Mathematics (Jun 2021)

Improving the Return Loading Rate Problem in Northwest China Based on the Theory of Constraints

  • Wen-Tso Huang,
  • Cheng-Chang Lu,
  • Jr-Fong Dang

DOI
https://doi.org/10.3390/math9121397
Journal volume & issue
Vol. 9, no. 12
p. 1397

Abstract

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This paper introduces how to improve the return loading rate problem by integrating the Sub-Tour reversal approach with the method of the Theory of Constraints (TOC). The proposed model generates the initial solution derived by the Sub-Tour reversal approach in phase 1 and then applies TOC to obtain the optimal solution, meeting the goal of improving the return loading rate to more than 50% and then lowering the total transportation distance in phase 2. To see our model capability, this study establishes an original distribution layout to compare the performance of the Sub-Tour reversal approach with our model, based on the simulation data generated by the Monte Carlo simulation. We also conduct the pair t-test to verify our model performance. The results show that our proposed model outperforms the Sub-Tour reversal approach in a significant manner. By utilizing the available data, our model can be easily implemented in the real world and efficiently seeks the optimal solutions.

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