Optimal Blank Nesting Using Simulated Annealing

1992 ◽  
Vol 114 (1) ◽  
pp. 160-165 ◽  
Author(s):  
P. Jain ◽  
P. Fenyes ◽  
R. Richter

By reducing scrap, high volume stamped parts can be produced more economically. Scrap rate is heavily influenced by the nesting, or positioning, of the blanks onto the stock. Blank nesting is often done manually, resulting in inefficient nestings with high scrap rates. We have developed an automated nesting system which minimizes the scrap for continuous strip stamping processes. Using an integer grid technique, we compute the overlap between blanks and then apply simulated annealing, a probabilistic global optimization technique, to determine a new nesting with zero overlap and minimal scrap. We present several examples to illustrate the method.

Author(s):  
P. Jain ◽  
P. Fenyes ◽  
R. Richter

Abstract Since the cost of high volume stamped parts is largely dependent on material usage, scrap minimization is a primary goal of the design process. Although many factors influence the scrap rate for a given stamping, one of the most critical is the actual nesting, or positioning, of the part blanks onto the metal strip or sheet stock. Blank nesting is often done by hand, resulting in inefficient nestings with high scrap rates. Greater material efficiency can be achieved by automating this process. We have developed an automated system based on mathematical programming techniques which optimizes blank nestings for continuous strip stamping processes. We formulate the problem by first describing the geometry of the part or parts to be nested for stamping and specifying an initial layout. We use a novel integer grid technique to efficiently and accurately compute the overlap between parts and then apply simulated annealing, a probabilistic global optimization technique, to determine a new part layout with zero overlap and minimal scrap. Using representative part configurations, we present several examples illustrating the efficient nestings produced using this method.


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