An application of shock models to the inventory Olaitan C. Adeoye; Supervisor: Ayşe Tansu Tunçbilek

Yazar: Katkıda bulunan(lar):Dil: İngilizce Yayın ayrıntıları:Nicosia Cyprus International University 2014Tanım: VII, 56 p. table 30.5 cm CDİçerik türü:
  • text
Ortam türü:
  • unmediated
Taşıyıcı türü:
  • volume
Konu(lar):
Eksik içerik
1 CHAPTER 1
1 INTRODUCTION
4 CHAPTER 2
4 LITERATURE REVIEW
4 INVENTORY THEORY
9 SUPPLY CHAIN VISIBILITY
10 DEMAND VISIBILTY IN INVENTORY CONTROL
11 CONCEPT OF INVENTORY CONTROL
11 SHOCK MODELS IN SYSTEM RELIABILITY
12 EXTREME AND CUMULATIVE SHOCKS
13 SHOCK MODEL AS A MAINTANANCE MODEL IN AUTOMOBILES
14 RESEARCH FOCUS
15 CHAPTER 3
15 POISSON PROCESSES
15 INTRODUCTION
17 ARRIVAL PROCESSES
17 HOMOGEOUS AND NON -HOMOGEOUS POISSON PROCESS
18 RENEWAL PROCESS
20 CHAPTER 4
20 METHODOLOGY
NOTATION USED
20 THE MODEL ASSUMPTION
21 THE STATISTICAL CHARACTERISTICS
25 SPECIFIC MODELS AND DISCUSSIONS
26 MODEL 1=EXPERIMANTIAL MODEL
27 MODEL 2=GAMMA MODEL
28 MODEL 3= UNIFROM DISTRIBUTION MODEL
30 CHAPTER 5
30 RESULTS AND ANALYSIS
30 MODEL 1- EXPONENTIAL MODEL
31 MODEL 2-GAMMA ORDER
32 MODEL 3- UNIFORM
34 SUMMARY FOR ALL MODELS
36 CHAPTER 6
36 CONCLUSION AND FUTURE WORK
39 APPENDIX
50 REFERENCES
54 CURRICULUM VITAE
Özet: 'Abstract The study of optimal replcement and repair strategies of deteriorating systemshas widely attracted attention of several researchers in the recent past owing to the fact that all real world systems are deteriorating in nature. To ensure the reliability of these systems, several models have been developed by many researchers among which shock models have attracted a lot of interest base on its wide area of application. While the earlier shock models concentrated solely on the magnitude of the damage caused by the shocks,(Yeh Lam and Zhang,2004) model paid attentyion to the frequency of the shocks. Recently (Rangan, A and Tansu,A 2008) got some results on a new class of shock model by analysing the statistical charateristies of δ- shock model, thereby establishing an optimal replacement and repair model for deteriorating systems. On the other hand the subject of inventory control is a major consideration in many situation and as such can be modeled in such a similar approach to deteriorating systems. Maintaing inventiories is necessary for any company dealing with physical products, including maunfacturers, wholesalers and retailers; hence inventories are found in every sector of any economy. Companies use operations research to improve their inventory policy for when and how much to replenish their inventory which could be done by formulating a mathematical model describing the behavior of the inventory system in order to know when and how much to replenish the inventory. This research work involves the inventory application. In such a modeling approach, each ordern has a random lead time similar to a δ- shock model. If the demand is less amonut of inventory i, the demand is satisfied. If otherwise then demnads are not satisfied. In such a modeling approach ,a system is subject to randomly occouring demands, each of which adds a nonnegative random quantity to the accumulated demand process. Here, the demand is consıdered instead of shock arrivals. It analyses the existing models and uses demand as random variables, and ordering inventory in single units. A new model was developed which was governed by some assumptions based on the existing models on deteriorating systems. Stochastical modeling was usede to model the parameters gotten from these assumptions and hence used to establish this new class of model. Key words: δ- shock model, Inventory, Demands, Random lead tımes. '
Materyal türü: Thesis

Includes CD

Includes references (50-53 p.)

'Abstract The study of optimal replcement and repair strategies of deteriorating systemshas widely attracted attention of several researchers in the recent past owing to the fact that all real world systems are deteriorating in nature. To ensure the reliability of these systems, several models have been developed by many researchers among which shock models have attracted a lot of interest base on its wide area of application. While the earlier shock models concentrated solely on the magnitude of the damage caused by the shocks,(Yeh Lam and Zhang,2004) model paid attentyion to the frequency of the shocks. Recently (Rangan, A and Tansu,A 2008) got some results on a new class of shock model by analysing the statistical charateristies of δ- shock model, thereby establishing an optimal replacement and repair model for deteriorating systems. On the other hand the subject of inventory control is a major consideration in many situation and as such can be modeled in such a similar approach to deteriorating systems. Maintaing inventiories is necessary for any company dealing with physical products, including maunfacturers, wholesalers and retailers; hence inventories are found in every sector of any economy. Companies use operations research to improve their inventory policy for when and how much to replenish their inventory which could be done by formulating a mathematical model describing the behavior of the inventory system in order to know when and how much to replenish the inventory. This research work involves the inventory application. In such a modeling approach, each ordern has a random lead time similar to a δ- shock model. If the demand is less amonut of inventory i, the demand is satisfied. If otherwise then demnads are not satisfied. In such a modeling approach ,a system is subject to randomly occouring demands, each of which adds a nonnegative random quantity to the accumulated demand process. Here, the demand is consıdered instead of shock arrivals. It analyses the existing models and uses demand as random variables, and ordering inventory in single units. A new model was developed which was governed by some assumptions based on the existing models on deteriorating systems. Stochastical modeling was usede to model the parameters gotten from these assumptions and hence used to establish this new class of model. Key words: δ- shock model, Inventory, Demands, Random lead tımes. '

1 CHAPTER 1

1 INTRODUCTION

4 CHAPTER 2

4 LITERATURE REVIEW

4 INVENTORY THEORY

9 SUPPLY CHAIN VISIBILITY

10 DEMAND VISIBILTY IN INVENTORY CONTROL

11 CONCEPT OF INVENTORY CONTROL

11 SHOCK MODELS IN SYSTEM RELIABILITY

12 EXTREME AND CUMULATIVE SHOCKS

13 SHOCK MODEL AS A MAINTANANCE MODEL IN AUTOMOBILES

14 RESEARCH FOCUS

15 CHAPTER 3

15 POISSON PROCESSES

15 INTRODUCTION

17 ARRIVAL PROCESSES

17 HOMOGEOUS AND NON -HOMOGEOUS POISSON PROCESS

18 RENEWAL PROCESS

20 CHAPTER 4

20 METHODOLOGY

NOTATION USED

20 THE MODEL ASSUMPTION

21 THE STATISTICAL CHARACTERISTICS

25 SPECIFIC MODELS AND DISCUSSIONS

26 MODEL 1=EXPERIMANTIAL MODEL

27 MODEL 2=GAMMA MODEL

28 MODEL 3= UNIFROM DISTRIBUTION MODEL

30 CHAPTER 5

30 RESULTS AND ANALYSIS

30 MODEL 1- EXPONENTIAL MODEL

31 MODEL 2-GAMMA ORDER

32 MODEL 3- UNIFORM

34 SUMMARY FOR ALL MODELS

36 CHAPTER 6

36 CONCLUSION AND FUTURE WORK

39 APPENDIX

50 REFERENCES

54 CURRICULUM VITAE

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