Accession Number : AD0433688


Title :   DECENTRALIZED MANAGEMENT OF INTERACTING PROCESSES: A TECHNIQUE OF NONLINEAR PROGRAMMING (II),


Corporate Author : CASE INST OF TECH CLEVELAND OHIO


Personal Author(s) : Lasdon,Leon ; Sengupta,S


Report Date : Jan 1944


Pagination or Media Count : 34


Abstract : Certain conditions are established under which an equilibrium point of the algorithm of priceadjustment is asymptotically stable in the large. These conditions are phrased as requirements on the functions involved in the original or integrated problem. It is shown that, although the usual concavity requirements (for maximization problems) are sufficient to guarantee stability, much less will suffice. Mathematically, this appears as the fact that, for stability, only the sum of certain quadratic forms - one for each sub-problem- must be negative, so that one or more positive terms may be cancelled by others sufficiently negative. An organizational interpretation of this result is attempted. (Author)


Descriptors :   OPTIMIZATION , STABILITY , COSTS , TIME , ECONOMICS , CONTROL


Distribution Statement : APPROVED FOR PUBLIC RELEASE