in the recent decade, special attention is paid to reverse logistic due to economic benefits of recovery and recycling of used products as well as environmental legislation and social concerns. on the other hand، many researches claim that separately and sequential planning of forward and reverse logistic causes sub-optimality. effective transport activities are also one of the most important c...

an integrated model considers all parameters and elements of different deficiencies in one problem. this paper presents a new integrated model of a supply chain that simultaneously considers facility location, vehicle routing and inventory control problems as well as their interactions in one problem, called location-routing-inventory (lri) problem. this model also considers stochastic demands ...

the harmonic in distribution systems becomes an important problem due to an increase in nonlinear loads. this paper presents a new approach based on a graph algorithm for optimum placement of passive harmonic filters in a multi-bus system, which suffers from harmonic current sources. the objective of this paper is to minimize the network loss, the cost of the filter and the total harmonic disto...

With the increasing penetration of photovoltaics in distribution networks, adaptability network under uncertainties needs to be considered planning systems. In this paper, interval arithmetic and affine are applied deal with uncertainties, an based bi-level multi-objective joint model is built, which can obtain schemes low constraint-violation risk, high reliability strong adaptability. On basi...

In this research, a bi-objective model is developed to deal with a supply chain including multiple suppliers, multiple manufacturers, and multiple customers, addressing a multi-site, multi-period, multi-product aggregate production planning (APP) problem. This bi-objective model aims to minimize the total cost of supply chain including inventory costs, manufacturing costs, work force costs, hir...

The objective of this paper is to bring systematic methods for scenario tree generation to the attention of the Process Systems Engineering community. In this paper, we focus on a general, data-driven optimization-based method for generating scenario trees, which does not require strict assumptions on the probability distributions of the uncertain parameters. This method is based on the Moment ...

Многокритериальное нелинейное программирование относится к разделу математического программирования, который включает оптимизацию нескольких целевых функций одновременно. На самом деле многие практические проблемы требуют оптимизации сразу несколько функций. Однако, как правило, лица, принимающие решения, фокусируют свое внимание на цели, которую они считают наиболее оптимальной. В этой статье ...