A Profit-maximizing Plant-loading Model with Demand Fill-rate Constraints
作者:
MoonSangwon,
期刊:
Journal of the Operational Research Society
(Taylor Available online 1989)
卷期:
Volume 40,
issue 11
页码: 1019-1027
ISSN:0160-5682
年代: 1989
DOI:10.1057/jors.1989.175
出版商: Taylor&Francis
关键词: Benders' Decomposition;Economies of Scale;Mixed Integer;Network;Plant Loading
数据来源: Taylor
摘要:
AbstractThis paper discusses a new formulation of a class of plant product-mix loading problems which are characterized by capacitated production facilities, demand fill-rate requirements, fixed facility costs, concave variable production costs and an integrated network structure which encompasses inbound supply and outbound distribution flows. In particular, we are interested in assigning product lines and volumes to a set of capacitated plants under the demand fill-rate constraints. Fixed costs are incurred when a product line is assigned to a plant. The variable production-cost function also exhibits concavity with respect to each product-line volume. Thus both scale economies and plant focus effect are considered explicitly in the model. The model also can be used to determine which market to serve in order to best allocate the firm's resources. The problem formulation leads to a concave mixed-integer mathematical programme. Given the state of the art of non-linear programming techniques, it is often not possible to find global optima for reasonably sized problems. We develop an optimization algorithm within the framework of Benders' decomposition for the case of a piecewise linear concave cost function. Our algorithm generates optimal solutions efficiently.
点击下载:
PDF (4209KB)
返 回