臺灣博碩士論文加值系統

由日常勞動生活所帶來的疲勞是許多人都共同擁有的一個經驗，因此疲勞的問題很容易會被忽視掉，在職業安全上就會是一個嚴重的潛在威脅，特別是由24小時輪班擾亂的睡眠週期引發的嗜睡、疲勞、效能降低、健康等都會造成安全上的問題，雖然由疲勞所導致的人為疏失並不是造成意外的主要原因，但卻也成為一門不能忽視的課題。
本篇的研究提供一個能夠近似人類疲勞升降的數學模型，並利用混合整數規劃法求解最佳化的方式，產生一個可以平均分攤疲勞程度，並盡量滿足每位員工的休假喜好的輪班班表以達到降低最大疲勞值的目標。本篇研究首先是建立數學模型量化以及表示員工的疲勞程度與變化曲線，再利用整數規劃當中0-1變數的概念建立限制條件，目標函數為盡可能的降低最大疲勞值以及滿足每位員工所喜好的休假日。最後利用航管人員、停機線航機維修人員及校園工讀生的班表作例子，並比較排班前後的疲勞程度差異。

Feeling fatigued, a common experience for most working people, might be easily neglected and could be a critical potential threat in occupational safety. Especially shiftwork disrupts the sleep-wake cycle, leading to sleepiness, fatigue, and performance impairment, with implications for occupational health and safety.
We provide a mathematical fatigue model to approximate the human body’s fatigue level, and we use mixed-integer programming which the shift assignments are described by binary integer to deal with employees’ shift and represent all of the constraints. We also consider every employee’s holiday preference as an objective to meet the preferences of each employee. On the other hand, an optimal solution has been applied to make the peak of fatigue level as low as possible and as far as possible to meet the preferences of each employee. We take a sample with aircraft maintenance crews, air traffic controller, and work-study students schedule to demonstrate the proposed methods.

摘要 I
ABSTRACT II
致謝 III
CONTENTS IV
LIST OF FIGURE VI
LIST OF TABLE VII
NOMENCLATURE VIII
CHAPTER I INTRODUCTION 1
1.1 Background 1
1.2 Research objective 2
1.3 Literature review 3
1.4 Method of research 6
1.5 Procedure 7
CHAPTER II BACKGROUND KNOWLEDGE 9
2.1 Mathematic background 9
2.2 Fatigue models in current use 16
CHAPTER III SHIFT SCHEDULING PROBLEM 21
3.1 Mathematical fatigue model 21
3.2 Revised mathematical fatigue model 24
3.3 Shift scheduling problem definition 27
3.4 System definition 29
3.5 Optimal shift problem 30
3.6 Geometric constraints and conditional weighting 31
3.7 Shift property constraints 34
3.8 Holiday preference constraints and automatic scheduling 38
CHAPTER IV SHIFT SCHEDULING SIMULATION 42
4.1 Aircraft maintenance crew shift scheduling simulation 42
4.2 Air traffic controller shift scheduling simulation 47
4.3 Work-study students shift scheduling simulation 53
4.4 Calculating time 59
CHAPTER V CONCLUSIONS 60
5.1 Conclusions 60
5.2 Future research 60
REFERENCES 61

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