We introduce MathOptInterface, an abstract data structure for representing mathematical optimization problems based on combining predefined functions and sets. MathOptInterface is significantly more general than existing structures in the literature, encompassing, example, a spectrum of classes from integer programming with indicator constraints to bilinear semidefinite programming. also outlin...

An integrated scheduling system with demand forecasting has been developed. The SARIMA (seasonal autoregressive integrated moving average) model is automated to forecast the demand. In order to reduce the cost and instability of production scheduling, a safety inventory determination is also automated additionally. A scheduling system based on the mathematical model and the efficient optimizati...

distribution centers (dcs) play important role in maintaining the uninterrupted flow of goods and materials between the manufacturers and their customers.this paper proposes a mathematical model as the bi-objective capacitated multi-vehicle allocation of customers to distribution centers. an evolutionary algorithm named non-dominated sorting ant colony optimization (nsaco) is used as the optimi...

in the real world, risk and uncertainty are two natural properties in the implementation of mega projects. most projects fail to achieve the pre-determined objectives due to uncertainty. a linear integer programming optimization model was used in this work to solve a problem in order to choose the most appropriate risk responses for the project risks. a mathematical model, in which work structu...

vendor managed inventory is a continuous replenishment program that is designed to provide major cost saving benefits for both vendors and retailers. previous research on this area mainly included single objective optimization models where the objective is to minimize the total supply chain costs or to maximize the total supply chain benefits. this paper presents a bi-objective mathematical mod...

cellular manufacturing system is one of the most important applications of group technology. design of this system involves many structural and operational issues, in which the cell formation and production planning are two important steps. in this paper, a new mathematical model is proposed for integration of cell formation and production planning problems with the aim of minimizing the overal...