A branch-and-price solution strategy for integrated process planning and scheduling problems

This research investigates the integrated process planning and scheduling (IPPS) problem that considers process planning and production scheduling simultaneously with the aim of minimizing makespan. To solve the IPPS problem, we propose a branch-and-price (B&P) solution strategy that decomposes...

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Main Authors: Dung-Ying Lin, Che-Hao Chen
Format: Article
Language:English
Published: Elsevier 2025-12-01
Series:Operations Research Perspectives
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S2214716025000193
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author Dung-Ying Lin
Che-Hao Chen
author_facet Dung-Ying Lin
Che-Hao Chen
author_sort Dung-Ying Lin
collection DOAJ
description This research investigates the integrated process planning and scheduling (IPPS) problem that considers process planning and production scheduling simultaneously with the aim of minimizing makespan. To solve the IPPS problem, we propose a branch-and-price (B&P) solution strategy that decomposes the problem according to the Dantzig-Wolfe principle and searches for integer solutions with a branch-and-bound framework. The decomposed master problem solves the scheduling problem and determines the corresponding timing information. The subproblem finds the optimal processing route and machine assignment based on the pricing information passed from the master problem. One of the critical features of the decomposition strategy is that the resulting subproblem can be reduced to a shortest path problem and can be solved with a proposed linear time algorithm. Numerical results show that the proposed B&P solution strategy can effectively and efficiently solve benchmark problem instances. Managerial insights are drawn based on the numerical results and sensitivity analysis to demonstrate the practical use of the proposed framework.
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spelling doaj-art-541b326c14164e63aab9f6da60b592722025-08-20T02:22:01ZengElsevierOperations Research Perspectives2214-71602025-12-011510034310.1016/j.orp.2025.100343A branch-and-price solution strategy for integrated process planning and scheduling problemsDung-Ying Lin0Che-Hao Chen1Department of Industrial Engineering and Engineering Management, National Tsing Hua University, Hsinchu, TaiwanDepartment of Industrial Engineering and Engineering Management, National Tsing Hua University, Hsinchu, TaiwanThis research investigates the integrated process planning and scheduling (IPPS) problem that considers process planning and production scheduling simultaneously with the aim of minimizing makespan. To solve the IPPS problem, we propose a branch-and-price (B&P) solution strategy that decomposes the problem according to the Dantzig-Wolfe principle and searches for integer solutions with a branch-and-bound framework. The decomposed master problem solves the scheduling problem and determines the corresponding timing information. The subproblem finds the optimal processing route and machine assignment based on the pricing information passed from the master problem. One of the critical features of the decomposition strategy is that the resulting subproblem can be reduced to a shortest path problem and can be solved with a proposed linear time algorithm. Numerical results show that the proposed B&P solution strategy can effectively and efficiently solve benchmark problem instances. Managerial insights are drawn based on the numerical results and sensitivity analysis to demonstrate the practical use of the proposed framework.http://www.sciencedirect.com/science/article/pii/S2214716025000193ProductionIntegrated process planning and scheduling problemColumn generationDantzig-wolfe decompositionBranch-and-price
spellingShingle Dung-Ying Lin
Che-Hao Chen
A branch-and-price solution strategy for integrated process planning and scheduling problems
Operations Research Perspectives
Production
Integrated process planning and scheduling problem
Column generation
Dantzig-wolfe decomposition
Branch-and-price
title A branch-and-price solution strategy for integrated process planning and scheduling problems
title_full A branch-and-price solution strategy for integrated process planning and scheduling problems
title_fullStr A branch-and-price solution strategy for integrated process planning and scheduling problems
title_full_unstemmed A branch-and-price solution strategy for integrated process planning and scheduling problems
title_short A branch-and-price solution strategy for integrated process planning and scheduling problems
title_sort branch and price solution strategy for integrated process planning and scheduling problems
topic Production
Integrated process planning and scheduling problem
Column generation
Dantzig-wolfe decomposition
Branch-and-price
url http://www.sciencedirect.com/science/article/pii/S2214716025000193
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