Accession Number : AD0771681

Title :   A Maximum Principle for Stochastic Networks.

Descriptive Note : Research rept.,

Corporate Author : CARNEGIE-MELLON UNIV PITTSBURGH PA MANAGEMENT SCIENCES RESEARCH GROUP

Personal Author(s) : Sethi,Suresh P. ; Thompson,Gerald L.

Report Date : JUN 1973

Pagination or Media Count : 20

Abstract : A maximum principle is obtained for stochastic networks that are defined by differing states of information. Using the Pontryagin maximum principle the authors define state and adjoint variables for each branch and find the relationships among them at tree nodes. An alternate approach is also made via dynamic programming which supplies intuitive interpretations for these relationships. Applications will include consumer style goods manufacturing. A simple application to a Christmas toy manufacturer's problem is given. (Author)

Descriptors :   *Production control, *Control theory, *Network flows, *Stochastic processes, Decision theory, Dynamic programming, Mathematical models

Subject Categories : Administration and Management
      Operations Research
      Mfg & Industrial Eng & Control of Product Sys

Distribution Statement : APPROVED FOR PUBLIC RELEASE