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Title:Simple stochastic model for planning the inventory of spare components subject to wear-out
Authors:ID Brezavšček, Alenka (Author)
Files:.pdf Organizacija_2011_Brezavscek_Simple_Stochastic_Model_for_Planning_the_Inventory_of_Spare_Components_Subject_to_Wear-out.pdf (2,38 MB)
MD5: C1FDBABB9C8FB8E3BB2F7015928647FF
 
URL http://www.degruyter.com/view/j/orga.2011.44.issue-4/v10051-011-0012-y/v10051-011-0012-y.xml
 
Language:English
Work type:Scientific work
Typology:1.01 - Original Scientific Article
Organization:FOV - Faculty of Organizational Sciences in Kranj
Abstract:We treat an industrial system which comprises of a number of identical components subject to wear-out. To support the system maintenance an appropriate inventory of spare components is needed. In order to plan the sufficient inventory of spare components, two variants of a simple stochastic model are developed. In both variants, the aim is to determine how many spare components are needed at the beginning of a planning interval to meet demand for corrective replacements during this interval. Under the first variant the acceptable probability of spare shortage during the planning interval is chosen as a decision variable. While in the second variant the adequate spare inventory level is assessed by taking into account the expected number of component failures within the planning interval. A comparison of both variants of the model shows that calculations involved in the second variant are simpler. However, it can only be used when the inventory of spare components can be planned for a relatively long period of time. The determination of an adequate number of spare components according to both variants of our model depends on the form of the probability density function of component failure times. Since the components are subject to wear-out, this function exhibits a peak-shaped form that can be described by different statistical density functions. Advantages and disadvantages of using the normal, lognormal, Weibull, and Gamma density function in our model are discussed. Among the probability density functions studied, the normal density function is found to be the most appropriate for calculations in our model. The applicability of both variants of the model is given through numerical examples using field data on electric locomotives of Slovenian Railways.
Keywords:industrial system, wear-out, maintenance, corrective replacements, spare components
Publication status:Published
Publication version:Version of Record
Year of publishing:2011
Number of pages:str. 120-127
Numbering:Letn. 44, št. 4
PID:20.500.12556/DKUM-52232 New window
ISSN:1318-5454
UDC:658.562
ISSN on article:1318-5454
COBISS.SI-ID:6897171 New window
DOI:10.2478/v10051-011-0012-y New window
NUK URN:URN:SI:UM:DK:JH5VISAH
Publication date in DKUM:10.07.2015
Views:1895
Downloads:408
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Categories:Misc.
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Record is a part of a journal

Title:Organizacija : revija za management, informatiko in kadre
Shortened title:Organizacija
Publisher:Moderna organizacija
ISSN:1318-5454
COBISS.SI-ID:610909 New window

Licences

License:CC BY-NC-ND 4.0, Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International
Link:http://creativecommons.org/licenses/by-nc-nd/4.0/
Description:The most restrictive Creative Commons license. This only allows people to download and share the work for no commercial gain and for no other purposes.
Licensing start date:10.07.2015

Secondary language

Language:Slovenian
Title:Enostavni stohastični model za planiranje zaloge rezervnih komponent v obdobju izrabe
Abstract:V prispevku obravnavamo proizvodni sistem, ki vsebuje določeno število identičnih komponent v obdobju izrabe. Komponente sistema lahko med delovanjem sistema odpovedo, kar povzroči zastoj sistema. Da lahko komponento, ki odpove, čim prej nadomestimo z novo, je potrebno imeti na zalogi zadostno količino rezervnih komponent. Predstavljeni sta dve varianti enostavnega stohastičnega modela, ki omogočata določitev minimalnega števila rezervnih komponent na zalogi na začetku intervala planiranja tako, da je zadoščeno izbranemu kriteriju. V prvi varianti modela je kot kriterij pri določanju ustrezne zaloge rezervnih komponent upoštevana verjetnost, da se zaloga tekom intervala planiranja izčrpa, medtem ko v drugi varianti planiramo zalogo rezervnih komponent glede na povprečno število odpovedi, ki jih v intervalu planiranja pričakujemo. Primerjava obeh variant modela je pokazala, da je druga varianta modela z matematičnega stališča enostavnejša, njena pomanjkljivost pa je v tem, da je uporabna le, kadar je možno zalogo rezervnih komponent planirati za daljše časovno obdobje. Določitev ustreznega števila rezervnih komponent na podlagi obeh variant modela je odvisna od funkcije gostote verjetnosti za čas do odpovedi obravnavanih komponent. Kadar so komponente v obdobju izrabe, ima ta funkcija karakteristično kopasto obliko, ki jo lahko popišemo z ustrezno verjetnostno porazdelitvijo. Z vidika uporabnosti v modelu smo analizirali normalno, lognormalno, Weibullovo in gama verjetnostno porazdelitev. Ugotovili smo, da je za izračune, ki so v modelu zahtevani, najbolj prikladna normalna verjetnostna porazdelitev. Uporabnost obeh variant modela smo ponazorili z numeričnimi primeri in podatki o eksploataciji električnih lokomotiv iz Slovenskih železnic.
Keywords:proizvodni sistem, izraba, vzdrževanje, odpoved, zamenjava


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  1. Organizacija

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