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Abstract

One of the problems when conducting research in mathematical programming models for operations planning is having an adequate database of experiments that can be used to verify advances and developments with enough factors to understand different consequences. This paper presents a test bed generator and instances database for a rolling horizons analysis for multiechelon planning, multiproduct with alternatives processes, multistroke, multicapacity with different stochastic demand patterns to be used with a stroke-like bill of materials considering production costs, setup, storage and delays for operations management. From the analysis of the operations planning obtained from this test bed, it is concluded that a product structure with an alternative process obtains the lowest total cost and the highest service level. In addition, decreasing seasonal demand could present a lower total cost than constant demand, but would generate a worse service level. This test bed will allow researchers further investigation so as to verify improvements in forecast methods, rolling horizons parameters, employed software, etc.

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Fig. 1

Source: adapted from Sahin et al. (2013)

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Source: the Authors based on Coronado-Hernández (2016) and own work

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Source: the Authors according to Newman (2005)

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Source: the Authors using Statgraphics Centurion XVII®

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Source: the Authors using Statgraphics Centurion XVII®

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Source: the Authors using Statgraphics Centurion XVII®

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Source: the Authors using Statgraphics Centurion XVII®

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Source: the Authors using Statgraphics Centurion XVII®

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Source: the Authors

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Source: the Authors with Statgraphics Centurion XVII®

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Source: the Authors with the Statgraphics Centurion XVII®

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Source: the Authors with Statgraphics Centurion XVII®

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Source: the Authors with Statgraphics Centurion XVII®

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Source: the Authors with Statgraphics Centurion XVII®

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Notes

  1. Twelve instances are carried out for each combination of factors, given the recommendation to perform between nine and fifteen, and that it is more important to validate the results than to increase the number of observations (Hair et al. 1999).

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Correspondence to G. Rius-Sorolla.

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Appendix: File structure of the instance test bed

Appendix: File structure of the instance test bed

Instances are created in text files with extension.csv. Each field in the file is separated by a semicolon or a line break.

Instances present data according to a uniform structure of:

  • The description of the parameters selected for the instance is between lines 1–6 of each file. An example is shown below:

    • Pareto;Par00.

    • Tipo_demanda;ST.

    • Incertidumbre;CV10.

    • BOM;P1.

    • Saturacion;R00.

  • The characteristics and calculation parameters proposed for the instance are between lines 7 and 16 of each file. An example is shown below:

    • Productos_padre;10.

    • Productos;50.

    • Periodos;8

    • Rodantes;52.

    • RodantesPrev;12.

    • Recursos;5

    • Strokes;50.

    • M;50,000.

    • Gap_Gurobi/100,000b;1000.

    • Lim_timp_Gurobi;3000.

  • The expected demand calculated for all the periods and final products is between lines 17–27 of each file.

  • The demands for all the 10 final products in all eight periods on each PH are between lines 28 and 731 of each file. The first period is confirmed demand and the other periods are the demand forecasts. A graph representation is seen in Fig. 16 of Par00_ST_CV10_P5_R30_5.

    Fig. 16
    figure 16

    Source: the Authors

    Demands of the 71 periods of the 64 PH of Par00_ST_CV10_P5_R30_5.

  • The initial stock of each product of the instance are between lines 732 and 733 of each file.

  • The storage costs for each product and in all eight periods are between lines 734 and 742 of each file.

  • The setup costs of each stroke in all eight periods are between lines 743 and 751 of each file.

  • The costs of each stroke in all eight periods are between lines 752 and 760 of each file.

  • The available capacity of each resources is between lines 761 and 762 of each file.

  • Delivery times or those necessary to perform each operation are between lines 763 and 764 of each file.

  • The matrix of products resulting from each strokes is between lines 765 and 815 of each file.

  • The matrix of products consumed by each strokes is between lines 816 and 866 of each file.

  • The matrix of the resources required for the setup of each strokes is between the lines 867 and 872 of each file.

  • The matrix of the resources required to perform each strokes is between lines 873 and 878 of each file.

  • The matrix of the cost of delay of each products during each period is between lines 879 and 887 of each file.

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Rius-Sorolla, G., Maheut, J., Estellés-Miguel, S. et al. Operations planning test bed under rolling horizons, multiproduct, multiechelon, multiprocess for capacitated production planning modelling with strokes. Cent Eur J Oper Res 29, 1289–1315 (2021). https://doi.org/10.1007/s10100-020-00687-5

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  • DOI: https://doi.org/10.1007/s10100-020-00687-5

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