Building Bridges Between Convex Regions
نویسندگان
چکیده
In the Euclidean traveling salesman and buyers problem (TSBP), we are given a set of convex regions in d-dimensional space, and we wish to nd a minimum-cost tour that visits all the regions. The cost of a tour depends on the length of the tour itself and on the distance that buyers within each region need to travel to meet the salesman. We show that constantfactor approximations to the TSBP and several similar problems can be obtained by visiting the centers of the smallest enclosing spheres of the regions.
منابع مشابه
On optimal bridges between two convex regions
Given k disjoint regions in the plane or space, the bridge problem asks for k − 1 line segments (optimal bridges) which connect these regions so as to minimize the length of the longest path between two points in the final connected region. We present O(n) and O(n2) time algorithms for finding an optimal bridge between two convex regions in the plane and space, respectively. An important proper...
متن کاملConvex, Rotationally Symmetric Liquid Bridges between Spheres
A liquid bridge between two balls will have a free surface which has constant mean curvature, and the angles of contact between the free surface and the fixed surfaces of the balls will be constant (although there might be two different contact angles: one for each ball). If we consider rotationally symmetric bridges, then the free surface must be a Delaunay surface, which may be classified as ...
متن کاملDetermination of Optimum Insulation Thickness for Building Walls in Iran Using Life Cycle Cost Analysis
Air-Conditioning (AC) systems are responsible for a considerable portion of the energy consumption in buildings located in high cooling load requiring regions of Iran. In addition, the heat flow through the buildingschr('39') external walls plays a major role in cooling load estimations for the countrychr('39')s hot regions. Therefore, application of insulation materials in external walls has g...
متن کاملModification of Displacement Coefficient Method in Estimation of Target Displacement for Regular Concrete Bridges Based on ASCE 41-06 Standard
Displacement Coefficient Method (DCM) stipulated in the ASCE 41-06 standard is becoming the preferred method for seismic rehabilitation of buildings in many high-seismic-hazard countries. Applications of the method for non-building constructions such as bridges are beyond the scope of this standard. Thus its application to this kind of structure should be approached with care. Target displaceme...
متن کاملThe Importance of α-CT and Salt bridges in the Formation of Insulin and its Receptor Complex by Computational Simulation
Insulin hormone is an important part of the endocrine system. It contains two polypeptide chains and plays a pivotal role in regulating carbohydrate metabolism. Insulin receptors (IR) located on cell surface interacts with insulin to control the intake of glucose. Although several studies have tried to clarify the interaction between insulin and its receptor, the mechanism of this interaction r...
متن کامل