研究论文

基于模糊约束满意度的烟草配送模糊线性规划

  • 郭宏斌;陈建宏;杨珊;刘浪
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  • 1. 中南大学资源与安全工程学院,长沙 410083;2. 常德烟草机械有限责任公司,湖南常德 415000

收稿日期: 2011-03-03

  修回日期: 2011-05-30

  网络出版日期: 2011-07-08

Fuzzy Linear Programming for Tobacco Distribution Based on the Concept of Constraint Satisfactory Degree

  • GUO Hongbin;CHEN Jianhong;YANG Shan;LIU Lang
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  • 1. School of Resources and Safety Engineering, Central South University, Changsha 410083, China;2. Changde Tobacco Machinery Co., LTD., Changde 415000, Hunan Province, China

Received date: 2011-03-03

  Revised date: 2011-05-30

  Online published: 2011-07-08

摘要

为降低烟草配送成本,采用一级配二级送模式进行烟草配送。对传统的烟草配送问题进行了改进,应用最大覆盖模型对中转站进行选址,然后提出了含有梯形模糊数的烟草配送优化模型。结合供应点的供应能力和需求点的需求量为模糊参数的约束条件,提出了一种基于模糊约束满意度的求解方法。针对该模糊运输规划模型,利用期望区间均值将不确定模型转化为区间线性规划模型,然后分别对目标函数和约束条件进行处理,将区间线性规划模型转化为确定性的线性规划模型进行求解。这样决策者就可以根据客观情况和主观判断,得到不同的决策方案,使得决策更具有柔性,更加符合实际决策过程。应用该方法,郴州某烟草公司的运输成本大幅下降,比一级配一级送模式节约成本5.37%,验证了该模型的可行性和有效性。

本文引用格式

郭宏斌;陈建宏;杨珊;刘浪 . 基于模糊约束满意度的烟草配送模糊线性规划[J]. 科技导报, 2011 , 29(19) : 52 -57 . DOI: 10.3981/j.issn.1000-7857.2011.19.007

Abstract

A distribution model with two tobacco transfer stations is used to improve the tobacco distribution with the conventional cigarette transportation, and the maximal covering model is used to locate the transfer stations, then the transportation optimal model with a trapezoidal fuzzy parameter is proposed. Combined with the constraints of the suppliers' supply capacity and capability needs of demand points as fuzzy parameters, a new method of linear programming based on the concept of constraint satisfactory degree is proposed. In order to solve the problem of the transport planning model with fuzzy parameters, the interval-valued mean is used to transform the uncertain model into an interval number linear programming model, which is finally transformed into a deterministic linear programming model. With this method, the decision maker can obtain a corresponding satisfactory solution according to different conditions, so the decision process becomes more flexible and more adaptable to real situations. By adopting this method, the transportation costs of tobacco companies in this city are greatly reduced, saving 5.37% of the direct distribution model cost.
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