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A minmax search for the critical level of a system: The asymmetric case

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  • Noomi Abigadol
  • Aharon Ben‐Tal

Abstract

We consider a system composed of k components, each of which is subject to failure if temperature is above a critical level. The failure of one component causes the failure of the system as a whole (a serially connected system). If zi is the critical temperature of the ith component then z* = min{zi: i = 1,2,…, k} is the critical level of the system. The components may be tested individually at different temperature levels, if the temperature is below the critical level the cost is $1, otherwise the test is destructive and the cost is m > 1 dollars. The purpose of this article is to construct, under a budgetary constraint, an efficient (in a minmax sense) testing procedure which will locate the critical level of the system with maximal accuracy.

Suggested Citation

  • Noomi Abigadol & Aharon Ben‐Tal, 1985. "A minmax search for the critical level of a system: The asymmetric case," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 32(1), pages 137-154, February.
    • Handle: RePEc:wly:navlog:v:32:y:1985:i:1:p:137-154
    DOI: 10.1002/nav.3800320117
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