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The burglar problem with multiple options

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  • Kai Chen
  • Sheldon M. Ross

Abstract

We consider the burglar problem in which a burglar can either retire or choose among different types of burglaries, with each type having its own success probability and reward distribution. Some general structural results are established and, in the case of exponentially distributed reward distributions, a solution technique is presented. The burglar problem's relationship to a stochastic knapsack problem with a random exponentially distributed knapsack capacity is shown. © 2014 Wiley Periodicals, Inc. Naval Research Logistics 61: 359–364, 2014

Suggested Citation

  • Kai Chen & Sheldon M. Ross, 2014. "The burglar problem with multiple options," Naval Research Logistics (NRL), John Wiley & Sons, vol. 61(5), pages 359-364, August.
    • Handle: RePEc:wly:navres:v:61:y:2014:i:5:p:359-364
    DOI: 10.1002/nav.21588
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    References listed on IDEAS

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    6. Grace Y. Lin & Yingdong Lu & David D. Yao, 2008. "The Stochastic Knapsack Revisited: Switch-Over Policies and Dynamic Pricing," Operations Research, INFORMS, vol. 56(4), pages 945-957, August.
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