the present paper offers a meso-scale numerical model to investigate the effects of random distribution of aggregate particles and steel fibers on the elastic modulus of steel fiber reinforced concrete (sfrc). meso-scale model distinctively models coarse aggregate, cementitious mortar, and interfacial transition zone (itz) between aggregate, mortar, and steel fibers with their respective materi...

considering the major change occurred in business cells from plant to “chain” and the critical need to choose the best partners to form the supply chain for competing in today’s business setting, one of the vital decisions made at the early steps of constructing a business is supplier selection. given the fact that the early decisions are inherently strategic and therefore hard and costly to ch...

The complexity of molecular kinetics can be reduced significantly by a restriction to metastable conformations which are almost invariant sets of molecular dynamical systems. With the Robust Perron Cluster Analysis PCCA+, developed by Weber and Deuflhard [6], we have a tool available which can be used to identify these conformations from a transition probability matrix. This method can also be ...

This article demonstrates a new approach to analyzing UML designs using state and sequence diagrams. From multiple state diagrams, a super-state diagram which includes the cross-product of the selected states is built along with a transition matrix of possible transitions. The closure of the transition matrix is used to identify unreachable states and impossible transitions. Additionally, the c...

The problem of estimating a Markov transition matrix to statistically describe the dynamics underlying an observed process is frequently found in the physical and economical sciences. However, little attention has been paid to the fact that such an estimation is associated with statistical uncertainty, which depends on the number of observed transitions between metastable states. In turn, this ...

In this note we show that for a given controllable pair (A,B) and any λ > 0, a gain matrix K can be chosen so that the transition matrix e of the system ẋ = (A + BK)x decays at the exponential rate e and the overshoot of the transition matrix can be bounded by Mλ for some constants M and L that are independent of λ. As a consequence, for any h > 0, a gain matrix K can be chosen so that the magn...