We consider the locally repairable codes (LRC), aiming at sequential recovering multiple erasures. We define the (n, k, r, t)SLRC (Sequential Locally Repairable Codes) as an [n, k] linear code where any t(≤ t) erasures can be sequentially recovered, each one by r (2 ≤ r < k) other code symbols. Sequential recovering means that the erased symbols are recovered one by one, and an already recovere...

This paper studies the problem of optimal switching for one-dimensional diffusion, which may be regarded as sequential optimal stopping problem with changes of regimes. The resulting dynamic programming principle leads to a system of variational inequalities, and the state space is divided into continuation regions and switching regions. By means of viscosity solutions approach, we prove the sm...

In this artide we p1'Opose a geneml framework for sequential dedsion making. The fi'amework is baSf.d on the observation that the. derication of the optimal behaviour ttnde.T various decision criteria follows the. same patte!"n: the cost of policies can be decomposed into the successive applicatlOn of an opemtor that defines the related dynamic programming algordhm and this ope.mtor descnbes co...

This paper deals with maintenance strategies with minimal repairs for single-unit repairable systems which are subject to competing and dependent failures due to degradation and traumatic shocks. The main aims are to study different approaches for making a minimal repair decision (i.e. time-based or condition-based) which is a possible corrective maintenance action under the occurrence of shock...

In any country, commercial banks lay the groundwork for economic growth by collecting national resources and capitals and allocating them to different economic sectors. Optimal allocation of resources is especially important in achieving this goal. Banks with an effective and dynamic system of customer assessment can efficiently allocate their resources to customers regardless of their geograph...

Stochastic optimal control is concerned with sequential decision-making under uncertainty. The theory of dynamic risk measures gives values to stochastic processes (costs) as time goes on and information accumulates. Both theories coin, under the same vocable of time-consistency (or dynamic-consistency), two different notions: the latter is consistency between successive evaluations of a stocha...

In this chapter, we consider the sequential interval estimation of the limiting interval reliability of a repairable system when the sequences of failure and repair times are generated by a bivariate stationary dependent sequence. In Section 7.2, we discuss the estimation of the limiting interval reliability ( ) R x for a stationary strong mixing bivariate sequence of failure and repair times. ...

The search for finite-state controllers for partially observable Markov decision processes (POMDPs) is often based on approaches like gradient ascent, attractive because of their relatively low computational cost. In this paper, we illustrate a basic problem with gradient-based methods applied to POMDPs, where the sequential nature of the decision problem is at issue, and propose a new stochast...

5.1 INTRODUCTION Up to now, warranty cost models for new products have been analyzed. In view of the present day market, customers are more attracted towards the secondhand products. Thus the present and the succeeding chapters of this thesis focus on analyzing the secondhand products by providing two-dimensional warranty for such products. A two-dimensional warranty policy is characterized by ...

introduction: family physician plan in iran was conducted to establish service referral system. its urban step began in 2012 and it was supposed that the effectiveness is enhanced and the costs are reduced. the implementation of this program has faced some challenges, especially in human resources management. the aim of this study was to optimally allocate human resources for urban family physi...