The book designs the algorithms for multi-stage and bi-criteria optimization and for counting the solutions in the framework of this model.\nAs applications, this book studies eleven known combinatorial optimization problems: matrix chain multiplication, global sequence alignment, optimal paths in ...
This paper discusses the simultaneous management of active and reactive power of a flexible renewable energy-based virtual power plant placed in a smart distribution system, based on the economic, operational, and voltage security objectives of the distribution system operator. The formulated problem aim...
This method includes first deciding objectives (decision matrix) and then calculations of the normalized decision matrix, probability of the attribute/response to take place, the entropy value of attribute/response, degrees of divergence (average information contained) by each response and after that ...
We define the initial uncertain model assuming that only the elements of matrix A have uncertainty as follows: (28) The assumptions and definitions of the model components are as follows: Si: a subset of coefficients in line i that have uncertainty. : the value of the coeffici...
of its protein partner. We first define a pairwise interaction matrix to describe the non-covalent interactions between the input compound and protein pair. More specifically, for a compound withNanon-hydrogen atoms and a protein withNrresidues, their pairwise interaction matrixPis defined as anNa...
Taking the left attitude adjustment platform as an example, the transformation matrix of the end coordinate system {𝐽4}{J4} to the base frame coordinate system {𝑆𝐿} {SL} is as follows: 𝑇𝑆𝐿J4=∏𝑖=14𝑇𝑖−1𝑖=⎡⎣⎢⎢⎢⎢𝑐𝜃𝑖𝑠𝜃𝑖𝑐𝛼...
Taking the left attitude adjustment platform as an example, the transformation matrix of the end coordinate system {𝐽4}{J4} to the base frame coordinate system {𝑆𝐿} {SL} is as follows: 𝑇𝑆𝐿J4=∏𝑖=14𝑇𝑖−1𝑖=⎡⎣⎢⎢⎢⎢𝑐𝜃𝑖𝑠𝜃𝑖𝑐𝛼...
FLP models found in the literature typically account for imprecision in the coefficients of the objective function, the right-hand side values, and the coefficient matrix elements. Over the past four decades, researchers have investigated various FLP problems and proposed diverse models for addressing ...
Distance matrix for hydrogen transportation. Figure A2. Toll cost matrix for hydrogen transportation. References Morales, A.; Pérez, M.; Pérez, J.; De León, S. Energías renovables y el hidrógeno: Un par prometedor en la transición energética de México. Investig. Cienc. 2017, 25,...
However, this method only focuses on the crisp evaluation in which the data of the decision matrix are in the form of numerical values. The decision makers always find it difficult to measure the alternative due to the fact that the evaluation process is carried out in a variety of ...