An extended batch-oblivious approach for flexible Job shop with batching and material consumption when minimizing the total weighted material consumed and makespan

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姓名

郭逸涵(Yi-Han Kuo) 查詢紙本館藏

畢業系所

工業管理研究所

論文名稱

(An extended batch-oblivious approach for flexible Job shop with batching and material consumption when minimizing the total weighted material consumed and makespan)

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至系統瀏覽論文 (2027-7-31以後開放)

摘要(中)

我們在彈性零工式排程問題(flexible job shop scheduling problem)下考慮材料分配(material assignment)與批次處理(batching)的問題。決定哪些組合的化學材料要裝載在哪個機器上就是材料分配。而彈性零工式排程問題裡特有的機台可行性(Machine eligibility)在我們的環境中不是預先決定好、不變的，會隨著材料分配而變化。我們使用一種extended batch oblivious conjunctive graph來同時在分離圖(conjunctive graph)上同時呈現材料分配與批次處理。並且多加了第二個弧屬性(arc attribute)來表示消耗的加權材料總和(sum of total weighted material consumed)、第三個弧屬性表示材料分配。通過這樣的處理，我們除了可以得到常見的以時間為基礎的關鍵路徑(critical path)外，還可以有另一種基於消耗的加權材料總和的關鍵路徑。並基於這兩種關鍵路徑來定義鄰域結構(neighborhood structure)，以及引入重疊值(overlapping value)來幫助我們的搜索過程。我們還透過對移動(move)的估計函數(estimation function)將所以候選的移動(candidate moves)分類。還提出可以在兩條關鍵路徑與兩個目標中切換的搜索策略(search strategy)。實驗結果表明，我們可以通過搜索策略有效的使用兩種關鍵路徑，並配合有效的移動分類(move classification)來解決這種考慮材料分配的彈性零工式排程問題。

摘要(英)

The studied problem considers material assignment and operation assignment simultaneously in a flexible job shop scheduling problem. The determination of a subset of materials loaded on a machine is the material assignment. Machine eligibility will change depending on the material
assignment, different from conventional constant machine eligibility. An extended batch oblivious conjunctive graph is used to simultaneously represent the decision on the operation sequencing,batching and the decision on the material assignment. On each arc of the conjunctive graph, we attach the second arc attribute to represent the sum of weighted material consumed and the third arc attribute to represent material assignment. By using the conjunctive graph proposed, besides the critical path we commonly see on the literature which is time-based, we can have another type of critical path which is based on the sum of weighted material consumed. We propose an integrated move for our bi-objective problem, based on the two types of critical path to define the neighborhood structure. An overlapping value is introduced for sorting out the sequence of operations which will steer our improvement procedure. A move classification based on estimation function under two
objectives is proposed to help select moves from candidates. A strategy alternately switching between objectives is proposed to provide a better diversification in the local search and give a better chance to find a good solution. The experimental results show that we can effectively use two types of critical paths by search strategy, and cooperate with effective move classification to solve this flexible job shop problem with material assignment.

關鍵字(中)

★ 彈性零工式排程問題
★ 材料分配
★ 區域搜尋法

關鍵字(英)

★ flexible job shop
★ material assignment
★ local search

論文目次

摘要 2
Abstract 3
1. Introduction 1
1.1. Research motivation and background 1
1.2. Problem description 4
1.3. Research objectives 5
1.4. Research methodology 5
2. Literature review 7
2.1. Flexible job shop scheduling problem 7
2.2. Neighborhood structure 9
2.3. Search strategy 10
3. An extended batch oblivious approach 12
3.1. Conjunctive graph representation for operation and material consumption 12
3.2. Initial solution 16
3.3. Integrated move 18
3.4. Lower bound 23
3.5. Search strategy 31
4. Computational result 33
4.1. Advantage of using two types of critical path 33
4.2. Analysis of the number of move classification 34
4.3. Analysis of steepest descent and lower bound 35
5. Conclusion 37
References 38

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指導教授

沈國基(Gwo-Ji Sheen)

審核日期

2023-7-20

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