scholarly journals Path from Reaction Control to Equilibrium Constraint for Dissolution Reactions

ACS Omega ◽  
2017 ◽  
Vol 2 (8) ◽  
pp. 4845-4858 ◽  
Author(s):  
Frank K. Crundwell
Keyword(s):  
Equilibrium Constraint

scholarly journals Estimating the Capacity of Urban Transportation Networks with an Improved Sensitivity Based Method

2015 ◽  
Vol 2015 ◽  
pp. 1-13 ◽  
Author(s):  
Muqing Du ◽  
Xiaowei Jiang ◽  
Lin Cheng
Keyword(s):  
Sensitivity Analysis ◽  
Large Scale ◽  
Transportation Network ◽  
Network Capacity ◽  
Combined Model ◽  
Practical Applications ◽  
Large Scale Problems ◽  
Capacity Model ◽  
High Efficient ◽  
Equilibrium Constraint

The throughput of a given transportation network is always of interest to the traffic administrative department, so as to evaluate the benefit of the transportation construction or expansion project before its implementation. The model of the transportation network capacity formulated as a mathematic programming with equilibrium constraint (MPEC) well defines this problem. For practical applications, a modified sensitivity analysis based (SAB) method is developed to estimate the solution of this bilevel model. The high-efficient origin-based (OB) algorithm is extended for the precise solution of the combined model which is integrated in the network capacity model. The sensitivity analysis approach is also modified to simplify the inversion of the Jacobian matrix in large-scale problems. The solution produced in every iteration of SAB is restrained to be feasible to guarantee the success of the heuristic search. From the numerical experiments, the accuracy of the derivatives for the linear approximation could significantly affect the converging of the SAB method. The results also show that the proposed method could obtain good suboptimal solutions from different starting points in the test examples.

Three dimensional photoelasticity with equilibrium constraint

2008 ◽  
Vol 92 (24) ◽  
pp. 241117
Author(s):  
Kenji Oguni ◽  
M. L. L. Wijerathne ◽  
Muneo Hori
Keyword(s):  
Three Dimensional ◽  
Equilibrium Constraint

Implementation of a chemical equilibrium constraint in the multivariate curve resolution of voltammograms from systems with successive metal complexes

The Analyst ◽  
2001 ◽  
Vol 126 (3) ◽  
pp. 371-377 ◽  
Author(s):  
José Manuel Díaz-Cruz ◽  
Josep Agulló ◽  
M. Silvia Díaz-Cruz ◽  
Cristina Ariño ◽  
Miquel Esteban ◽  
...  
Keyword(s):  
Metal Complexes ◽  
Chemical Equilibrium ◽  
Multivariate Curve Resolution ◽  
Curve Resolution ◽  
Equilibrium Constraint

Graph Based Semi-Supervised Learning Method for Imbalanced Dataset

2014 ◽  
Vol 556-562 ◽  
pp. 4040-4044
Author(s):  
Chen Guang Zhang ◽  
Yan Zhang ◽  
Xia Huan Zhang
Keyword(s):  
Supervised Learning ◽  
Predictive Accuracy ◽  
Learning Method ◽  
Optimal Assignment ◽  
Class Membership ◽  
Imbalanced Dataset ◽  
Minority Class ◽  
Equilibrium Constraint ◽  
Real World Datasets ◽  
Class Labels

In real application areas, the dataset used may be highly imbalanced and the number of instances for some classes are much higher than that of the other classes. When learning from highly imbalanced dataset, the classifier tends to be adapted to suit the majority class, which might make classifier to obtain a high predictive accuracy over the majority class, but poor accuracy over the minority class. To solve this problem, we put forward a novel graph based semi-supervised learning method for imbalanced dataset, called GSMID. GSMID characterize the class equilibrium constraint as the smoothness of class labels. It’s expected to derive the optimal assignment of class membership to unlabeled samples by maximizing the correlations of classes and simultaneously as smooth as possible on instance graph. The experiments comparing GSMID to SVM and other graph based semi-supervised learning methods on several real-world datasets show GSMM can effectively improve the classification accuracy on imbalanced dataset, especially when data is highly skewed.

scholarly journals The stellar atmosphere physical system II. An operative sequential algorithm to solve the stellar atmosphere problem

2019 ◽  
pp. 1-11
Author(s):  
Lucio Crivellari
Keyword(s):  
Radiative Transfer ◽  
Physical System ◽  
Stellar Atmosphere ◽  
Sequential Algorithm ◽  
Transfer Equations ◽  
Non Linear ◽  
Local Problems ◽  
Equilibrium Constraint ◽  
Non Local ◽  
Radiative Transfer Equations

In this paper, the second and the last of the series, we present a sequential algorithm to solve the stellar atmosphere problem that may serve as a paradigm for the solution of more general non-linear and non-local problems. The Iteration Factors (IF) Method is applied to achieve a solution of the radiative transfer equations, consistent with the radiative equilibrium constraint.

scholarly journals The Role of Initial Credit Distribution Scheme in Managing Network Mobility and Maximizing Reserve Capacity: Considering Traveler’s Cognitive Illusion

2016 ◽  
Vol 2016 ◽  
pp. 1-12
Author(s):  
Fei Han ◽  
Lin Cheng
Keyword(s):  
Travel Cost ◽  
User Equilibrium ◽  
Reserve Capacity ◽  
Network Mobility ◽  
Modeling Framework ◽  
Distribution Scheme ◽  
Equilibrium Constraint ◽  
Tradable Credit ◽  
Cognitive Illusion

The role of initial credit distribution scheme (ICDS) in managing network mobility has long been overlooked in previous studies of tradable credit scheme (TCS), which may make their results disputable in the reality, as the travelers possessing leftover credits can get some subsidy from the credit market and offset part of travel cost. In this paper, the disequilibrium phenomenon of previous user equilibrium (UE) solution is shown when traveler’s cognitive illusion (CI) is considered. Then, a new UE condition with TCS is defined with the ICDS and CI explicitly considered. To comprehensively reveal the impacts of ICDS on UE solution, four different types of ICDS are introduced and analyzed in a unified variational inequality (VI) modeling framework. The uniqueness of the UE link flow and market equilibrium (ME) credit price is also investigated. Furthermore, the mathematical program with equilibrium constraint (MPEC) for the optimal ICDS design problem is established, with the optimization objective being maximizing network reserve capacity. A modified relaxation algorithm is adopted to solve the MPEC. The numerical example shows that a properly designed ICDS can not only improve the network reserve capacity, but also decrease the travel cost of all the travelers in the network simultaneously.

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