Topical issue

Structural-parametric optimization of a complex of intersecting sets of operations under nonstationary demand

A. B. Dolgui^a, G. M. Levin^b, B. M. Rozin<sup>b

a</sup> IMT Atlantique, LS2N-CNRS, Nantes, France
^b United Institute of Informatics Problems, Belarussian National Academy of Sciences, Minsk, Belarus

Abstract: We consider the problem of optimizing the production planning with aggregation of operations and selection of their intensities for batch processing of a given family of products on a multi-position reconfigurable production system at specified (time) intervals under nonstationary deterministic demand. Backlog is allowed. Aggregation of operations is invariable for the entire planning period, the composition of the batch and intensities of processing operations are invariable within an interval, but can vary from interval to interval. As the objective function we use the planned profit. Investment costs are determined by the aggregation option. Time and material costs for the manufacturing of a batch of products during each interval depend on the aggregation of operations, intensities of their implementation, and costs of reconfiguring the equipment. Logistic costs include the cost of storing unclaimed products, lost added value, and penalties for unmet demand. We propose a three-level decomposition method for solving the problem.

Keywords: production system, product batch, aggregation of operations, processing intensity, nonstationary demand, profit maximization, decomposition method.

Presented by the member of Editorial Board: A. A. Lazarev

Received: 17.07.2019
Revised: 12.10.2019
Accepted: 28.11.2019

DOI: 10.31857/S0005231020050037

 English version: Automation and Remote Control, 2020, 81:5, 791–802

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