Abstract: Bi-level programming, a tool for modeling decentralized decisions, consists of the objective(s) of the leader at its first level and that is of the follower at the second level. Three level programming results when second level is itself a bi-level programming. By extending this idea it is possible to define multi-level programs with any number of levels. Supply chain planning problem...

We propose a mixed integer programming (MIP) model and iterative algorithms based on topological orders to solve optimization problems with acyclic constraints on a directed graph. The proposed MIP model has a significantly lower number of constraints compared to popular MIP models based on cycle elimination constraints and triangular inequalities. The proposed iterative algorithms use gradient...

The use of computational models in metabolic engineering has been increasing as more genome-scale metabolic models and computational approaches become available. Various computational approaches have been developed to predict how genetic perturbations affect metabolic behavior at a systems level, and have been successfully used to engineer microbial strains with improved primary or secondary me...

The fixed-charge Capacitated Multi-commodity Network Design (CMND) is a well-known problem of both practical and theoretical significance. Network design models represent a wide variety of planning and operation management issues in transportation telecommunication, logistics, production and distribution. In this paper, Ant Colony Optimization (ACO) based neighborhoods are proposed for CMND pro...

We introduce a mixed integer program (MIP) for assigning importance scores to each neuron in deep neural network architectures which is guided by the impact of their simultaneous pruning on main learning task network. By carefully devising objective function MIP, we drive solver minimize number critical neurons (i.e., with high score) that need be kept maintaining overall accuracy trained Furth...

Uncertainty is a practical issue in system design optimization because some characteristics of components, such as reliability and cost, cannot be determined precisely many situations. Considering the imprecise few works have focused on multi-objective for redundancy allocation due to challenges comparing multi intervals. To tackle issue, novel angle-based bi- objective algorithm proposed this ...

This paper presents a multi-periodic, multi-echelon blood supply chain network consisting of blood donors, mobile collection units, local blood centers, main blood centers and demand points in which the local and main blood centers are subject to random failure in dispatching blood products to demand points. The problem has two objectives including minimization of the total chain costs and maxi...