bc—prod:针对批量问题的专用分支切割系统

bc — prod: A Specialized Branch-and-Cut System for Lot-Sizing Problems

Management Science · 2000
被引 170
人大 A+FT50UTD24ABS 4*

中文导读

介绍bc—prod原型系统,用户可用XPRESS-MP建模语言将批量问题表述为混合整数规划,系统通过专用预处理、切割平面和启发式算法求解,适用于多种离散时间批量模型。

Abstract

bc — prod is a prototype modelling and optimization system designed and able to tackle a wide variety of the discrete-time lot-sizing problems arising both in practice and in the literature. To use bc — prod, the user needs to formulate his/her problem as a mixed integer program using XPRESS-MP's mp — model, a standard mathematical programming modelling language, taking into account a reserved set of key words for specific lot-sizing objects, such as production variables, storage, and demand data, etc. The problem is then solved by the XPRESS-MP branch-and-bound system including lot-sizing specific preprocessing, cutting planes for different aspects of lot-sizing problems, plus general cutting planes, and a lot-sizing-specific primal heuristic. Results are presented for a wide variety of big bucket and small bucket models with set-up and start-up costs and times.

批产批量问题分支切割系统混合整数规划切割平面