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Stochastic transitions of a mixed-integer linear programming model for the construction supply chain: chance-constrained programming and two-stage programming

Author

Listed:
  • Aspasia Koutsokosta

    (Democritus University of Thrace)

  • Stefanos Katsavounis

    (Democritus University of Thrace)

Abstract

This paper addresses the problem of optimal Construction Supply Chain (CSC) design and integration in deterministic and stochastic environments by providing a family of models for the optimization of a dynamic, multi-product, multi-site contractor-led CSC. With the objective of minimizing the total CSC cost, optimal decisions are made on network design, production, inventory holding and transportation, while also considering discounts for bulk purchases, logistics centers, on-site shortages and an inventory-preparation phase. The models integrate the operations of temporal and project-based supply chains into a sustainable network with repetitive flows, large scope contracts and economies of scale to provide the main contractor with a versatile optimization framework which can account for different levels of uncertainty. The novelty of this paper lies in providing a flexible integrative optimization CSC tool that accounts for multiple CSC actors (suppliers and/or logistics centers), projects, products, time periods, operations, and different decision-making environments depending on the nature of the problem and the risk-attitude of the decision maker. This paper contributes to the fast-growing research field of stochastic CSC optimization showcasing stochastic transitions of a mixed-integer linear programming model to chance-constrained programming and two-stage programming and incorporating uncertainties with different types of probability distributions or scenarios, and even interdependent uncertainties—approaches that have not been explored extensively in the CSC context. The results reveal that the stochastic approaches sacrifice the minimum cost of deterministic solutions having average settings to obtain robust well-hedged solutions over the possible parameter variations and that the selection of a suitable method for modeling uncertainty is context-dependent.

Suggested Citation

  • Aspasia Koutsokosta & Stefanos Katsavounis, 2024. "Stochastic transitions of a mixed-integer linear programming model for the construction supply chain: chance-constrained programming and two-stage programming," Operational Research, Springer, vol. 24(3), pages 1-57, September.
    • Handle: RePEc:spr:operea:v:24:y:2024:i:3:d:10.1007_s12351-024-00856-3
    DOI: 10.1007/s12351-024-00856-3
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    References listed on IDEAS

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    1. Zahra Mohammadnazari & Seyed Farid Ghannadpour, 2021. "Sustainable construction supply chain management with the spotlight of inventory optimization under uncertainty," Environment, Development and Sustainability: A Multidisciplinary Approach to the Theory and Practice of Sustainable Development, Springer, vol. 23(7), pages 10937-10972, July.
    2. Tadeusz Sawik, 2018. "Supply Chain Disruption Management Using Stochastic Mixed Integer Programming," International Series in Operations Research and Management Science, Springer, number 978-3-319-58823-0, July-Dece.
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    4. A. Charnes & W. W. Cooper, 1963. "Deterministic Equivalents for Optimizing and Satisficing under Chance Constraints," Operations Research, INFORMS, vol. 11(1), pages 18-39, February.
    5. Juping Shao & Yanan Sun & Bernd Noche, 2015. "Optimization of Integrated Supply Chain Planning under Multiple Uncertainty," Springer Books, Springer, edition 127, number 978-3-662-47250-7, April.
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