<Para ID="Par1">This paper introduces three novel techniques for updating the invertible representation of the basis matrix when solving practical sparse linear programming problems using a high performance implementation of the dual revised simplex method, being of particular value when suboptimization is...</para>

Разработан алгоритм определения оптимальной конфигурации и управления автономными энергетическими комплексами для решения оптимизационных задач с учетом...

Представлен метод решения задач, связанных с эффективным энергоснабжением, с учетом реальных графиков энергетических нагрузок и взаимосвязи компонентов схемы:...

Разработаны математическая модель обобщенной схемы энергокомплекса, численный метод для анализа и оптимизации схемных решений и программное обеспечение,...

Farmers’ relative efficiency evaluation can be useful to aid decision-making in agriculture. The use of Data Envelopment Analysis (DEA) in this context allows the identification of inefficiencies sources and benchmark units. This paper used DEA to measure the efficiency of farmers’ sample...

<Para ID="Par1">This paper deals with the average-case-analysis of the number of pivot steps required by the simplex method. It generalizes results of Borgwardt (who worked under the assumpution of the rotation-symmetry-model) for the shadow-vertex-algorithm to so-called cylindric distributions. Simultaneously...</para>

<Para ID="Par1">A strongly polynomial-time algorithm is proposed for the strict homogeneous linear-inequality feasibility problem in the positive orthant, that is, to obtain <InlineEquation ID="IEq1"> <EquationSource Format="TEX">$$x\in \mathbb {R}^n$$</EquationSource> <EquationSource Format="MATHML"> <math xmlns:xlink="http://www.w3.org/1999/xlink"> <mrow> <mi>x</mi> <mo>∈</mo> <msup> <mrow> <mi mathvariant="double-struck">R</mi> </mrow> <mi>n</mi> </msup> </mrow> </math> </EquationSource> </InlineEquation>, such that <InlineEquation ID="IEq2"> <EquationSource Format="TEX">$$Ax 0$$</EquationSource> <EquationSource Format="MATHML"> <math xmlns:xlink="http://www.w3.org/1999/xlink"> <mrow> <mi>A</mi> <mi>x</mi> <mo></mo> <mn>0</mn> </mrow> </math> </EquationSource> </InlineEquation>, <InlineEquation ID="IEq3"> <EquationSource Format="TEX">$$x 0$$</EquationSource> <EquationSource Format="MATHML"> <math xmlns:xlink="http://www.w3.org/1999/xlink"> <mrow> <mi>x</mi> <mo></mo> <mn>0</mn> </mrow> </math> </EquationSource> </InlineEquation>, for an <InlineEquation ID="IEq4"> <EquationSource Format="TEX">$$m\times n$$</EquationSource> <EquationSource Format="MATHML"> <math xmlns:xlink="http://www.w3.org/1999/xlink"> <mrow> <mi>m</mi> <mo>×</mo> <mi>n</mi> </mrow> </math> </EquationSource>...</equationsource></equationsource></inlineequation></equationsource></equationsource></inlineequation></equationsource></equationsource></inlineequation></equationsource></equationsource></inlineequation></para>

I use linear programming models to define standardised, aggregate environmental performance indicators for firms. The best practice frontier obtained corresponds to decision making units showing the best environmental behaviour. Results are obtained with data from U.S. fossil fuel-fired electric...