On Lagrange Multipliers in Work with Quality and Reliability Assurance

Rene Victor Valqui Vidal, P. Becker

    Research output: Contribution to journalJournal articleResearchpeer-review

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    Abstract

    In optimizing some property of a system, reliability say, a designer usually has to accept certain constraints regarding cost, completion time, volume, weight, etc. The solution of optimization problems with boundary constraints can be helped substantially by the use of Lagrange multipliers techniques (LMT). With representative examples of increasing complexity, the wide applicability of LMT is illustrated. Two particular features are put in focus. First, an easy to follow yet powerful new graphical approach is presented, Second, the concept of Fuller-Polya maps is shown to be helpful in the areas of sales promotion and teaching. These maps illuminate the logic structure of solution sequences. One such map is shown, illustrating the application of LMT in one of the examples.
    Original languageEnglish
    JournalI E E E Journal on Selected Areas in Communications
    Volume4
    Issue number7
    Pages (from-to)1143-1148
    ISSN0733-8716
    Publication statusPublished - 1986

    Bibliographical note

    © 1986 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE

    Keywords

    • Lagrange multipliers
    • quality
    • optimization

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