Constant Table Count Determination in Pick-and-Place Lines
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Solution Overview
Problem
Current methods for determining the maximum number of constant tables in pick-and-place lines are inefficient, especially for larger configurations, as they become impractical and computationally intensive, leading to high time expenditure and unsatisfactory results.
Innovation Solution
The use of mixed integer linear optimization to calculate the maximum number of constant tables based on input data describing the pick-and-place infrastructure, including pick-and-place machines, transport systems, and both constant and variable tables, to determine the optimal allocation of component types and track capacities.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If traditional methods are used to determine the maximum number of constant tables, then the determination can be made, but the time expenditure becomes excessively high and results become unsatisfactory for larger configurations
Solution Approach 1:
The patent transforms the original complex optimization problem into a simplified linear optimization problem by changing the mathematical parameters and constraints. This allows the use of efficient linear programming algorithms instead of exhaustive search methods, significantly reducing computational time while maintaining determination accuracy for large-scale configurations
2Productivity
If the number of constant tables is increased to reduce setup conversion, then resource allocation efficiency improves, but the complexity of determining optimal configuration increases
Solution Approach 1:
The patent replaces complex combinatorial optimization mechanisms with linear programming mathematical models. By formulating the table allocation problem as a linear optimization problem with clear objective functions and constraints, the system can efficiently determine optimal constant table configurations without exhaustive analysis, enabling increased constant table usage while managing configuration complexity
3Adaptability or versatility
If mixed operation with constant and variable tables is used, then flexibility is maintained, but the outlay for planning and storage increases
Solution Approach 1:
The patent creates a unified optimization model that handles both constant and variable tables within a single linear programming framework. This universal approach determines the optimal mix of constant and variable tables based on production requirements, maintaining flexibility for different production scenarios while reducing planning complexity through standardized mathematical formulation and eliminating the need for separate planning processes
Data Source
AI summary
Provided is a method for determining the maximum number of constant tables at table locations in one or more pick-and-place lines for the placement of components on modules using pick-and-place machines, the fittings on the constant tables being used in all the fitting families of a pick-and-place line, one fitting family including a set of modules which can be produced on a pick-and-place line with a common component fitting, wherein the maximum number of constant tables is determined by calculation using mixed-integer liner optimization on the basis of input data describing the pick-and-place infrastructure, wherein the pick-and place infrastructure can include in particular the pick-and-place lines having the pick-and-place machines, each with pick-and-place head, at least one transport system for the modules, the said constant tables, and further tables which can be variably fitted.