Abstract
In this paper we present an algorithm to solve a two-level hierarchical resource control problem with linear constraints and objective functions and one decision maker at each level. The algorithm explicitly takes into consideration the hierarchical structure of the problem and the sequential nature of the decision making process. An illustrative example is also included.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Bard, J.F. and Falk, J.E. (1982). An explicit solution to the multi-level programming problem. J. of Comput. and Ops. Res 9, 77–100.
Bialas, W.F. and Chew, M.N. (1981). A game-theoretic approach to coalition formation in multi-level decision making organization. Tech. Report, Operations Research Program, Department of Industrial Engineering, SUNY at Buffalo, Buffalo, New York.
Bialas, W.F. and Karwan, M.H. (1981). On two-level optimization. IEEE Transactions on Automatic Control, AC-27, 211–214.
Bialas, W.F., Karwan, M.H. and Shaw, J.P. (1980). A parametric complementary pivot approach for two-level linear programming. Research Report No. 80–2, Operations Research Program, Department of Industrial Engineering, SUNY at Buffalo, Buffalo, New York.
Fortuny-Amat, J. and McCarl, B. (1979). Multi-level programming. Technical Report, Department of Industrial Engineering, Purdue University, Lafayette, Indiana.
Narula, S.C. and Nwosu, A.D. (1982). A dynamic programming solution for the hierarchical linear programming problem. Research Report No. 37–82-P10, Rensselaer Polytechnic Institute, Troy, New York.
Shavell, S. (1979). Risk sharing and incentives in the principal and agent relationships. Bell J. of Economics 10, 55–73.
Srinivasan, V. (1981). An investigation of the equal commission rate policy for a multiproduct salesforce. Management Science,27 731–756.
Wen, U. (1981). Mathematical methods for multi-level linear programming. Ph.D. Dissertation, Department of Operations Research, SUNY at Buffalo, Buffalo, New York.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1983 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Narula, S.C., Nwosu, A.D. (1983). Two-Level Hierarchical Programming Problem. In: Hansen, P. (eds) Essays and Surveys on Multiple Criteria Decision Making. Lecture Notes in Economics and Mathematical Systems, vol 209. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-46473-7_28
Download citation
DOI: https://doi.org/10.1007/978-3-642-46473-7_28
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-11991-3
Online ISBN: 978-3-642-46473-7
eBook Packages: Springer Book Archive