Due to occurrence of unexpected disruptions,a resilient supply chain design is important. In this paper, a bi-objective model is proposed for designing a resilient supply chain including suppliers, distribution centers (DCs), and retailers under disruption risks.The first objective function minimizes total costs. The second objective function maximizes satisfied demands. We use the augmented e-...

Geometric programming is efficient tool for solving a variety of nonlinear optimizationproblems. Geometric programming is generalized for solving engineering design. However,Now Geometric programming is powerful tool for optimization problems where decisionvariables have exponential form.The geometric programming method has been applied with known parameters. However,the observed values of the ...

In this study, a fuzzy bi-level chance constraint programming (FBCP) model is developed for urban ecological management in Xiamen, China. FBCP has advantages balancing trade-offs between multiple decision makers and can address stochastic uncertainty ecosystem management. It also reflect the impact of different violation risk levels emission reduction measures on system benefit, service value, ...

For power retailers in a smart grid, it is necessary to design an economic dispatch method maintain balance between supply and demand on the sale side as well obtain better benefits. This study concentrates of dominant retailer regional market. The considered be equipped with generator resources such distributed photovoltaics (PV), wind turbines (WT), microturbines (MT). As one cannot exactly p...

The optimization of offshore wind farms is mainly performed through the deployment and submarine cables to maximize power output minimize cable costs. However, above results are affected by wake effect, equipment layout, cost cables. To effectively complete turbines lines, first, a bi-level constrained model based on maximum profit shortest route proposed in this paper; then, differential evolu...

In this paper, we considered a Stochastic Interval-Valued Linear Fractional Programming problem(SIVLFP). In this problem, the coefficients and scalars in the objective function are fractional-interval, and technological coefficients and the quantities on the right side of the constraints were random variables with the specific distribution. Here we changed a Stochastic Interval-Valued Fractiona...

The planning of urban bus-only lane networks is an important measure to improve bus service and bus priority. To determine the effective arrangement of bus-only lanes, a bi-level programming model for urban bus lane layout is developed in this study that considers accessibility and budget constraints. The goal of the upper-level model is to minimize the total travel time, and the lower-level mo...