A problem of relevant interest to some industries is that of optimum two-dimensional layout. In this problem…

What Is Nesting?
One-Dimensional Nesting
Two-Dimensional Nesting
Three-DimensionalNesting
Familiarizing with One-Dimensional Nesting Tools

  • Summary of Optimization Results
  • Summary of Layouts
  • Stock Details
  • Part Details
  • Layout Details
  • Off-cut/Drops List

What Are the Most Important Achievements of Nesting?
Familiarizing with Two-Dimensional Nesting
Summary of Optimization Results
Part Details

  • Summary of Layouts
  • Parts Summary Table
  • Remaining Parts Summary Table
  • Stock Used Details
  • Off-cut Detail

Familiarizing with Custom Stock


What Is Nesting?

Considering these two terms, the estimation above cannot be valid. In that case:
Do we need how many Raw Material (Bars or Sheets) so as to claim confidentially that we will not encounter lack of materials?
What arrangement of combination should we place in each cross section in order to encounter the least waste?
What combination of pieces should we place in each cross section in order to require the least cutting?

 

Providing responses for the three questions above is called“Nesting.” Nesting can be summarized as:

Arrangement of Similar Pieces (Regarding Thickness, And Cross Sectional Area) Together, Adhering To the Least Primary Materials, Minimum Cutting, and Minimum Waste

If the objective in each arrangement and estimation is following the principles and rules of Nesting, the response will be yielded easily; particularly if there are considerable number and variety of pieces. In this case, the use of a software is inevitable.


A problem of relevant interest to some industries is that of optimum two-dimensional layout. In this problem, one is given a number of rectangular sheets and an order for a specified number of each of certain types of two-dimensional regular and irregular shapes. The aim is to cut the shapes out of the sheets in such a way as to minimize the amount of waste produced. A two-stage solution is proposed in which the problem is converted from one of placing irregularly shaped pieces to one of allocating rectangular modules. The clustering algorithm used in the first stage to produce rectangular modules is presented and the results obtained when it was applied to some typical layout problems are described.

The term Nesting signifies housing and building a house. It also possesses other meanings such as “suitable arrangement of pieces together.”

First: cutting space is not taken into account in estimating the materials above.
Second: Unauthorized state of pieces in fabricating two- or three-part pieces are neglected. In other words, we have unconsciously supposed that pieces can be fabricated as more than one part and that their integrity is not necessary.