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首页> 外文期刊>Applied Mathematical Modelling >A stochastic discounted multi-objective solid transportation problem for breakable items using Analytical Hierarchy Process
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A stochastic discounted multi-objective solid transportation problem for breakable items using Analytical Hierarchy Process

机译：易碎物品的随机折扣多目标固体运输问题的层次分析法

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摘要

In this paper, a multi-objective solid transportation problem (MOSTP) for a breakable item is considered with two different criteria: cost and time for transportation. Here breaking for the item depends on two modes- (ⅰ) type of conveyance and (ⅱ) transported amount. The item breaks at constant rate for the modes of conveyance and randomly for the transported amount. The requirement of the destination is crisp, but due to presence of breakability, the fulfillment of demand at destination is stochastic, which is solved by the chance-constraint method. In this paper, a nested discount (IQD within AUD) is presented on the transportation cost. The considered model is formulated to minimize the total transportation cost and time to transport all units of the item with respect to the transported amounts of the item from origins to destinations. Thus the problem reduces to a multi-objective problem. A set of pareto optimal solutions are obtained by multi-objective genetic algorithm (MOGA). The best solution out of this set is presented using Analytical Hierarchy Process (AHP). The MOSTP has also been formulated with entropy function defined by Shannons measure of entropy. The entropy function is used as an additional objective function which acts as a measure of dispersion. To illustrate the model, numerical example has been presented. The effect of entropy on transported amount is illustrated. A sensitivity analysis on the total cost due to the changes in break-ability rate is presented.
机译：在本文中，针对易碎物品的多目标固体运输问题（MOSTP）考虑了两个不同的标准：运输成本和运输时间。在这里，物料的破碎取决于两种模式-（ⅰ）运输类型和（ⅱ）运输量。物品在运输方式下以恒定速率破碎，在运输量方面以随机速率破碎。目的地的需求很明确，但是由于存在易碎性，目的地的需求满足是随机的，这可以通过机会约束方法解决。在本文中，对运输成本提出了嵌套折扣（IQD在AUD内）。考虑模型的制定是为了使总运输成本和从物品到目的地的运输量相对于物品的所有运输单位的运输时间最小化。因此，该问题简化为多目标问题。利用多目标遗传算法（MOGA）获得了一组最优解。使用分析层次过程（AHP）可以提供这套解决方案中最好的解决方案。 MOSTP还具有由Shannons熵测度定义的熵函数。熵函数用作附加目标函数，可作为色散的度量。为了说明该模型，给出了数值示例。说明了熵对运输量的影响。提出了对由于破损率变化而导致的总成本的敏感性分析。

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  • 来源
    《Applied Mathematical Modelling》 |2010年第8期|p.2256-2271|共16页
  • 作者

    A. Ojha; B. Das; S. Mondal; M. Maiti;

  • 作者单位

    Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Midnapore 721102, India;

    rnDepartment of Mathematics, Jhargram Raj College, Midnapore 721507, India;

    rnDepartment of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Midnapore 721102, India;

    rnDepartment of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Midnapore 721102, India;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    transportation models; breakables items; genetic algorithm; analytical hierarchy process; entropy;

    机译：运输模式;易碎物品;遗传算法分析层次过程;熵;

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