The constrained rectangle-packing problem is the problem of packing a subset of rectangles into a larger rectangular container, with the objective of maximizing the layout value. It has many industrial applications such as shipping, wood and glass cutting, etc. Many algorithms have been proposed...

This paper considers the problem of finding the densest packing of N (N = 1, 2, ...) equal circles in a circle. This problem is perhaps the most classical packing problem. It is also a natural and challenging test system for evaluating various global optimization methods. We propose a...

This paper investigates the circular open dimension problem (CODP), which consists of packing a set of circles of known radii into a strip of fixed width and unlimited length without overlapping. The objective is to minimize the length of the strip. In this paper, CODP is solved by a series of...

Imbalance between fast-growing transport demand and limited network supply has resulted in severe congestion in many transport networks. Increasing network supply or reducing transport demand could mitigate congestion, but these remedies are usually associated with high implementation cost....

This paper investigates the relationships between coherent (convex) risk measures and Choquet expectations under the g-expectations framework. We deduce that convex risk measures can be dominated by Choquet expectations if, and only if they are coherent risk measures.

The rectangle packing area minimization problem is a key sub-problem of floorplanning in VLSI design. This problem places a set of axis aligned two-dimensional rectangular items of given sizes onto a rectangular plane such that no two items overlap and the area of the enveloping rectangle is...

Using quantile regression method, this paper made an empirical analysis on convergence of China’s regional economic growth since the reform and opening-up. It firstly introduced principle of quantile regression method and related theories of convergence of economic growth. Through...