Conveyor Cycle Time Probability Distributions for Assembly Line Simulation
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Solution Overview
Problem
Conventional simulation techniques for conveyor cycles in multi-product assembly lines are computationally infeasible and require significant resources to simulate thousands of vehicles advancing through numerous footprints, leading to high costs and inefficiencies.
Innovation Solution
The method determines conveyor cycle time probability distributions for each cycle, allowing for discrete event simulations that treat each conveyor as a single entity, reducing computational complexity and resource requirements by leveraging cumulative and individual probabilities to simulate vehicle sequences and staffing plans effectively.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If conventional simulation techniques are used to simulate thousands of vehicles through numerous footprints, then measurement precision and reliability are improved, but device complexity and computational resources increase significantly
Solution Approach 1:
The assembly line is divided into discrete conveyors, each with multiple footprints. The simulation method segments the complex multi-vehicle simulation into individual conveyor simulations, where each conveyor is treated as a separate entity with its own cycle time probability distribution. This segmentation reduces overall computational complexity while maintaining simulation accuracy.
Solution Approach 2:
Instead of simulating each individual vehicle through each footprint, the patent creates a probabilistic model that copies the essential characteristics of vehicle sequences and staffing plans. The discrete event simulation uses probability distributions to represent vehicle arrival patterns and task completion times, eliminating the need to track every individual vehicle while preserving the statistical behavior of the system.
2Productivity
If conventional simulation techniques simulate thousands of vehicles through numerous footprints, then productivity assessment is improved, but loss of time and computational resources increase
Solution Approach 1:
The patent performs preliminary calculations to determine cycle time probability distributions for each conveyor based on historical data and system parameters. These pre-computed probability distributions are then used in the discrete event simulation, eliminating the need for time-consuming iterative simulations of individual vehicles. The preliminary establishment of probability models enables rapid productivity assessment.
Solution Approach 2:
The simulation approach changes from tracking individual vehicle parameters (position, speed, task completion time) to using aggregated probability distribution parameters for each conveyor. By transforming the simulation from a detailed vehicle-level model to a conveyor-level probabilistic model, computational time is dramatically reduced while maintaining the ability to assess throughput and productivity.
3Measurement precision
If detailed simulation of each footprint cycle time is performed, then measurement precision is improved, but device complexity increases
Solution Approach 1:
The patent merges the simulation of multiple footprints into a single discrete event simulation for each conveyor. Instead of separately simulating each footprint's cycle time and then integrating results, the method combines all footprints of a conveyor into one unified simulation model that uses the predetermined cycle time probability distribution. This merging reduces model complexity while maintaining measurement precision through the probabilistic approach.
Data Source
AI summary
A method for simulating conveyors includes receiving conveyor content for each cycle, the conveyor content including over-cycle distributions each specific to a vehicle group at a footprint of each conveyor for a footprint cycle time, determining a cumulative probability, for each footprint cycle time, across all of the footprints of the conveyor, of one or more of the footprints of the conveyor having that cycle time or less, and determining an individual probability, for each footprint cycle time, across all of the footprints of the conveyor, of the conveyor having that cycle time. The method further includes receiving a vehicle dispatch strategy and generating an alert indicating an over-cycle risk for the strategy based on the individual probabilities, and/or performing a discrete event simulation of the conveyors using one of the individual probabilities for each cycle and for each conveyor. Other examples systems and methods are also disclosed.