ABSTRACT
Multilevel pre-emptive hierarchical programming problems arise whenever the control over the decision variables is partitioned among several independent decision makers representing various levels of an organization; and the decisions are not made simultaneously and in concert but in a sequence. Because of the inherent nonconvexity of the problem it is not an easy matter to find an optimal solution even for a bilevel linear programming problem. Our objective is to review the literature on the multilevel pre-emptive hierarchical programming problem.
