Browsing by Subject "Mathematical Techniques"

Now showing 1 - 3 of 3

Open Access
Archimedes' principle as an application of the divergence theorem
(Institute of Electrical and Electronics Engineers, 1990) Altintas, A.
A derivation is provided that allows one to obtain Archimedes' principle as an application of the divergence theorem.
Open Access
Geometric computing and uniform grid technique
(Elsevier, 1989) Akman, W.; Franklin, W. R.; Kankanhalli, M.; Narayanaswami, C.
If computational geometry should play an important role in the professional environment (e.g. graphics and robotics), the data structures it advocates should be readily implemented and the algorithms efficient. In the paper, the uniform grid and a diverse set of geometric algorithms that are all based on it, are reviewed. The technique, invented by the second author, is a flat, and thus non-hierarchical, grid whose resolution adapts to the data. It is especially suitable for telling efficiently which pairs of a large number of short edges intersect. Several of the algorithms presented here exist as working programs (among which is a visible surface program for polyhedra) and can handle large data sets (i.e. many thousands of geometric objects). Furthermore, the uniform grid is appropriate for parallel processing; the parallel implementation presented gives very good speed-up results. © 1989.
Open Access
Optimal pickup point location on material handling networks
(1989) Kiran, A.S.; Tansel, C. Barbaros
The optimal location of a pickup point on a material handling network is considered. The pickup point is defined as the material exchange point between the material handling system (MHS) and a station. The problem is defined as that of choosing the location of the pickup point to minimize the total cost of material movement in the MHS. A facility location model on directed networks has been developed, and strongly polynomial solution methods are presented.