On the Use of the Simplex Algorithm for the Absolute Deviation Curve Fitting Problem

Article Abstract:

Frequently, linear curve-fitting dilemmas are solved with a criterion that minimizes the total of deviation squares of line observations. The validity of that treatment is linked to various assumptions which are too often untested. However, the curve-fitting function can be justified through computational tractibility. While another method that fits lines by employing a minimized sum criterion has appeal it has been neglected due to its computational complexity. Such a problem can be handled with linear programming. Three linear programming codes are given for the solution. Two are traditional implementations of the simplex method, and the other one is a unique purpose code created specifically for the problem. Batch manufacturing live data was used in the problem formulation. To develop a regression equation, research is channelled toward yield dependence on machine types. Tables of iteration data are featured, as are graphs.

Management science, Linear programming, Product information, Regression analysis, Operations Research

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An algorithm for storage device selection and file assignment

Article Abstract:

Proposed mathematical programs for characterizing a storage plan problem are evaluated. The method uses heuristics based on dynamic programming to derive an initial solution and an algorithm which uses column generation to search for the solution and provide a lower bound. Results show that the solutions generated by the algorithm have a less than one percent average suboptimality.

CD-RW drives, Optical storage devices, Erasable optical disk drives, Write-once, read-many, WORM drives

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A fast algorithm for two-dimensional pallet loading problems of large size

Article Abstract:

Research developing an algorithm aimed at solving the problem of loading an orthogonal pallet with identical rectangles without overlapping is presented. Particular attention is given to computational analyses demonstrating the success of this algorithm.

Methods, Pallets (Shipping, storage, etc.), Pallets (Platforms), Loading and unloading

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