This paper introduces some notions of effective dimension for weighted function spaces. A space has low effective dimension if the smallest ball in it that contains a function of variance 1, has no functions with large values of certain ANOVA mean squares. For a Sobolev space of periodic functions defined by product weights we get explicit formulas describing effective dimension in terms of tho...

This paper explores the flexile flow lines where setup times are sequence- dependent. The optimization criterion is the minimization of total weighted completion time. We propose an iterated greedy algorithm (IGA) to tackle the problem. An experimental evaluation is conducted to evaluate the proposed algorithm and, then, the obtained results of IGA are compared against those of some other exist...

We consider weighted shift operators having the property of moment infinite divisibility; that is, for any \(p > 0\), is subnormal when every weight (equivalently, moment) raised to p-th power. By reconsidering sequence conditions weights or moments shift, we obtain a new characterization such shifts, and prove shifts are, under mild conditions, robust variety operations also rigid in certain s...