In automatic differentiation, vertex elimination is one of the many methods for Jacobian accumulation. However, finding the optimal vertex elimination sequence of a computational graph is a hard combinatorial optimization problem. In this paper, we propose an integer programming (IP) technique to tackle this problem, and we develop an IP formulation for it. This enables us to use a standard int...

By minimizing the total potential energy function and deploying the virtual work principle, a higher-order stiffness matrix is achieved. This new tangent stiffness matrix is used to solve the frame with geometric nonlinear behavior. Since authors’ formulation takes into account the higher-order terms of the strain vector, the convergence speed of the solution process will increase. In fac...

The high capacity of the agricultural sector in Kermanshah Province needs more attention for some reasons including weather and climate conditions, access to fertile lands, and ready-made labor force. The current research seeks to achieve a major strategy for the development of entrepreneurship activities in the agricultural sector of Kermanshah Province. To reach end a mixed research method wa...

  This paper analyzes the results of implementing Value Engineering (VE) into SWOT methodology undertaken in Yazd province of Iran. This is the first time that these techniques have been undertaken for fisheries sector in Iran. The study mainly aims at applying Value Engineering and SWOT techniques to achieve the best out of decision-making, and also of management issues as a whole, through the...

The increasing complexity of decision making in a severely dynamic competitive environment of the universe has urged the wise managers to have relevant strategic plans for their firms. Strategy is not formulated from one criterion but from multiple criteria in environmental scanning, and often, considering all of them is not possible. A list of criteria utilizing Delphi was selected by consu...