What does this research mean for the field?

An Improved Grey Wolf Optimization (IGWO) algorithm, combined with a mixed-integer programming model for order and operation consolidation, effectively minimizes makespan and total tardiness in flexible job shop scheduling under job hierarchy constraints. Novelty: ClaimNovelty.METHODOLOGICAL. Consensus alignment: ConsensusAlignment.NEUTRAL.

What question did this study set out to answer?

To formulate and solve a flexible job shop batch scheduling problem by integrating order and operation consolidation under multi-level job hierarchy constraints to simultaneously minimize makespan and total tardiness.

September 3, 2026Modelling—International Open Access Journal of Modelling in Engineering ScienceOpen Access

Flexible Job Shop Scheduling Based on Order and Operation Consolidation with Job Hierarchy Constraints

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Authors

XZXiaofei ZhuChongqing University of Science and Technology YWYaping WangHarbin University of Science and Technology XWXuebing WeiHarbin University of Science and Technology

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Implication

Optimization study demonstrates improved makespan and tardiness in complex manufacturing schedules, indicating effective batch consolidation under job hierarchy constraints.

Key Points

To formulate and solve a flexible job shop batch scheduling problem by integrating order and operation consolidation under multi-level job hierarchy constraints to simultaneously minimize makespan and total tardiness.
Formulated a mixed-integer programming model accommodating dynamic batching and non-serial operation precedence networks.
Developed an Improved Grey Wolf Optimization algorithm featuring a two-tier coding scheme, hybrid population initialization, Variable Neighborhood Search, and Simulated Annealing acceptance logic.
Tested the model and optimization algorithm using small-, medium-, and large-scale operational data from a power station valve manufacturer.
Demonstrated effective convergence and solution quality across small-, medium-, and large-scale industrial manufacturing instances.
Successfully balanced global exploration and local exploitation to achieve simultaneous reductions in maximum completion time and tardiness.

Cite This Study

Zhu et al. (2026) studied this question.

synapsesocial.com/papers/6a993592636c6408cfa7dec4 https://doi.org/10.3390/modelling7050183

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Implication

Optimization study demonstrates improved makespan and tardiness in complex manufacturing schedules, indicating effective batch consolidation under job hierarchy constraints.

Flexible Job Shop Scheduling Based on Order and Operation Consolidation with Job Hierarchy Constraints

Discussion

Member takes

Implication

Key Points

Cite This Study

Flexible Job Shop Scheduling Based on Order and Operation Consolidation with Job Hierarchy Constraints

Discussion

Member takes

Implication

Key Points

Cite This Study

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