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AN EVALUATION OF DIMENSIONALITY REDUCTION ON CELL FORMATION EFFICACY

Sharma, Vikas Manesh

Abstract Details

2007, Master of Science (MS), Ohio University, Industrial and Manufacturing Systems Engineering (Engineering).
This thesis tests cell formation using a dimensionally reduced Part Machine Incidence (PMI) matrix, first proposed by Ganduri et al. Singular Value Decomposition (SVD) is used to decompose the PMI into component matrices, U, S and V. Matrices U and V represent part and machine vectors in lower dimensions. The number of significant singular values in the diagonal matrix S represents the number of clusters the K-means form from U. These cells are used to construct a Block Diagonal Form (BDF) in the original matrix. Efficacy is evaluated by comparing the results with twenty-three historical problems. This analysis concludes that this approach is similar in efficacy to the algorithms found in the historical problems. The results are compared with the best solution found in the literature, and the new solutions are shown to be inferior. The new solutions are also compared with the five algorithms found most frequently in the literature. They are found to be inferior in two cases, and the remaining cases are inconclusive.
David Koonce (Advisor)
111 p.

Recommended Citations

Citations

  • Sharma, V. M. (2007). AN EVALUATION OF DIMENSIONALITY REDUCTION ON CELL FORMATION EFFICACY [Master's thesis, Ohio University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=ohiou1174503824

    APA Style (7th edition)

  • Sharma, Vikas. AN EVALUATION OF DIMENSIONALITY REDUCTION ON CELL FORMATION EFFICACY. 2007. Ohio University, Master's thesis. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=ohiou1174503824.

    MLA Style (8th edition)

  • Sharma, Vikas. "AN EVALUATION OF DIMENSIONALITY REDUCTION ON CELL FORMATION EFFICACY." Master's thesis, Ohio University, 2007. http://rave.ohiolink.edu/etdc/view?acc_num=ohiou1174503824

    Chicago Manual of Style (17th edition)