Date of Award
1981
Document Type
Thesis
Publication Status
Version of Record
Submission Date
October 2026
Thesis/Dissertation Advisor [Chair]
Hadlock, Frank O.
Thesis/Dissertation Co-Chair
Hoffman, Frederick
Abstract
A study was made of the problem of locating M facilities on a connected grid graph, so that M is the minimum and so that every demand node on the graph is within given distance K of one of these M facilities. We call this problem briefly the G(N,K,M) problem, with N denoting the total number of demand nodes. An algorithm for solving this problem by using backtrack technique is presented in this thesis. A heuristic algorithm is also present; although the resulting M is not always minimum, it tends to be near minimum. The advantage over the backtrack algorithm is that the heuristic algorithm operates very quickly. Algorithms represented in this thesis are programmed in the Pascal language for the Univac 1100 computer at Florida Atlantic University, Boca Raton, Florida.
Extent
69 p.
Recommended Citation
HSUEH, CHI-FU, "MINIMUM K-CENTER PROBLEM FOR GRID GRAPH" (1981). Electronic Theses and Dissertations 1980 - 1989. 114.
https://digitalcommons.fau.edu/etd_general_3/114
Identifier
FADT14077
Comments
Thesis (M.S.)--Florida Atlantic University, 1981.|Charles E. Schmidt College of Science|FAU Electronic Theses and Dissertations Collection|Thesis (M.S.)--Florida Atlantic University, 1981.