AU  - Adeoye,Olaitan C.
AU  - Supervisor: Tunçbilek, Ayşe Tansu 
TI  - An application of shock models to the inventory
PY  - 2014///
CY  - Nicosia
PB  - Cyprus International University
KW  - Envanter
KW  - Inventory
KW  - Rastgele teslim süreleri
KW  - Random lead times
N1  - Includes references (50-53 p.); 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
N2  - '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. '
ER  -