有限空間下之自動化雙邊生產線平衡

 

Automatic Two-Sided Assembly Line Balancing for Constrained Space Consideration

 

藍俊雄

南華大學企業管理系教授

嘉義縣大林鎮中坑里南華路一段55

chlan@mail.nhu.edu.tw

 

陳輝恭

南華大學企業管理系管理科學碩士生

嘉義縣大林鎮中坑里南華路一段55

g7157016@mail1.nhu.edu.tw

 

李舒怡

南華大學企業管理系管理科學碩士生

嘉義縣大林鎮中坑里南華路一段55

g7157018@mail1.nhu.edu.tw

 

摘要

生產設計的良莠與否,對製造業的生產成本與獲利能力,存有顯著的影響。而就生產製造來說,良好的生產率是維持競爭力的重要關鍵。長久以來,生產線平衡的研究主要在討論單邊生產線的平衡問題;近年來,由於產品多樣化造成零工生產的主流時代來臨,而在廠房空間侷限下,對於多產品生產線的籌設,實有困難存在。因此,對擁有較小佈置空間的雙邊生產線需求也日益增加。有鑑於此,在有限空間下進行雙邊生產線的適生產速率的佈置,就成為實務上之重要問題,因此本研究主要探討雙邊生產線平衡之型二問題,以求取適的周程時間。本研究主要建構一個整數非線性規劃(integer nonlinear programming, INLP)數學模型來描述雙邊生產線平衡之型二問題情形,應用套裝軟體Lingo 9.0的語法將上述模式具體化,且藉由軟體內建的Global Solver作全域搜尋、運算,取得最佳解。同時本研究亦嘗試將各工作站中可同步作業的單元進行同步化的考量,以使製造者不致低估其生產率及高估空間使用率,以錯失獲利。

 

關鍵詞:雙邊生產線平衡、型二問題、周程時間、LINGO 9.0

 

Abstract

The production design will affect the production costs and its profitability of manufacturing enterprise. A good production rate plays the important role in keeping the competitiveness for manufacturing industry. The major discussion of assembly line balancing problem is to investigate the one-sided assembly line balancing problem. The Job-Shop production becomes main streams for manufacturing industry because of the diversities of products. The diversities of products also lead the spatial problem for the deployment of multi-product production lines. Thus, the necessity of two-sided assembly line deployment is arising. Whenever the space is constrained for practical situations, the determination of optimal production rate becomes the serious problem under the fixed deploying area. Therefore, this study tries to investigate the type II problem of two-sided assembly line balancing to find out the optimal cycle time. This study mainly constructs an Integer Nonlinear Programming (INLP) mathematical model to describe the situation of two-sided assembly line, and apply syntax Lingo 9.0 extended version to specifies the above model by the software built-in solving method “Global Solver” for global search, operations and obtain optimal solution. In addition, this study tries to consider the synchronous of the production elements in the same workstation to avoid the underestimation of production rate and the overestimation of occupied rate of space.

 

Keywords: Two-sided Assembly Line Balancing, Type II Problem, Cycle Time, LINGO 9.0