In this work we present an Outer-Approximation algorithm to obtain the global optimum of a nonconvex Mixed Integer Nonlinear Programming (MINLP) model for the scheduling of crude oil movement at the front-end of a petroleum refinery. The model relies on a continuous time representation making use of transfer events. The proposed technique focuses on effectively solving a Mixed Integer Linear Pr...

We present a new production planning problem which integrates order acceptance decisions with due date flexibility while taking into consideration realistic production capacity constraints. The problem consists of choosing among a set of customer orders which ones to accept based on the profit of the orders and the available resource capacity. Realistic capacities are considered by linking the ...

The design and operating of energy systems are key issues for matching the energy supply and consumption. Several optimization methods based on the Mixed Integer Linear Programming (MILP) have been developed for this purpose. However, due to the uncertainty, analyzing only one optimum solution with mono objective function is not sufficient for sizing the energy system. In this study, first a mu...

Characterizations of the sets with mixed integer programming (MIP) formulations using only rational linear inequalities (rational MILP representable) and those with formulations that use arbitrary closed convex constraints (MICP representable) were given by Jeroslow and Lowe (1984), and Lubin, Zadik and Vielma (2017). The latter also showed that even MICP representable subsets of the natural nu...

We discuss the problem of combining the conflicting objectives of equity and utilitarianism, for social policy making, in a single mathematical programming model. The definition of equity we use is the Rawlsian one of maximising the minimum utility over individuals or classes of individuals. However, when the disparity of utility becomes too great, the objective becomes progressively utilitaria...

Due to the increased utilization of gas-fired combined-cycle units for power generation in the U.S., accurate and computationally efficient models are more and more needed. The recently proposed edge-based formulation for combinedcycle units helps accurately describe the operations of combinedcycle units including capturing the transition processes and physical constraints for each turbine. In ...

Elastic optical network (EON) is fast becoming a key solution for designing with better usage of spectrum resources or other objectives interest to tenant and/or operators. A primary concern EONs protect the against failures its elements, because this kind event can provoke loss substantial amount traffic. In paper, we propose new mixed integer linear programming (MILP) formulation protecting t...