To Whom, When, and How Much to Discount? A Constrained Optimization of Customized Temporal Discounts Joseph Johnson a,∗, Gerard J. Tellis b,1, Edward H. Ip c,2 a University of Miami, United States b Marshal School of Business, University of Southern California, United States c Wake Forest University School of Medicine, 3rd Floor MRI Building Medical Center Boulevard, Winston-Salem, NC 27103, Un...

and Applied Analysis 3 2.3. The Improved Accepted Condition for d k . Borrowed from the usual trust region idea, we also need to define the following predicted reduction for the violation function h(x) = ‖c(x)‖ 2 predc k = h (x k ) − 󵄩󵄩󵄩󵄩 c k + A T

Soft constraints are very flexible and expressive. However, they also are very complex to handle. For this reason, it may reasonable in several cases to pass to an abstract version of a given soft problem, and then to bring some useful information from the abstract problem to the concrete one. This will hopefully make the search for a solution, or for an optimal solution, of the concrete proble...

In this paper, a displacement-constrained volume-minimizing topology optimization model is present for two-dimensional continuum problems. The new model is a generalization of the displacement-constrained volume-minimizing model developed by Yi and Sui [1] in which the displacement is constrained in the loading point. In the original model the displacement constraint was formulated as an equali...

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