the development of optimization and mathematical models for closed loop supply chain (clsc) design has attracted considerable interest over the past decades. however, the uncertainties that are inherent in the network design and the complex interactions among various uncertain parameters are challenging the capabilities of the developed tools. the aim of this paper, therefore, is to propose a n...

nonlinear knapsack problems (nkp) are the alternative formulation for the multiple-choice knapsack problems. a powerful approach for solving nkp is dynamic programming which may obtain the global op-timal solution even in the case of discrete solution space for these problems. despite the power of this solu-tion approach, it computationally performs very slowly when the solution space of the pr...

A two-input–multiple-output (TIMO) system represents an important special case of multiple-input–multiple-output (MIMO) systems in practical scenarios. In this paper, transmit optimization for TIMO spatial multiplexing systems is investigated. Minimum bit-error rate (MBER) is employed as the optimization criterion. Approximate MBER transmit power allocation for a variety of receiver structures ...

One method to estimate image values in the presence of noise and discontinuities is to try all possible configurations of discontinuities in a neighborhood, and then select the one that yields the best estimate according to some criterion. We call these methods multiple oriented filters since each configuration is usually a rotated and shifted version of another. Multiple oriented filters work ...

In this letter, we propose a novel adaptive reducedrank strategy based on joint iterative optimization (JIO) of filters according to the minimization of the bit error rate (BER) cost function. The proposed optimization technique adjusts the weights of a subspace projection matrix and a reduced-rank filter jointly. We develop stochastic gradient (SG) algorithms for their adaptive implementation ...

This paper considers optimization of the ridge parameters in generalized ridge regression (GRR) by minimizing a model selection criterion. GRR has a major advantage over ridge regression (RR) in that a solution to the minimization problem for one model selection criterion, i.e., Mallows’ Cp criterion, can be obtained explicitly with GRR, but such a solution for any model selection criteria, e.g...

Kriging-based exploration strategies often rely on a single Ordinary Kriging model which parametric covariance kernel is selected a priori or on the basis of an initial data set. Since choosing an unadapted kernel can radically harm the results, we wish to reduce the risk of model misspecification. Here we consider the simultaneous use of multiple kernels within Kriging. We give the equations o...

This paper presents an efficient and compact Matlab code to solve three-dimensional topology optimization problems. The 169 lines comprising this code include finite element analysis, sensitivity analysis, density filter, optimality criterion optimizer, and display of results. The basic code solves minimum compliance problems. A systematic approach is presented to easily modify the definition o...

Presently, the limit theory of evolutionary algorithms (EA) for mono-criterion optimization under certainty is well developed. The situation is different for the fields of evolutionary optimization under complete or partial uncertainty, multiple criteria and so forth. Since these problem classes may be seen as special cases of the task of finding the set of minimal (or maximal) elements in part...

We propose a class of functions, called multiple objective satisficing (MOS) criteria, for evaluating the level of compliance of a set of objectives in meeting their targets collectively under uncertainty. The MOS criteria include the targets’ achievement probability (success probability criterion) as a special case and also extend to situations when the probability distribution is not fully ch...