. Sheet metal bending operation planning: Using virtual node generation to improve search efficiency. Journal of Manufacturing Systems, 18(2):127-139, 1999. Readers are encouraged to get the official version from the journal's web site or by contacting Dr. S.K. Gupta (skgupta@umd.edu). manufacturing operations planning, state-space search, sheet-metal bending, and setup planning.
Sheet Metal Bending
AbstractA large numberofmanufacturing operation planning problems can beformulated as state-space search problems. In case of sheet-metal bending operation planning, processing a search node involves extensive geometric reasoning. Such computationintensive node-processing limits the numberofsearch nodes that can be expanded in a reasonable amount of time, making it di cult to solve real-life operation planning problems.In this paper, we describe a scheme to speed up operation planning by virtual generation of state-space nodes. In this scheme, we eliminate unnecessary computation at the time of node generation by extracting the required information from already generated nodes. Although generation of two di erent search nodes rarely involves identical computation steps, there is considerable overlap in node generation steps. We h a ve divided the node generation step into a number of computation subproblems. When we need to generate a new node, we rst try to see if any of the node generation subproblems have been solved for any of the already generated nodes. If any subproblem has already beensolved for some other node, then we use the solution of that subproblem to save computation time. In such cases, we do not perform node generation computation steps, and therefore we c a l l s u c h node generation virtual.The scheme presented in this paper increases the node generation capability and allows us to consider many more search nodes. The ability to consider more search nodes helps us in solving more complex problems and nding better operation plans.