
ترجمه مقاله نقش ضروری ارتباطات 6G با چشم انداز صنعت 4.0
- مبلغ: ۸۶,۰۰۰ تومان

ترجمه مقاله پایداری توسعه شهری، تعدیل ساختار صنعتی و کارایی کاربری زمین
- مبلغ: ۹۱,۰۰۰ تومان
2. Mathematical Formulation
In this section, we mainly present a pattern-chain formulation for the RMCPR, which is an integer column generation formulation. With this formulation, we will present an exact approach in Section 3. We first introduce a node-arc formulation for the RMCPR in the next subsection. Although it is not the main contribution in this paper, the node-arc formulation is used as a comparison benchmark to evaluate our exact approach proposed in Section 3. That is, the node-arc formulation is solved by MIP solver CPLEX to obtain upper bound of each instance in the computational experiments.