Using the related duality theories of convex analysis, we derived the duality programming, the duality theorems and the Kuhn-Tucker conditions of general multicommodity minimal cost flow problems.

• 内层规划实际是单品种费用流问题；而外层问题是分离的凸规划；使用相关的凸分析理论；导出了广义多品种最小费用流问题的对偶规划；对偶定理和Kuhn.；Thcker条件