ﻻ يوجد ملخص باللغة العربية
We give asymptotic lower bounds of the value for Bruss optimal stopping problem with multiple stopping chances. It interestingly consists of the asymptotic threshold values in the optimal multiple stopping strategy. Another interesting implication of the result is that the asymptotic value for each secretary problem with multiple stoppings is in fact a typical lower bound in a much more general class of multiple stopping problems as modifications of odds problem.
Let $(X, mathcal{B},mu,T)$ be an ergodic measure preserving system, $A in mathcal{B}$ and $epsilon>0$. We study the largeness of sets of the form begin{equation*} begin{split} S = left{ ninmathbb{N}colonmu(Acap T^{-f_1(n)}Acap T^{-f_2(n)}Acapldotscap
We consider the file maintenance problem (also called the online labeling problem) in which n integer items from the set {1,...,r} are to be stored in an array of size m >= n. The items are presented sequentially in an arbitrary order, and must be st
The $alpha$-fair resource allocation problem has received remarkable attention and has been studied in numerous application fields. Several algorithms have been proposed in the context of $alpha$-fair resource sharing to distributively compute its va
Let $X_1,X_2,ldots$ and $Y_1,Y_2,ldots$ be two random sequences so that every random variable takes values in a finite set $mathbb{A}$. We consider a global similarity score $L_n:=L(X_1,ldots,X_n;Y_1,ldots,Y_n)$ that measures the homology (relatednes
The point placement problem is to determine the positions of a set of $n$ distinct points, P = {p1, p2, p3, ..., pn}, on a line uniquely, up to translation and reflection, from the fewest possible distance queries between pairs of points. Each distan