摘要
针对复杂多变环境带来的第四方物流(4PL)运输时间和成本的随机性,研究带有随机运输时间和成本的4PL路径优化问题.在总运输成本约束下,以总运输时间最小为目标,建立期望值模型(EVM)以及机会约束规划模型(CCPM).进而,为提高模型求解效率以及鲁棒性,将CCPM转化为等价确定性模型(EDM).根据4PL选择路径过程中需要同时选择第三方物流供应商的特点,设计蚁群算法和带有替换策略的改进蚁群算法对模型进行求解.算例分析验证改进算法的有效性,并表明EDM在保证解的鲁棒性的同时保证了较高的求解效率.
To address the randomness of the transportation time and cost of fourth party logistics(4 PL)under complex and changing environments, the routing optimization for 4 PL with stochastic transportation time and cost is studied. Under the constraint of total transportation cost, an expected value model(EVM) and a chance constrained programming model(CCPM) are established to minimize the total transportation time. Then, to improve the effectiveness and robustness of the proposed models, the CCPM is transformed into an equivalent deterministic model(EDM). According to the characteristic that 4 PL chooses routes and third party logistics providers simultaneously, an ant colony algorithm and an improved ant colony algorithm with replacement strategy are designed to solve the models. Numerical analysis verifies the effectiveness of the improved algorithm, and shows that the EDM can guarantee the robustness of solutions as well as the solution efficiency.
引文
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1Tijk和Cijk分别表示3PL供应商的基本时间和成本,不失一般性,假设扰动tijk和cijk的均值为0.
2其中xijk(R)为0-1变量.