模糊环境下具有车辆费用、体积和重量能力的多目标多物品立体运输问题
A multi-objective multi-item solid transportation problem with vehicle cost, volume and weight capacity under fuzzy environment
摘要：
通常，在运输问题中，满载车辆（例如，轻型商用车、中型和重型卡车等）车辆的运输费用必须支付，而不论车辆的运载能力如何。除了运输成本，包括车辆行驶时间、产品装卸时间在内的总时间也是一个重要问题。此外，代替单个物品，不同类型的物品可能需要通过不同类型的运输从一些来源运输到目的地。最优运输策略可能会受到许多其他问题的影响，如体积和重量的每单位产品，不提供足够数量的某些类型的车辆等，在本文中，我们制定了一个多目标多项目固体运输问题解决所有这些问题。将运输成本和时间参数作为模糊变量进行求解。利用模糊变量的可信度理论，建立了一个机会约束规划模型，并将其转化为确定性形式。最后给出了数值算例。
英文摘要：
Generally, in transportation problem, full vehicles (e.g., light commercial vehicles, medium duty and heavy duty trucks, etc.) are to be booked, and transportation cost of a vehicle has to be paid irrespective of the fulfilment of the capacity of the vehicle. Besides the transportation cost, total time that includes travel time of a vehicle, loading and unloading times of products is also an important issue. Also, instead of a single item, different types of items may need to be transported from some sources to destinations through different types of conveyances. The optimal transportation policy may be affected by many other issues like volume and weight of per unit of product, unavailability of sufficient number of certain types of vehicles, etc. In this paper, we formulate a multi-objective multi-item solid transportation problem by addressing all these issues. The problem is formulated with the transportation cost and time parameters as fuzzy variables. Using credibility theory of fuzzy variables, a chance-constraint programming model is formulated, and is then transformed into the corresponding deterministic form. Finally numerical example is provided to illustrate the problem.
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