Searching for the Multiplier in One Constraint Optimization Problems.

Bennett L. Fox, Dale M. Landi

Expert InsightsPublished 1969

One-constraint optimization problems are approached via Lagrange multipliers. Sequential search schemes for generating suitable trial multiplier values are compared, and it is shown that, in general, the minimax sequential search is bisection. For certain applications, it pays to design search procedures that take advantage of special structure, such as recursively defined functions. An efficient, one-pass search procedure based on bisection for a multi-item, multi-echelon inventory problem is also presented. 25 pp. Ref.

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Fox, Bennett L. and Dale M. Landi, Searching for the Multiplier in One Constraint Optimization Problems. Santa Monica, CA: RAND Corporation, 1969. https://www.rand.org/pubs/papers/P4121.html.
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