Structural-Parametric Optimization of a Complex of Intersecting Sets of Operations under Nonstationary Demand

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.