A Regularized Mixed Integer Linear Programming framework with penalties for integrated workforce, subcontracting and production optimization

P. K. Sudhakar et al.

Journal of Industrial and Management Optimization2026https://doi.org/10.3934/jimo.2026074article
AJG 1ABDC B
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0.50

What the paper says

In this study, we introduce a Regularized Mixed-Integer Linear Programming (MILP) framework aimed at optimizing workforce allocation, production scheduling, subcontracting, and energy management within the footwear manufacturing domain. The proposed model incorporates two regularization-based penalty components: An L1 (lasso-type) penalty, which constrains abrupt fluctuations in workforce levels and job sequencing across planning horizons, and an L2 (ridge-type) penalty, which penalizes deviations from target capacity and energy utilization levels. This hybrid formulation improves model robustness, mitigates overfitting, and ensures a balanced trade-off between operational efficiency and cost performance. Empirical evaluation conducted over a six-period planning horizon using representative production data demonstrated the model's effectiveness. With regularization coefficients calibrated at λ1 = 0.1 and λ2 = 0.05, the MILP solver produced an optimal integer solution, yielding a total operational cost of ₹738,792.7 while sustaining workforce stability across all periods and completely avoiding additional hiring or layoffs.

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https://doi.org/https://doi.org/10.3934/jimo.2026074

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@article{p.2026,
  title        = {{A Regularized Mixed Integer Linear Programming framework with penalties for integrated workforce, subcontracting and production optimization}},
  author       = {P. K. Sudhakar et al.},
  journal      = {Journal of Industrial and Management Optimization},
  year         = {2026},
  doi          = {https://doi.org/https://doi.org/10.3934/jimo.2026074},
}

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A Regularized Mixed Integer Linear Programming framework with penalties for integrated workforce, subcontracting and production optimization

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Evidence weight

0.50

Balanced mode · F 0.40 / M 0.15 / V 0.05 / R 0.40

F · citation impact0.50 × 0.4 = 0.20
M · momentum0.50 × 0.15 = 0.07
V · venue signal0.50 × 0.05 = 0.03
R · text relevance †0.50 × 0.4 = 0.20

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