Different from existing flow-based optimization models, we formulate individual passenger and train stopping pattern as commodity and network structure in the multi-commodity flow-modeling framework, respectively.
To scale up to such large graphical models, we formulate the algorithm using a distributed memory abstraction model that allows efficient in-memory parallel computations on large clusters.
From the experimental data using 9.6-μm microbeads and a theoretical model, we formulated two equations that can estimate the angular velocity of the rotational flow around the circular motion and the velocity toward the root of the end effector according to the frequency and the amplitude of the end effector.
To determine if topical SAGEs were effective topical anti-inflammatory agents in this rosacea model, we formulated GM-1111 into a standard triglyceride-based transdermal emollient that contained 20% (w/w) water and 1% (w/w) of active drug.
Following the theoretical ASE model we formulated a structural start model with the scale variables as endogenous variables, and the background variables as exogenous variables.
In our model, we formulated the regulation of E2 production as being proportional to the concentration of bound LH in the gonad compartment (Equation 6).
The proof of these claims is rather technical and can be found in Appendix A. In addition to the deterministic model, we formulated a discrete time Markov chain model, which we investigated by way of simulations.
Using the model, we formulate the optimality conditions of these two cases.
For static traffic model, we formulate integer programming models to minimize the total power consumption in the network.
Based on this model, we formulate and solve two flexible contract design problems, assuming private and public observation of the ex-post information available at time two (e.g. wind speed realization), respectively.
