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基于时间窗约束下的运输成本模型研究
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摘要
在实际运输过程中,一些客户会根据自己的需求情况预先规定货物的送达时间,即时间窗约束。本文所研究的时间窗主要是软时间窗,即当货物的送达时间早于客户规定的最早运输时间时,承运方需要支付相应的库存费用;当货物的送达时间迟于客户规定的最迟运输时间,则承运方将根据合同规定支付相应的惩罚费用。本文在以往研究的基础上,提出一个带有时间约束的双目标运输成本模型。该模型在考虑时间窗约束条件下包含两个目标:一个是达到运输车辆数最低,另一个是追求运输成本最低。本文将通过一个改进的遗传算法和对该问题进行求解。最后,本文通过一个案例验证了该模型的准确性和可行性。
In the real practice of transportation,some customers will predefine the arrival time which is called time-window constraints.In this paper,the soft time-window constraints that specify the earliest and latest arrival times of customers are focused.If a customer is serviced before the earliest specified arrival time,extra inventory costs are incurred.If the customer is serviced after the latest arrival time,penalty costs must be paid.In this paper a bi-objective transportation cost model with time-window constraints is proposed.Both the total transportation cost and the required fleet size are minimized in this model,which also accounts for the given capacity limitations of each vehicle.This bi-objective optimization is solved by using a modified genetic algorithm approach.Finally,feasibility and validity of the model are illuminated through a case study.
引文
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