Some of the real life decisions are made in decentralized manner under uncertainty. Stochastic bi-level linear programming problems are used to handle such decision making problems. In this paper, we have proposed stochastic bi-level linear programming problems where some of the right hand side parameters of the constraints in both first (leader) and second level (follower) as normal and log-no...

Optimization problems involving two decision makers at two different decision levels are referred to as bilevel programming problems. In this work, we present a novel algorithm for the exact and global solution of two classes of bi-level programming problems, namely (i) bi-level mixed-integer linear programming problems (B-MILP) and (ii) bi-level mixed-integer quadratic programming problems (B-...

In this paper, the common centralized DEA models are extended to the bi-level centralized resource allocation (CRA) models based on revenue efficiency. Based on the Karush–Kuhn–Tucker (KKT) conditions, the bi-level CRA model is reduced to a one-level mathematical program subject to complementarity constraints (MPCC). A recurrent neural network is developed for solving this one-level mathematica...

In some countries, regional authorities may attempt to rebalance the allocation of national facilities in benefit their own region which, turn, cause disturbances central government’s decision-making proces. Regarding hierarchical nature these types decisions, classical optimization models are not effective and use multi-level programming can increase efficiency planning. Our paper aims address...