Appropriate scheduling and sequencing of tasks on machines is one of the basic and significant problems that a shop or a factory manager encounters; this is why in recent decades extensive studies have been done on scheduling issues. One type of scheduling problems is just-in-time (JIT) scheduling and in this area, motivated by JIT manufacturing, this study investigates a mathematical model for...

Mathematical optimization is at the core of many problems in systems biology: (1) as the underlying hypothesis for model development, (2) in model identification, or (3) in the computation of optimal stimulation procedures to synthetically achieve a desired biological behavior. These problems are usually formulated as nonlinear programing problems (NLPs) with dynamic and algebraic constraints. ...

We de®ne the base polytope B…P ; g† of a partially ordered set P and a supermodular function g on the ideals of P as the convex hull of the incidence vectors of all linear extensions of P . This new class of polytopes contains, among others, the base polytopes of supermodular systems and permutahedra as special cases. After introducing the notion of compatibility for g, we give a complete linea...

This paper describes the PSAT-GAMS interface to solve a variety of optimization models. The Power System Analysis Toolbox (PSAT) is an open source Matlab-based software package for analysis and design of small to medium size electric power systems. While the General Algebraic Modeling System (GAMS) is a high-level modeling system for mathematical programing problems. It consists of a language c...

Using a model-based optimization, a neural network model is used to compute the optimal values of gas injection rate and oil rate of a gas lift production system. Two cases are analyzed: a) A single well production system and b) A production system composed by two gas lifted wells. For both cases minimizing the objective function of the proposed strategy shows the ability of the neural networks...