a new mathematical model for the optimal production isformulated for the inventory management system under time-varyingand stochastic inflation environment for deteriorating items. the timehorizon is finite and demand rate is dependent to the inflation. in thereal situation, some but not all customers will wait for backlogged itemsduring a shortage period, such as for fashionable commodities or...

In the last decades, the study of convergence conditions for the iterative methods based on splittings to solve de linear system Ax = b, has arisen in the works of many authors. We can consider that there are two principal kind of matrices: the nonnegative matrices, studied by authors as Varga [7], Berman and Plemmons [1], Marek and Szyld [5] and more recently by Climent and Perea [3], and the ...

Title of Document: BASELINE ADJUSTMENT FOR ORDINAL COVARIATES BY INDUCING A PARTIAL ORDERING IN RANDOMIZED CLINICAL TRIALS. Na An, Master of Arts, 2007 Directed By: Professor Paul J. Smith Department of Mathematics In two-armed randomized clinical trials (RCTs) designed to compare a new treatment with a control, a key endpoint is often measured and analyzed both at baseline and after treatment ...

Rich-club and page-club coefficients and their null models are introduced for directed graphs. Null models allow for a quantitative discussion of the rich-club and page-club phenomena. These coefficients are computed for four directed real-world networks: Arxiv High Energy Physics paper citation network, Web network (released from Google), Citation network among US Patents, and Email network fr...

This work is based on the idea that extension of physical and mathematical theories to include the amount of space, time, momentum, and energy resources required to determine properties of systems may influence what is true in physics and mathematics at a foundational level. Background material, on the dependence of region or system sizes on both the resources required to study the regions or s...

Well-being and its inequality are inherently multidimensional concepts (Tobin, 1970; Sen, 1992). Multidimensional measures of inequality allow taking this multidimensionality explicitly into account. One of the important added values of such an approach compared to the standard unidimensional ones is its sensitivity to the dependence between the dimensions. Intuitively, we say that a multidimen...

The 2.1D sketch is a layered image representation, which assigns a partial depth ordering of over-segmented regions in a monocular image. This paper presents a global optimization framework for inferring the 2.1D sketch from a monocular image. Our method only uses over-segmented image regions (i.e., superpixels) as input, without any information of objects in the image, since (1) segmenting obj...

Partial ordering relations, first developed by Shannon and Csiszar for discrete memoryless channels, can be used for comparing certain information-theoretic properties of channels. In this paper we extend their ideas to multiple antenna channels and introduce three partial ordering relations that enable us to compare multiple antenna channels in different senses, namely, strong sense, weak sens...