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In this paper, we study the stochastic root matrices of stochastic matrices. All stochastic roots of 2¥2 stochastic matrices are found explicitly. A method based on characteristic polynomial of matrix is developed to find all real root matrices that are functions of the original 3¥3 matrix, including all possible (function) stochastic root matrices. In(More)
Firstly, dynamic programming is employed in the development of an optimal torque controller for sinusoidal permanent magnet synchronous motors (PMSM). In particular, a solution that can handle non-zero state tracking is of interest. Secondly, it is shown that the resulting optimal control solution converges to that of linear quadratic regulators (LQR). An(More)
Forestry has contributed many problems to the Operations Research (OR) community. At the same time, OR has developed many models and solution methods for use in forestry. In this article, we describe the current status of research on the application of OR methods to forestry and a number of research challenges or open questions that we believe will be of(More)
The modeling approach used by most organizations to do strategic wood supply analysis usually pays little attention to the location issues that are important to the supply chain. This paper raises questions about the conventional approach and suggests that the strategic linear programming models should contain much more spatial and market information. We(More)
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