A ROBUST DECOMPOSITION OF LINEAR PROGRAMMING USING A GOAL-PARTITIONING METHOD

The Dantzig/Wolfe linear programming decomposition algorithm has had important economicinterpretations as well as a widespread impact on solving large scale linear programming problem.Inthis paper we consider a similar underlying structure,where however there is only one couplinginequality or equation.With this simplification,we demonstrate how to achieve an equitable partitionof the overall coupling resource to individual subproblem constraints through a simple iterationprocedure which appears to be very efficient.     

从技术进步角度探讨未来资金投入量和劳动投入量的最优规划

关于技术进步在经济发展中所起作用的定量分析,以及技术进步的预测,目前国内有不少学者在这方面做了大量的工作。特别是利用Solow中性计量经济增长模型来进行研究的就更多了。本文试图在此基础上,对未来资金投入量与劳动投入量的最优规划问题,从一个前人未提及过的角度,也即从技术进步的角度,作一初探。并以纺织工业为例,给出一个计算实例。