The analytic center cutting plane method (ACCPM) is one of successful methods to solve nondifferentiable optimization problems. In this paper ACCPM is used for the first time in the vehicle routing problem with time windows (VRPTW) to accelerate lagrangian relaxation procedure for the problem. At first the basic cutting plane algorithm and its relationship with column generation method is clari...

This paper describes the application of multi-scale relaxation to automatically detect pavement distress. Pavement distress detection is a di cult task which simple edge detection schemes perform poorly. We have chosen to use relaxation labeling to improve upon an initial edge-based segmentation. This work is based upon a fractal model of pavement distress. The scale-invariance property of frac...

Nuclear Magnetic Resonance (NMR) relaxation is sensitive to the local structure and dynamics around the probed nuclei. The Electric Field Gradient (EFG) is the key microscopic quantity to understand the NMR relaxation of quadrupolar ions, such as (7)Li(+), (23)Na(+), (25)Mg(2+), (35)Cl(-), (39)K(+), or (133)Cs(+). Using molecular dynamics simulations, we investigate the statistical and dynamica...

Introduction: In recent years, substantial interests in quantitative assessment of myelin content in white matter (WM) have emerged for the study on the myelin-related diseases such as multiple sclerosis (MS). One commonly used approach for in vivo myelin quantification is based on the analysis of T2 relaxation time. It has been reported that the T2 spectrum of WM and several myelinated tissue ...

Correlation clustering is an exciting area of research in the fields of graphical models and image segmentation. In this article we study the linear programming (LP) relaxation corresponding to PlanarCC and the multi-cut LP relaxation which are two methods for correlation clustering. We demonstrate that they have equal value when optimized. This provides justification for the use of PlanarCC wh...

Interest in vibrational relaxation in molecular solids has grown considerably since ultra-short puls ed laser sources made picosecond time-resolved experiments possible. Time resolved stimulated Raman (TRSR)1 and coherent antistokes Raman scattering (CARS)2 experiments are in fact useful techniques for direct measurement of the relaxation time 7: of coherently excited vibrational states. A limi...

Introduction: Nano-indentation has recently been employed as a powerful tool for determining the mechanical properties of biological tissues on nano and micro scales. A majority of soft biological tissues such as ligaments and tendons exhibit viscoelastic or time-dependent behaviors. The constitutive characterization of soft tissues is among very important subjects in clinical medicine and espe...

OBJECTIVE The purpose of this study was to estimate the T2* relaxation time in breast cancer, and to evaluate the association between the T2* value with clinical-imaging-pathological features of breast cancer. MATERIALS AND METHODS Between January 2011 and July 2013, 107 consecutive women with 107 breast cancers underwent multi-echo T2*-weighted imaging on a 3T clinical magnetic resonance ima...