An inventory model for deteriorating items with exponential declining demand and partial backlogging
Author(s) -
LiangYuh Ouyang,
KunShan Wu,
Mei-Chuan Cheng
Publication year - 2005
Publication title -
yugoslav journal of operations research
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.221
H-Index - 21
eISSN - 1820-743X
pISSN - 0354-0243
DOI - 10.2298/yjor0502277o
Subject(s) - economic order quantity , economic shortage , sensitivity (control systems) , mathematical optimization , exponential function , variable (mathematics) , function (biology) , computer science , exponential growth , regular polygon , economics , mathematical economics , operations research , mathematics , supply chain , mathematical analysis , linguistics , philosophy , electronic engineering , evolutionary biology , government (linguistics) , political science , law , biology , engineering , geometry
This study proposes an EOQ inventory mathematical model for deteriorating items with exponentially decreasing demand. In the model, the shortages are allowed and partially backordered. The backlogging rate is variable and dependent on the waiting time for the next replenishment. Further, we show that the minimized objective cost function is jointly convex and derive the optimal solution. A numerical example is presented to illustrate the model and the sensitivity analysis is also studied
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