this paper is devoted to the study of determining optimal process mean in system production with the two markets for the sale of goods. in this paper, we developed an absorbing markov chain model in production systems where all items are inspected %100 for conformance with their specification limits. when the value of the quality characteristic of an item falls below a lower limit, the item is ...

We develop, implement and study a new Bayesian spatial mixture model (BSMM). The proposed BSMM allows for spatial structure in the binary activation indicators through a latent thresholded Gaussian Markov random field. We develop a Gibbs (MCMC) sampler to perform posterior inference on the model parameters, which then allows us to assess the posterior probabilities of activation for each voxel....

This paper addresses an effective learning method that enables us to directly optimize neural network classifier's discrimination performance at a desired local operating range by maximizing a partial area under a receiver operating characteristic (ROC) or domain-specific curve, which is difficult to achieve with classification accuracy or mean squared error (MSE)-based learning methods. The ef...

In this paper, we investigate four methods that yield mathematical measures to analyze the precision of surfaces of manufactured parts. These four methods, namely the au-tocorrelation function, the Fourier spectrum, the Karhunen-Lo eve expansion, and a fractal-wavelet representation, are applied to surfaces produced from grinding processes. The rst two methods are standard methods used in the s...

Taguchi methods provide a comprehensive methodology for quality improvement. The objective is based on a robust design and involves conducting experiments using orthogonal arrays and the estimation factor levels combination that optimizes a given performance measure, typically a Signal-to-Noise ratio. The problem is more complex in the case of multiple responses since the combinations of factor...

Abstract We address the problem of integrability sub-Riemannian mean curvature an embedded hypersurface around isolated characteristic points. The main contribution this paper is introduction a concept mildly degenerate point for smooth surface Heisenberg group, in neighborhood which integrable (with respect to perimeter measure induced by Euclidean structure). As consequence, we partially answ...