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首页> 外文期刊>Journal of Uncertainty Analysis and Applications >A solid transportation problem with safety factor under different uncertainty environments
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A solid transportation problem with safety factor under different uncertainty environments

机译：不同不确定环境下具有安全系数的固体运输问题

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摘要

In this paper, we introduce a new concept ‘safety factor’ in a transportation problem. When items are transported from plants to destinations through different conveyances, there are some difficulties/risks to transport the items due to bad road, insurgency, land slide, etc. in some routes. Due to these, a desired total safety factor is being introduced, and depending upon the nature of the safety factor, we develop five models. In this paper, a solid transportation problem (STP) with imprecise unit costs is considered. The sources' availabilities, destinations' demands, and capacities of conveyances are also represented by fuzzy numbers like trapezoidal and triangular numbers. The transportation problem has been formulated with and without a safety factor. To reduce the different models into its crisp equivalent, we introduce different methods as chance-constraint programming, an approach using interval approximation of fuzzy numbers and the application of the expected value model. Generalized reduced gradient technique is used to find the optimal solutions for a set of given numerical data. To illustrate the model, a numerical example has been presented and solved using LINGO.12 software. The effect of safety factors on transported amount is illustrated.
机译：在本文中，我们介绍了运输问题中的新概念“安全系数”。当物品通过不同的运输工具从工厂运输到目的地时，由于某些路线中的道路，叛乱，滑坡等原因，运输物品存在一些困难/风险。因此，正在引入所需的总安全系数，并且根据安全系数的性质，我们开发了五个模型。在本文中，考虑了单位成本不精确的固体运输问题（STP）。货源的可用性，目的地的需求和运输能力还由梯形和三角形等模糊数字表示。制定了有无安全因素的运输问题。为了将不同的模型简化为等效模型，我们引入了不同的方法，例如机会约束规划，使用模糊数的区间逼近的方法以及期望值模型的应用。广义降梯度技术用于找到一组给定数值数据的最优解。为了说明该模型，给出了一个数值示例，并使用LINGO.12软件进行了求解。说明了安全因素对运输量的影响。

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