A Priori Estimates in the Production Planning Task

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Year:
2016
Type of Publication:
Article
Keywords:
Basic Plan, Complementary Problem, Evaluation, Objective Function, Tangent Point
Authors:
A. Shapiro
Journal:
IJISM
Volume:
4
Number:
3
Pages:
128-131
Month:
May
ISSN:
2347-9051
Abstract:
A basic plans group of production planning was marked out and investigated. The boundary values of the problem variables were identified. On this basis a priori estimates of the optimal values of the objective functions of its direct and complementary problems were obtained. The geometric locus of the angular points set was defined for every problem. The additional opportunities for post optimal analysis are shown. Using a suitable surface area the estimates can be adjusted. An algorithm for determining a given accuracy of the optimal value of the objective function is offered, a description of the corresponding computer program is given. An ellipsoid containing the range of possible solutions of a problem is defined. Examples are given.

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