Unifying algorithms

The approach has proven to be advantageous in comparison with the conventional" method. Because the reduced equation is a special form of the Reynolds equation, a full numerical solution over the entire computation domain, including both the hydrodynamic and the contact areas, thus obtained through a unified algorithm for solving one equation system. In this way, both hydrod5mamic and con-... 

Fig, 2. Ammonia process case study. Reprinted with permission from Comp. Chem. Eng., 11, 143-152, Y.-D. Lang and L. T. Biegler, A Unified Algorithm for flowsheet optimization, Copyright 1987, Pergamon Press PLC. 

Higher-Order RDMs Construction Algorithms Other Approaches A Unifying Algorithm 1. A Criterion for Selecting the Parameter Value for the 4-RDM... 

In general, this approach generates a parametric algorithm for a p-RDM with p — 3 associated arbitrary parameters leading to a whole family of approximations. In what follows this unifying algorithm is denoted by UA. 

I. Kfivy, B. Gruber, A unified algorithm for determining the reduced (Niggli) cell, Acta Cryst. A32, 297 (1976). 

Unified algorithm Yes Yes No Yes Poulin (2015a,b,c), Kleist and Huisinga (2007), Schmitt ... 

PeyretT, Poulin P, Krishnan K. 2010. A unified algorithm for predicting partition coefficients for PBPK modeling of drugs and environmental chemicals. Toxicol Appl Pharmacol 249 197-207. 

For a broad class of VRP there are no algorithms solving it in polynomial time, which leads us to the class of approximation algorithms, that allow to obtain rational sub-optimal solutions in low computational time. The routing problems can be solved by significant diversity of methods of operations research but there is no unified algorithm for serving the full spectrum of problems of this class. 

The calculation of the reduced cell is based on the Niggli reduction and is performed by the unified algorithm of Krivy and Gruber. The six scalar products of a rectangular matrix and the equivalent designation can be taken as the form of the Niggli reduced matrix. 

The similarity between the two algorithms inspired the work of Maday and Turinici [94]. They clarified the relationships between them and presented an unified formulation. In the formulation of Maday and Turinici [94], the iteration scheme is written as ... 

To date, the prior knowledge built into deconvolution algorithms has mainly been deterministic in nature, such as by use of positivity or boundedness. But a unified approach to estimating spectra should accommodate all possible physical and statistical prior knowledge about formation of the spectra. In particular, the approach should be physical, based on the Bose-Einstein nature of photons. Such an approach will be presented here. One general restoring principle will be derived, from which particular estimators... 

Fonseca, . M., Fleming, P. J. (1998) Multiobjective optimization and multiple constraint handling with evolutionary algorithms. I a unified formulation. IEEE Trans SystMan Cybernet 28, 26-37. 

Huang, H.Y., "A Unified Approach to Quadratically Convergent Algorithms for Function Minimization", JOTA, 1970 6 (3), 269. 

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