Takt Control for Uncertain-Time Production Collaboration
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Solution Overview
Problem
Existing methods for measuring collaboration efficiency in production processes with uncertain time fail to consider factors like uncertainty degree and task completion probability, leading to inefficiencies and wasted time in production processes.
Innovation Solution
A takt system and method that establishes a takt control model to minimize estimated wasted time by using a particle swarm optimization algorithm with Monte Carlo Simulation, considering historical wasted time, production time distribution, and task completion probability, to optimize time intervals for production tasks across multiple service providers.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Productivity
If traditional throughput measurement is used for mass production, then measurement is simple, but it is not applicable to single-piece small-batch production processes
Solution Approach 1:
The patent changes the measurement parameter from traditional throughput to collaboration efficiency indices (estimated wasted time, task completion probability) that are specifically suited for single-piece small-batch production, making the measurement applicable to different production modes while maintaining systematic evaluation capability
2Productivity
If only total completion time is focused on, then control is simple, but collaboration efficiency is not properly measured
Solution Approach 1:
The patent segments the overall collaboration efficiency into multiple independent indices: estimated wasted time (measuring process coordination efficiency) and task completion probability (measuring reliability). This segmentation allows comprehensive evaluation of collaboration efficiency while maintaining clear, manageable measurement dimensions for each index
3Adaptability or versatility
If production time is subject to the same type of distribution, then modeling is simple, but it lacks comprehensive consideration for different production tasks
Solution Approach 1:
The patent introduces dynamic selection of probability distribution functions for different production tasks based on their specific characteristics. Instead of forcing all tasks into the same distribution type, the system allows each task to be modeled with the most appropriate distribution (normal, uniform, exponential, etc.), making the model adaptable to diverse production scenarios while maintaining mathematical rigor through standardized handling of different distributions
Data Source
AI summary
The present invention provides a takt system and method for the collaboration of production processes with uncertain time, which relates to the technical field of task collaboration. The present invention measures the collaboration efficiency of the production processes with indices such as estimated wasted time, and calculates the estimated wasted time by the expectation of the weighted sum of wasted time. For the collaboration of the production processes with uncertain time, the propagation of uncertainty factors and occurrence of wasted time in the collaborative production process are limited in a manner of takt. In different scenarios focusing on the collaboration efficiency and completion probability of the production processes, two takt control models are established, and takt solutions for the collaboration of production processes with uncertain time are obtained by solving the models. The method proposed effectively reduces the wasted time in the production processes and improves the collaboration efficiency.