We show that Hausdorff dimension may be used to distinguish different dynamics of the relaxation in hierarchical systems. We examine the hierarchical systems following the temperature-dependent power-law decay and the Kohlrausch law. For our purposes, we consider a Lévy stochastic processes on p−adic integer numbers.

Abstract This paper presents a new and general approach, named “Stage- t Scenario Dominance,” to solve the risk-averse multi-stage stochastic mixed-integer programs (M-SMIPs). Given monotonic objective function, our method derives partial ordering of scenarios by pairwise comparing realization uncertain parameters at each time stage under scenario. Specifically, we derive bounds implications fr...

We consider N-fold 4-block decomposable integer programs, which simultaneously generalize N-fold integer programs and two-stage stochastic integer programs with N scenarios. In previous work [R. Hemmecke, M. Köppe, R. Weismantel, A polynomial-time algorithm for optimizing over N-fold 4block decomposable integer programs, Proc. IPCO 2010, Lecture Notes in Computer Science, vol. 6080, Springer, 2...

Production planning is a necessary process that directly affects the efficiency of production systems in most industries. The complexity current problem depends on increased options production, uncertainties demand and resources. In this study, stochastic multi-objective mixed-integer optimization model developed to ensure uncertainty conditions satisfy requirements sustainable development. sys...

in this paper, we study the problem of integrated capacitated hub location problem and seat inventory control considering concept and techniques of revenue management. we consider an airline company maximizes its revenue by utilizing the best network topology and providing proper booking limits for all itineraries and fare classes. the transportation system arises in the form of a star/star net...