帶有附加間距的單行設備布局問題及其求解算法
發(fā)布時間:2018-07-09 23:32
本文選題:單行設備布局問題 + 禁忌搜索算法; 參考:《北京郵電大學》2015年碩士論文
【摘要】:設備布局問題在實際生產和理論研究中存在多年,并且產生了許多相關的變體和相應的解決方案。單行設備布局作為一種典型的設備布局形式,被廣泛研究。它旨在將固定數(shù)量的設備合理的安排在一行上,使得設備之間的物流成本最小。然而在實際生產中,不僅設備之間的物流成本是成本的重要組成部分,設備的占地面積也是非常昂貴的,占生產成本不可忽視的一部分。本文調研了國內外單行設備布局問題的實際情況,在結合生產需求的基礎上,提出一種帶有附加間距的單行設備布局問題。這種附加間距可以根據(jù)需求放在設備的兩側。基于求解目標的不同,將該研究問題分成兩部分: 1)以優(yōu)化物流成本為目標的帶有附加間距的單行設備布局問題的研究。對于該問題,本文采用禁忌搜索與數(shù)學規(guī)劃相結合的方法來求解。具體地說,就是用禁忌搜索尋找最優(yōu)設備序列,用數(shù)學規(guī)劃工具對設備附加間距方向進行優(yōu)化。為了評價設備序列,本文提出一種啟發(fā)式規(guī)則用來確定設備的附加間距方向。 2)以優(yōu)化物流成本以及設備占地面積為目標的帶有附加間距的單行設備布局問題。針對該研究問題,論文采用一種簡單的基于整數(shù)編碼的離散的差分進化算法來求解。 為了驗證提出的模型和相應求解方法的正確性和有效性,本文分別用小規(guī)模問題實例(10設備)、中等規(guī)模問題實例(20、30設備)以及大規(guī)模問題實例(50設備)進行驗證。實驗結果表明:模型可以正確描述需求,提出的方法可以有效的求解模型。
[Abstract]:The problem of equipment layout has existed in practical production and theoretical research for many years, and has produced many related variants and corresponding solutions. As a typical device layout, single-line device layout has been widely studied. It aims to arrange a fixed number of equipment in a row so as to minimize the logistics costs between the devices. However, in the actual production, not only the logistics cost between the equipment is an important part of the cost, but also the occupation area of the equipment is very expensive, which can not be ignored as a part of the production cost. This paper investigates the actual situation of the single line equipment layout problem at home and abroad, and puts forward a single line equipment layout problem with additional spacing on the basis of the production demand. This additional spacing can be placed on both sides of the device as required. The problem is divided into two parts based on the difference of solving objectives: 1) the study of single-row equipment layout with additional spacing aiming at optimizing logistics cost. In this paper, Tabu search and mathematical programming are used to solve the problem. Specifically, Tabu search is used to find the optimal equipment sequence, and mathematical programming tools are used to optimize the direction of the additional spacing of the equipment. In order to evaluate the equipment sequence, this paper presents a heuristic rule to determine the direction of the additional distance of the equipment. 2) A single row layout problem with additional spacing is proposed to optimize the logistics cost and the space occupied by the equipment. A simple discrete differential evolutionary algorithm based on integer coding is used to solve the problem. In order to verify the correctness and validity of the proposed model and the corresponding solution methods, this paper uses a small scale problem case (10 equipment), a medium scale problem case (20 ~ 30 equipment) and a large scale problem case (50 equipment) to verify the validity and validity of the proposed model. The experimental results show that the model can describe the requirements correctly, and the proposed method can solve the model effectively.
【學位授予單位】:北京郵電大學
【學位級別】:碩士
【學位授予年份】:2015
【分類號】:TP18
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