An application of the linear programming technique in one- and two-dimensional stock cutting problems

By: Call Number: AIT Thesis no.ST-83-14 Contributor(s): Material type: TextSeries: Asian Institute of Technology. Thesis ; no. ST-83-14Publication details: Bangkok : Asian Institute of Technology, 1983Description: v, 92 pSubject(s): Online resources: Dissertation note: Thesis (M.Eng.) - Asian Institute of Technology, 1983 Summary: Optimization in the use of construction resources on a project is always worthwhile . Using a minimal quantity of the available mate ria ls to fulfil given set o f demand c an r educe the construction cost considerably. The possibility of cutting out the required sizes of one- and two-dimensional objects, using as little stock as possible, has been explored in this report. The linear programming technique has been used as the basic tool for optimization and the study is computer-oriented . An attempt has been made to keep the resulting patterns simple and practicable, even at the cost at a little relaxation in optimality. The IBM package MPSX/MIP-370 h as been used to solve the linear programming problems. For the two dimensional problem, several types of arrangement o f the demand sizes have been tried on sample examples to heuristically find the arrangement that gives the most economical results
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22-AIT Thesis (Replacement) Asian Institute of Technology Library AIT Publications AIT Thesis no.ST-83-14 (Browse shelf(Opens below)) 3 Available 30050120689087
40-Archives Asian Institute of Technology Library Archives AIT Thesis no.ST-83-14 (Browse shelf(Opens below)) 1 Available 30050160013172

A thesis submitted in partial fulfillment of the requirement for the degree of Master of Engineering, School of Engineering and Technology

Thesis (M.Eng.) - Asian Institute of Technology, 1983

Optimization in the use of construction resources on a project is always worthwhile . Using a minimal quantity of the available mate ria ls to fulfil given set o f demand c an r educe the construction cost considerably. The possibility of cutting out the required sizes of one- and two-dimensional objects, using as little stock as possible, has been explored in this report. The linear programming technique has been used as the basic tool for optimization and the study is computer-oriented . An attempt has been made to keep the resulting patterns simple and practicable, even at the cost at a little relaxation in optimality. The IBM package MPSX/MIP-370 h as been used to solve the linear programming problems. For the two dimensional problem, several types of arrangement o f the demand sizes have been tried on sample examples to heuristically find the arrangement that gives the most economical results

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