A control of a biovmn storag system with two switcnoee deifts

David Perry, Shaul K. Bar-Lev

Research output: Contribution to journalArticlepeer-review

Abstract

We consider a bounded storage system whose content level is bounded between two critical levels 0 and 1. In the absence of any control, the content level process fluctuates as a Brownian motion with drift μ and reflected barriers at 0 and 1. We assume that the purpose of any control scheme of the system is to decrease the chance that the process hits the critical levels and increase the proportion of time it spends in a safe zone (a,b), 0 < a < b < 1, where a and b are chosen to minimize suitable cost functions. In this paper we consider a basic control scheme in which the controller is free to change (at any time) the drift of the Brownian motion and use two drift values. We study several variations of this control scheme and derive suitable cost functions).

Original languageEnglish
Pages (from-to)103-115
Number of pages13
JournalStochastic Analysis and Applications
Volume7
Issue number1
DOIs
StatePublished - Jan 1989

ASJC Scopus subject areas

  • Statistics and Probability
  • Statistics, Probability and Uncertainty
  • Applied Mathematics

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