论文标题

在模糊环境下,具有车辆成本,体积和重量能力的多项目多项目固体运输问题

A multi-objective multi-item solid transportation problem with vehicle cost, volume and weight capacity under fuzzy environment

论文作者

Kar, Mouhya B., Kundu, Pradip, Kar, Samarjit, Pal, Tandra

论文摘要

通常,在运输问题中,应预订全车辆(例如轻型商用车,中型和重型卡车等),并且必须支付车辆的运输成本,而与车辆能力履行无关。除运输成本外,包括车辆旅行时间,产品的装载和卸货时间在内的总时间也是一个重要问题。同样,不同类型的项目可能需要通过不同类型的运输方式将不同类型的项目从某些来源传输到目的地。最佳运输政策可能会受到许多其他问题的影响,例如每单位产品的数量和重量,无法获得足够数量的某些类型的车辆等。在本文中,我们通过解决所有这些问题来提出多目标多项目固体运输问题。该问题以运输成本和时间参数作为模糊变量来提出。使用模糊变量的信誉理论,制定了机会构成编程模型,然后将其转换为相应的确定性形式。最后提供了数值示例来说明问题。

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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