The method of domain perturbations is used to study the problem of a nearly spherical bubble in an inviscid, axisymmetric straining flow. Steady-state shapes and axisymmetric oscillatory motions are considered. The steady-state solutions suggest the existence of a limit point a t a critical Weber number, beyond which no solution exists on the steady-state solution branch which includes the sphe...

A continuous single-facility location problem, where the fixed cost (or installation cost) depends on the region where the new facility is located, is studied by mean of cooperative Game Theory tools. Core solutions are proposed for the total cost allocation problem. Sufficient conditions in order to have a nonempty core are given, then the Weber problem with regional fixed costs is studied.

The problem of effectively deciding between multiple goals in real-time the "N-goal problem" is discussed in the context of computer game AI. Two related aspects of the problem, the speed of goal selection and the quality of goal selection, are identified, and two related strategies for solving these problems are introduced. The strategy of goal culling based on insistence heuristics reduces th...

Geometric branch-and-bound techniques are well-known solution algorithms for non-convex global optimization problems. Several approaches can be found in the literature differing mainly in the bounds used. The aim of this paper is to extend geometric branch-and-bound methods to mixed integer optimization problems, i.e. to objective functions with some continuous and some integer variables. We de...

In our earlier paper ([AKT1]), by interpreting the formal transformation to the Airy equation near a simple turning point as the symbol of a microdifferential operator, we derived the Voros connection formula or, equivalently, the discontinuity function of a Borel transformed WKB solution at its movable singularities. In this paper we extend this approach to the two turning points problem; by c...

Recently, a new approach to the problem of data detection for communications over band-limited channels with unknown channel-impulse response is proposed (Vaidis and Weber, IEEE Trans. Commun. 46 (February 1998) 232). This approach utilizes the Viterbi algorithm (VA) for maximum-likelihood sequence estimation (MLSE) in a block adaptive technique for simultaneous channel and data estimation. In ...