..................................................................................................................... vii CHAPTER 1: INTRODUCTION ........................................................................................1 1.1 THESIS FOCUS .....................................................................................................1 1.2 MATHEMATICAL MODELING INTRODUCTION .....

The competitive vehicle routing problem is one of the important issues in transportation area. In this paper a new method for competitive VRP with time windows and stochastic demand is introduced. In the presented method a three time bounds are given and the probability of arrival time between each time bound is assumed to be uniform. The demands of each customer are different in each time wind...

Imperfect repair models are a class of stochastic models that deal with recurrent phenomena. This article focuses on the Block, Borges, and Savits (1985) age-dependent minimal repair model (the BBS model) in which a system that fails at time t undergoes one of two types of repair: with probability p(t), a perfect repair is performed, or with probability 1-p(t), a minimal repair is performed. Th...

In this paper, we suggest and justify a new, basic approach to modelling the imperfect repair corresponding processes for items with observable degradation. We consider monotone of degradation independent increments. Imperfect reduces an item on failure some intermediate level. To define state after repair, random virtual age is introduced. Some stochastic properties describing remaining lifeti...

in the present article, we focus on the numerical approximation of stochastic partial differential equations of itˆo type with space-time white noise process, in particular, parabolic equations. for each case of additive andmultiplicative noise, the numerical solution of stochastic diffusion equations is approximated using two stochastic finite difference schemes and the stability and consisten...

Building maintenance management involves decision-making under multiple objectives and uncertainty, in addition to budgetary constraints. This paper presents the development of a multiobjective and stochastic optimization system for maintenance management of roofing systems that integrates stochastic condition assessment and performance prediction models with a multiobjective optimization appro...

Transformer fault diagnosis and repair is a complex task that includes many possible types of faults and demands special trained personnel. Moreover, the minimization of the time needed for transformer fault diagnosis and repair is an important task for electric utilities, especially in cases where the continuity of supply is crucial. In this paper, Stochastic Petri Nets are used for the simula...

background inguinal hernia is the most prevalent surgical disease in clinical practice. endoscopic inguinal hernia repair has been shown to be slightly superior to open approaches. recent modifications in the minilaparoscopic technique may improve the totally extraperitoneal repair (tep) results. objectives we have performed a prospective study to analyze the feasibility of laparoscopic inguina...

Reliability and sensitivity issues are very close important problems in any technical system. The system’s is understood as the dependence of its behavior on changes some internal parameters. To perform analysis, a general procedure based theoretical numerical study proposed applied to repairable k-out-of-n model. results show asymptotic insensitivity non-stationary stationary characteristics s...