In this paper, we show a significant role that geometric properties of uncertainty sets, such as symmetry, play in determining the power of robust and finitely adaptable solutions in multistage stochastic and adaptive optimization problems. We consider a fairly general class of multistage mixed integer stochastic and adaptive optimization problems and propose a good approximate solution policy ...

Airlines must dynamically choose how to allocate their flight capacity to incoming travel demand. Because some passengers take connecting flights, the decisions for all network flights must be made simultaneously. To simplify the decision making process, most practitioners assume demand is deterministic and equal to average demand. We propose a multistage stochastic programming approach that mo...

Objectives: To evaluate the results of one-stage and multistage urethroplasty in adults with complications following multiple failed hypospadias repairs. Methods: Sixty adults underwent reconstructive surgery of the following complications after hypospadias repair: stricture (34), residual hypospadias (26), fistula (18), meatal stenosis (11), penile curvature (9), hair (4), diverticula (2), and...

In this paper we present the multistage oo-line method, a new and rather natural way to model oo-line packet routing problems, which reduces the problem of oo-line packet routing to that of nding edges disjoint paths on a multistage graph. The multistage oo-line method can model any kind of routing pattern on any graph and can incorporate the size of the maximum queue allowed to be created in a...

In this paper we present the multistage oo-line routing model, a new and rather natural, way to model oo-line packet routing problems. With this model, the problem of oo-line packet routing reduces to the problem of nding edge disjoint paths on a multistage graph. The multistage oo-line routing model can model any kind of routing pattern on any graph. Furthermore, it incorporates the size of th...

In this paper, we have established a new framework of multistage hypothesis tests. Within the new framework, we have developed specific multistage tests which guarantee prescribed level of power and are more efficient than previous tests in terms of average sampling number and the number of sampling operations. Without truncation, the maximum sampling numbers of our testing plans are absolutely...

The author wishes to thank Bryan Orme for conducting many of the calculations in this paper.

BACKGROUND Participation and performance trends regarding the nationality of ultraendurance athletes have been investigated in the triathlon, but not in running. The present study aimed to identify the countries in which multistage ultramarathons were held around the world and the nationalities of successful finishers. METHODS Finisher rates and performance trends of finishers in multistage u...