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A fuzzy model for shortage planning under uncertainty due to lack of homogeneity in planned production lots

机译：由于计划生产批次缺乏同质性而导致不确定性下的短缺计划模糊模型

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摘要

Lack of homogeneity in the product (LHP) affects several sectors like horticulture, reverse logistics, furniture, ceramics and leathers, among others. Productive processes with LHP are characterized by manufacturing units of the same finished good (FG) with certain attributes that differ and are relevant to customers. This aspect leads to the existence of different subtypes of the same FG in each production lot, which provides homogeneous sublots. Due to inherent LHP uncertainty, the size of each homogeneous sublot is not known until produced. LHP becomes a problem when customers order several units of the same FG and require homogeneity among them; i.e., being served with the same subtype. Like inherent LHP uncertainty, discrepancies between planned homogeneous quantities and the real ones is quite usual. This means it is impossible to serve committed orders with the previously defined requirements of quantity, homogeneity and due date, which brings about a shortage situation. In this paper, a fuzzy mixed integer linear programming model is proposed to support shortage planning in environments with LHP (LHP-FSP model). The LHP-FSP model aims to maximize the profits of served orders by reallocating the quantities of subtypes in stock and the uncertainty future ones in the master plan among the already committed orders. One of the main contributions of the paper is to model the fuzzy interdependent coefficients that represent the fraction of each homogeneous sublot Finally, experiments based on realistic data from a ceramic company have been designed to validate the model and to analyze its behavior in different scenarios.
机译：产品（LHP）缺乏同质性会影响园艺，逆向物流，家具，陶瓷和皮革等多个领域。 LHP的生产过程的特征在于，具有相同成品（FG）的制造单元具有某些不同的属性，并且与客户相关。这方面导致每个生产批次中存在相同FG的不同子类型，从而提供了同质子批次。由于固有的LHP不确定性，每个均质子批次的大小在生产之前是未知的。当客户订购同一FG的多个单元并要求它们之间具有同质性时，LHP成为问题。即以相同的子类型投放。像LHP固有的不确定性一样，计划的同质数量与实际数量之间的差异非常普遍。这意味着不可能以先前定义的数量，均质性和到期日要求来服务已提交的订单，这会导致短缺情况。本文提出了一种模糊混合整数线性规划模型来支持具有LHP的环境中的短缺规划（LHP-FSP模型）。 LHP-FSP模型旨在通过在已提交的订单中重新分配库存子类型的数量以及总体计划中不确定的未来订单类型，来最大化服务订单的利润。本文的主要贡献之一是对代表每个同质子批次的分数的模糊相互依存系数进行建模。最后，设计了基于陶瓷公司的真实数据进行的实验，以验证模型并分析其在不同情况下的行为。

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  • 来源
    《Applied Mathematical Modelling》 |2015年第15期|4463-4481|共19页
  • 作者

    M.M.E. Alemany; Hanzel Grillo; A. Ortiz; Vicente S. Fuertes-Miquel;

  • 作者单位

    Research Centre on Production Management and Engineering (CIGIP), Universitat Politecnica de Valencia, Camino de Vera S/N, 46022 Valencia, Spain;

    Research Centre on Production Management and Engineering (CIGIP), Universitat Politecnica de Valencia, Camino de Vera S/N, 46022 Valencia, Spain;

    Research Centre on Production Management and Engineering (CIGIP), Universitat Politecnica de Valencia, Camino de Vera S/N, 46022 Valencia, Spain;

    Departamento de Ingenieria Hidraulica y Medio Ambiente, Universitat Politecnica de Valencia, Camino de Vera S/N, 46022 Valencia, Spain;

  • 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

    Fuzzy; Mathematical programming model; Shortage planning; Order promising; Lack of homogeneity in the product; Uncertainty;

    机译：模糊;数学编程模型;短缺计划;订单有前途;产品缺乏同质性;不确定;

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