Article ID: | iaor19972148 |
Country: | Netherlands |
Volume: | 72 |
Issue: | 3 |
Start Page Number: | 574 |
End Page Number: | 587 |
Publication Date: | Feb 1994 |
Journal: | European Journal of Operational Research |
Authors: | Chern Maw-Sheng, Jan Rong-Hong |
Keywords: | programming: integer, programming: parametric |
In many decentralized organizations, resource planning with sequential decision making can be formulated as a multi-level programming problem. In such cases, the decision variables are partitioned among the decision makers. Each of the decision makers optimizes his/her own objective function. This paper presents an algorithm using parametric analysis to solve a typical kind of nonlinear integer multilevel programming problems, called separable integer monotone bilevel programming (SIMBP), and then extends the algorithm for solving a parametric SIMBP problem. A numerical example with application of reliability optimization is given to illustrate the solution method.