Deterministic inventory model for items with Time varying demand, weibull distribution deterioration and shortages

In this paper, an EOQ inventory model is depleted not only by time varying demand but also by Weibull distribution deterioration, in which the inventory is permitted to start with shortages and end without shortages. A theory is developed to obtain the optimal solution of the problem; it is then ill...

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Main Author: Wu Kun-Shan
Format: Article
Language:English
Published: University of Belgrade 2002-01-01
Series:Yugoslav Journal of Operations Research
Subjects:
Online Access:http://www.doiserbia.nb.rs/img/doi/0354-0243/2002/0354-02430201061W.pdf
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author Wu Kun-Shan
author_facet Wu Kun-Shan
author_sort Wu Kun-Shan
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description In this paper, an EOQ inventory model is depleted not only by time varying demand but also by Weibull distribution deterioration, in which the inventory is permitted to start with shortages and end without shortages. A theory is developed to obtain the optimal solution of the problem; it is then illustrated with the aid of several numerical examples. Moreover, we also assume that the holding cost is a continuous, non-negative and non-decreasing function of time in order to extend the EOQ model. Finally, sensitivity of the optimal solution to changes in the values of different system parameters is also studied.
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spelling doaj.art-b613ef2e11cd400587276ffdf7707a002022-12-21T21:19:17ZengUniversity of BelgradeYugoslav Journal of Operations Research0354-02431820-743X2002-01-01121617210.2298/YJOR0201061WDeterministic inventory model for items with Time varying demand, weibull distribution deterioration and shortagesWu Kun-ShanIn this paper, an EOQ inventory model is depleted not only by time varying demand but also by Weibull distribution deterioration, in which the inventory is permitted to start with shortages and end without shortages. A theory is developed to obtain the optimal solution of the problem; it is then illustrated with the aid of several numerical examples. Moreover, we also assume that the holding cost is a continuous, non-negative and non-decreasing function of time in order to extend the EOQ model. Finally, sensitivity of the optimal solution to changes in the values of different system parameters is also studied.http://www.doiserbia.nb.rs/img/doi/0354-0243/2002/0354-02430201061W.pdfInventorytime-varying demandWeibull distributionshortage.
spellingShingle Wu Kun-Shan
Deterministic inventory model for items with Time varying demand, weibull distribution deterioration and shortages
Yugoslav Journal of Operations Research
Inventory
time-varying demand
Weibull distribution
shortage.
title Deterministic inventory model for items with Time varying demand, weibull distribution deterioration and shortages
title_full Deterministic inventory model for items with Time varying demand, weibull distribution deterioration and shortages
title_fullStr Deterministic inventory model for items with Time varying demand, weibull distribution deterioration and shortages
title_full_unstemmed Deterministic inventory model for items with Time varying demand, weibull distribution deterioration and shortages
title_short Deterministic inventory model for items with Time varying demand, weibull distribution deterioration and shortages
title_sort deterministic inventory model for items with time varying demand weibull distribution deterioration and shortages
topic Inventory
time-varying demand
Weibull distribution
shortage.
url http://www.doiserbia.nb.rs/img/doi/0354-0243/2002/0354-02430201061W.pdf
work_keys_str_mv AT wukunshan deterministicinventorymodelforitemswithtimevaryingdemandweibulldistributiondeteriorationandshortages