Inventory Planning in a Deterministic Environment: Continuous Time Model with Concave Costs

Article Abstract:

Several findings related to an inventory planning model in deterministic circumstances are featured. In problems where a certain program is specified, infinite demand is known for a finite period, in such a case, the value of the initial state of the system. Instantaneous replacements are also known as admissable replenishment if certain bounds are met and certain inventory levels are met. Relevant costs include instantaneous inventory costs, and a concave cost which has non-decreasing aspects. Five theorems and proofs, as well as the basis of the algorithm are delineated. Findings indicate an optimal control of the bang-bang variety, which is useful in limiting set controls to two elements, each of which sometimes contains optimality. Then, backward dynamic equations are employed, as well as a simple algorithm, and a mini- computer is used.

Planning, Computers, Laws, regulations and rules, Digital computers, Environmental aspects, Inventories, Cost (Economics), Costs (Economics)

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On the Convexification of Nonlinear Programming Problems: An Applications-Oriented Survey

Article Abstract:

Certain prominent classes of decision models point toward non-convex minimization problems that can be changed into convex problems through domain and range alterations. In so doing, the usefulness of algorithms in convex programming can be employed in various problems. In cases where there is no convex transformation present, an approximation of a non-convex objective using a convex one is necessary. This makes both with a priori and post-computational error bounds interesting points of consideration. An outline of convexation results is featured. A standard finite dimensional programming problem with a feasible set is the basis of the analysis. Significant classes of optimization programs probably adhere to a generalized convexity class delineated by a property along curve lines or parabola.

Analysis, Computer programming, Surveys, Industrial efficiency, Economic efficiency

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Decision Support Systems for Semi-Structured Buying Decisions

Article Abstract:

A Decision Support System (DSS) is promulgated for partially structured purchasing decisions based on the systems design evolution and the methods of learning selections in multicriteria decision making. The decision process model has four phases and exchanges: selection criteria and admissable alternative products, consistency between decision maker preference and analytical modelling, compromise preference model assessment, and alternative product evaluation according to compromise preference modeling. Graphs of conflict resolutions, output goals and criterion space are featured, as are tables of wholistic rankings. DSS is intended for use on a microcomputer.

Growth, Systems engineering

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