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International Journal of Systems Science Volume 28, 1997 - Issue 12
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Original Articles

Two-level optimization for decentralized production and advertising planning

DANNY I. CHO Faculty of Management, University of Northern British Columbia, Prince George, BC, V2N 4Z9, Canada Fax: E-mail: e-mail: [email protected]
Pages 1319-1323 | Received 11 Oct 1996, Accepted 18 Jun 1997, Published online: 06 Apr 2007

References

  • ABAD , P. M. , 1982 , Approach to decentralized marketing production planning . International Journal of System Science , 13 , 227 – 235 ; 1985, Two-level algorithm for decentralized control of a serially connected dynamic system. Ibid., 16, 619–624.
  • CHO , D. M. , 1996 , Analysis of optimal production and advertising policies . International Journal of Systems Science. , 27 , 1297 – 1305 .
  • HARTL , R. M. , SETHI , S. M. , and VICKSON , R. M. , 1992 , A survey of the maximum primciple for optimal control problems with pure state constraints . Research report , Institute of Econometrics, Technical University of Vienna , Austria .
  • HESTENES , M. M. , 1966 , Calculus of Variations and Optimal Control Theory ( New York : Wiley ).
  • JOHNSON , C. M. , and GIBSON , J. M. , 1963 , Singular solution in problems of optimal control . IEEE Transactions on Automatic Control. , 8 , 4 – 15 .
  • PARLAR , M. , 1986 , A problem in jointly optimal production and advertising decisions . International Journal of Systems Science. , 17 , 1373 – 1380 .
  • ROBERTS , S. M, and SHIPMAN , J. M. , 1972 , Two Point Boundary Value Problems: Shooting Methods ( New York : American Elsevier ).
  • RUSSAK , I. M. , 1970 , On problems with bounded state variables . Journal of Optimization: Theory and Application. , 5 , 114 – 157 .
  • SETHI , S. M. , and THOMPSON , G. M. , 1981 , Optimal Control Theory: Applications to Management Science ( Boston : Martinus Nijhoff Publishing ).
  • SINGH , M. M. , 1980 , Dynamic Hierarchical Control ( Amsterdam : North-Holland ).

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