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040 _aCY-NiCIU
_btur
_cCY-NiCIU
_erda
041 0 _aeng
090 _aYL 395
_b A34 2014
100 1 _aAdeoye, Olaitan C.
245 0 _aAn application of shock models to the inventory
_cOlaitan C. Adeoye; Supervisor: Ayşe Tansu Tunçbilek
260 _aNicosia
_bCyprus International University
_c2014
300 _aVII, 56 p.
_btable
_c30.5 cm
_eCD
336 _2rdacontent
_atext
_btxt
337 _2rdamedia
_aunmediated
_bn
338 _2rdacarrier
_avolume
_bnc
500 _3Includes CD
504 _aIncludes references (50-53 p.)
520 _a'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. '
650 0 0 _aEnvanter
650 0 0 _aInventory
650 0 0 _aRastgele teslim süreleri
650 0 0 _aRandom lead times
700 0 _aSupervisor: Tunçbilek, Ayşe Tansu
_91656
942 _2ddc
_cTS
505 1 _g1
_tCHAPTER 1
505 1 _g1
_tINTRODUCTION
505 1 _g4
_tCHAPTER 2
505 1 _g4
_tLITERATURE REVIEW
505 1 _g4
_tINVENTORY THEORY
505 1 _g9
_tSUPPLY CHAIN VISIBILITY
505 1 _g10
_tDEMAND VISIBILTY IN INVENTORY CONTROL
505 1 _g11
_tCONCEPT OF INVENTORY CONTROL
505 1 _g11
_tSHOCK MODELS IN SYSTEM RELIABILITY
505 1 _g12
_tEXTREME AND CUMULATIVE SHOCKS
505 1 _g13
_tSHOCK MODEL AS A MAINTANANCE MODEL IN AUTOMOBILES
505 1 _g14
_tRESEARCH FOCUS
505 1 _g15
_tCHAPTER 3
505 1 _g15
_tPOISSON PROCESSES
505 1 _g15
_tINTRODUCTION
505 1 _g17
_tARRIVAL PROCESSES
505 1 _g17
_tHOMOGEOUS AND NON -HOMOGEOUS POISSON PROCESS
505 1 _g18
_tRENEWAL PROCESS
505 1 _g20
_tCHAPTER 4
505 1 _g20
_tMETHODOLOGY
505 1 _tNOTATION USED
505 1 _g20
_tTHE MODEL ASSUMPTION
505 1 _g21
_tTHE STATISTICAL CHARACTERISTICS
505 1 _g25
_tSPECIFIC MODELS AND DISCUSSIONS
505 1 _g26
_tMODEL 1=EXPERIMANTIAL MODEL
505 1 _g27
_tMODEL 2=GAMMA MODEL
505 1 _g28
_tMODEL 3= UNIFROM DISTRIBUTION MODEL
505 1 _g30
_tCHAPTER 5
505 1 _g30
_tRESULTS AND ANALYSIS
505 1 _g30
_tMODEL 1- EXPONENTIAL MODEL
505 1 _g31
_tMODEL 2-GAMMA ORDER
505 1 _g32
_tMODEL 3- UNIFORM
505 1 _g34
_tSUMMARY FOR ALL MODELS
505 1 _g36
_tCHAPTER 6
505 1 _g36
_tCONCLUSION AND FUTURE WORK
505 1 _g39
_tAPPENDIX
505 1 _g50
_tREFERENCES
505 1 _g54
_tCURRICULUM VITAE
999 _c447
_d447