About: We examine a capacitated system exposed to random stepwise capacity disruptions with exponentially distributed interarrival times and uniformly distributed magnitudes. We explore two countermeasure policies for a risk-neutral decision maker who seeks to maximize the long-run average reward. A one-phase policy considers implementation of countermeasures throughout the entirety of a disruption cycle. The results of this analysis form a basis for a two-phase model which implements countermeasures during only a fraction of a disruption cycle. We present an extensive numerical analysis as well as a sensitivity study on the fluctuations of some system parameter values.   Goto Sponge  NotDistinct  Permalink

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  • We examine a capacitated system exposed to random stepwise capacity disruptions with exponentially distributed interarrival times and uniformly distributed magnitudes. We explore two countermeasure policies for a risk-neutral decision maker who seeks to maximize the long-run average reward. A one-phase policy considers implementation of countermeasures throughout the entirety of a disruption cycle. The results of this analysis form a basis for a two-phase model which implements countermeasures during only a fraction of a disruption cycle. We present an extensive numerical analysis as well as a sensitivity study on the fluctuations of some system parameter values.
Subject
  • Utility
  • Survival analysis
  • Numerical analysis
  • Prospect theory
  • Exponentials
  • Mathematical physics
  • Conjugate prior distributions
  • Infinitely divisible probability distributions
  • Computational science
  • Financial risk
  • Continuous distributions
  • Exponential family distributions
  • Location-scale family probability distributions
  • Poisson point processes
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