Multiuser MISO Beamforming for Simultaneous
... no dedicated energy beam is used to achieve the optimal solution, while for the case of Type II ID receivers, employing no more than one energy beam is optimal. It is worth noting that SDR has been widely applied in the MISO broadcast channel (see, e.g., [10], [11] and the references therein) to obt ...
... no dedicated energy beam is used to achieve the optimal solution, while for the case of Type II ID receivers, employing no more than one energy beam is optimal. It is worth noting that SDR has been widely applied in the MISO broadcast channel (see, e.g., [10], [11] and the references therein) to obt ...
Optimal consumption and portfolio choice with borrowing constraints
... feedback form through the first order conditions from the Bellman equation. Because of the smoothness of the value function, the optimal policies are respectively continuously differentiable (C t ) and continuous (X t ) functions of the wealth. In the second part of paper, we study the particular ca ...
... feedback form through the first order conditions from the Bellman equation. Because of the smoothness of the value function, the optimal policies are respectively continuously differentiable (C t ) and continuous (X t ) functions of the wealth. In the second part of paper, we study the particular ca ...
21-762
... choosing a quadrature rule is to use a rule that will integrate inner products of basis functions exactly, but not too much more. For example, for our piecewise linear basis functions, the 2-point Gaussian rule will do. It is important to note that the values of the basis functions at quadrature poi ...
... choosing a quadrature rule is to use a rule that will integrate inner products of basis functions exactly, but not too much more. For example, for our piecewise linear basis functions, the 2-point Gaussian rule will do. It is important to note that the values of the basis functions at quadrature poi ...
Convex Optimization Overview
... constraints limit actions or impose conditions on outcome the smaller the objective f0 (x), the better I I I I ...
... constraints limit actions or impose conditions on outcome the smaller the objective f0 (x), the better I I I I ...
An Algorithm For Finding the Optimal Embedding of
... derived [9] by exploiting the structure of the stationary points we only need to find a point on the Stiefel manifold that attains this value. In section 3 we introduce the second problem and show by means of the derivations arising in the first problem that the second problem is equivalent to a con ...
... derived [9] by exploiting the structure of the stationary points we only need to find a point on the Stiefel manifold that attains this value. In section 3 we introduce the second problem and show by means of the derivations arising in the first problem that the second problem is equivalent to a con ...
Math 442/542
... A company is planning its advertising strategy for next year for its three major products. Since the three products are quite different, each advertising effort will focus on a single product. In units of millions of dollars, a total of 6 is available for advertising next year, where the advertising ...
... A company is planning its advertising strategy for next year for its three major products. Since the three products are quite different, each advertising effort will focus on a single product. In units of millions of dollars, a total of 6 is available for advertising next year, where the advertising ...
a multi-period investment selection model for strategic
... of way (MOW) cost. The relative importance of the construction cost (α) and flow costs (β) depends on the planning horizon. The longer the planning horizon, the more the railroads would be willing to invest due to larger reductions in flow cost over time. τ is the penalty assigned to avoid unfulfill ...
... of way (MOW) cost. The relative importance of the construction cost (α) and flow costs (β) depends on the planning horizon. The longer the planning horizon, the more the railroads would be willing to invest due to larger reductions in flow cost over time. τ is the penalty assigned to avoid unfulfill ...
A unique solution to the 2-D H-scattering problem for a semicircular
... Such simulations are very useful in CEM, but they need for testing with the aid of some rigorous method. As such a test method, one could use a solution for scattering from semicircular trough. Many authors treated this problem. In [5–7], this one has been reduced to a 1st kind integral equation. In ...
... Such simulations are very useful in CEM, but they need for testing with the aid of some rigorous method. As such a test method, one could use a solution for scattering from semicircular trough. Many authors treated this problem. In [5–7], this one has been reduced to a 1st kind integral equation. In ...
Multiple-criteria decision analysis
Multiple-criteria decision-making or multiple-criteria decision analysis (MCDA) is a sub-discipline of operations research that explicitly considers multiple criteria in decision-making environments. Whether in our daily lives or in professional settings, there are typically multiple conflicting criteria that need to be evaluated in making decisions. Cost or price is usually one of the main criteria. Some measure of quality is typically another criterion that is in conflict with the cost. In purchasing a car, cost, comfort, safety, and fuel economy may be some of the main criteria we consider. It is unusual that the cheapest car is the most comfortable and the safest one. In portfolio management, we are interested in getting high returns but at the same time reducing our risks. Again, the stocks that have the potential of bringing high returns typically also carry high risks of losing money. In a service industry, customer satisfaction and the cost of providing service are two conflicting criteria that would be useful to consider.In our daily lives, we usually weigh multiple criteria implicitly and we may be comfortable with the consequences of such decisions that are made based on only intuition. On the other hand, when stakes are high, it is important to properly structure the problem and explicitly evaluate multiple criteria. In making the decision of whether to build a nuclear power plant or not, and where to build it, there are not only very complex issues involving multiple criteria, but there are also multiple parties who are deeply affected from the consequences.Structuring complex problems well and considering multiple criteria explicitly leads to more informed and better decisions. There have been important advances in this field since the start of the modern multiple-criteria decision-making discipline in the early 1960s. A variety of approaches and methods, many implemented by specialized decision-making software, have been developed for their application in an array of disciplines, ranging from politics and business to the environment and energy.