Recently studies in area of supply chain network (SCN) have focused on the disruption issues in distribution systems. Also this paper extends the previous literature by providing a new biobjective model for cost minimization of designing a three echelon SCN across normal and failure scenarios with considering multi capacity option for manufacturers and distribution centers. Moreover, in order t...

Building on work of Dubickas and Smyth regarding the metric Mahler measure and the authors regarding extremal norms associated to the Mahler measure, the authors introduce a new set of norms associated to the Mahler measure of algebraic numbers which allow for an equivalent reformulation of problems like the Lehmer problem and the Schinzel-Zassenhaus conjecture on a single spectrum. We present ...

introduction: appropriate definition of the distance measure between diffusion tensors has a deep impact on diffusion tensor image (dti) segmentation results. the geodesic metric is the best distance measure since it yields high-quality segmentation results. however, the important problem with the geodesic metric is a high computational cost of the algorithms based on it. the main goal of this ...

We consider an uncapacitated stochastic vehicle routing problem in which vehicle depot locations are fixed and client locations in a service region are unknown, but are assumed to be independent and identically distributed samples from a given probability density function. We present an algorithm for partitioning the service region into sub-regions so as to balance the workloads of all vehicles...

We investigate techniques for similarity analysis of spatio-temporal trajectories for mobile objects. Such kind of data may contain a great amount of outliers, which degrades the performance of Euclidean and Time Warping Distance. Therefore, here we propose the use of non-metric distance functions based on the Longest Common Subsequence (LCSS), in conjunction with a sigmoidal matching function....

Recently, in [1], it has been proved that if B is an open unit ball in a Cartesian product l2 × l2 furnished with the lp-norm ‖ · ‖ and kB is the Kobayashi distance on B, then the metric space (B,kB) is locally uniformly convex in linear sense. Our construction of domains, which are locally uniformly convex in their Kobayashi distances, is based on the ideas from [1]. Such domains play an impor...

Spacetime is composed of a fluctuating arrangement of bubbles or loops called spacetime foam, or quantum foam. We use the holographic principle to deduce its structure, and show that the result is consistent with gedanken experiments involving spacetime measurements. We propose to use laserbased atom interferometry techniques to look for spacetime fluctuations. Our analysis makes it clear that ...

The purpose of this note is to present two elementary, but useful, facts concerning actions on uniformly convex spaces. We demonstrate how each of them can be used in an alternative proof of the triviality of the first Lp-cohomology of higher rank simple Lie groups, proved in [1]. Let G be a locally compact group with a compact generating set K ∋ 1, and let X be a complete Busemann non-positive...

Abstract Complex networks are mathematical abstractions of real-world systems using sets nodes and edges representing the entities their interactions. Prediction unknown interactions in such is a problem interest biology, sociology, physics, engineering, etc. Most complex exhibit recurrence subnetworks, called network motifs. Within realm social science, link prediction (LP) models employed to ...

In these notes, we review recent results concerning the Lp norm bounds for spectral clusters on compact manifolds. The type of estimates we consider were first established by Sogge [15] in the case of smooth metrics. Recent results of ours in [10] establish the same estimates under the assumption that the metric is C1,1. It is known by examples of Smith-Sogge [12] that such estimates fail for C...