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An alternative solution to the “lost at sea” problem

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  • Brian Gluss

Abstract

A problem posed by Bellman and considered by Isbell is as follows: Suppose one is a mile from a straight shore with no means whatsoever of ascertaining its direction. What is the optimum path to follow so as to (a) minimize the maximum distance travelled in reaching shore, (b) minimize the statistical expectation of the distance travelled, or (c) maximize the probability of reaching shore within a given distance travelled? Isbell found the solution to (a); in the present paper a sequence of approximations to the optimal policy for (b) is considered.

Suggested Citation

  • Brian Gluss, 1961. "An alternative solution to the “lost at sea” problem," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 8(1), pages 117-122, March.
    • Handle: RePEc:wly:navlog:v:8:y:1961:i:1:p:117-122
    DOI: 10.1002/nav.3800080108
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    Cited by:

    1. Kindy R. Sjahrir, 2018. "Formulating Regional Competitiveness Fiscal Policy based upon Leverage Factors for Indonesian Data," Working Papers in Economics and Development Studies (WoPEDS) 201804, Department of Economics, Padjadjaran University, revised Dec 2018.

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