%0 Journal Article
%T A Note on an Order Level Inventory Model with Varying Two-Phased Demand and Time-Proportional Deterioration
%A Sephali Mohanty
%A Trailokyanath Singh
%A Sudhansu Sekhar Routary
%A Chinmayee Naik
%J American Journal of Operations Research
%P 59-73
%@ 2160-8849
%D 2024
%I Scientific Research Publishing
%R 10.4236/ajor.2024.141003
%X Th<span>e main purpose of this paper is to
generalize the effect of two-phased demand and variable deterioration within
the EOQ (Economic Order Quantity) framework. The rate of deterioration is a
linear function of time. The two-ph</span><span>a</span>sed
demand function states the constant function for a</span></span><span><span><span style=\"font-family:&quot;\"> </span></span></span><span><span><span style=\"font-family:&quot;\">certain
period and</span></span></span><span><span><span style=\"font-family:&quot;\"> the</span></span></span><span><span><span style=\"font-family:&quot;\"> quadratic function of time for </span></span></span><span><span><span style=\"font-family:&quot;\">the</span></span></span><span><span><span style=\"font-family:&quot;\"> rest part of the cycle time. No shortages as well as partial backlogging
are allowed to occur. The mathematical expressions are derived for determining
the optimal cycle time, order quantity and total cost fu<span>nction. An easy-to-use working procedure is provided to calculate the
above quantities. A couple of numerical examples are cited to explain the theo</span>retical
results and sensitivity analysis of some selected example</span></span></span><span><span><span style=\"font-family:&quot;\">s</span></span></span><span><span><span style=\"font-family:&quot;\"> is carried
out.
%K Deteriorating Items
%K EOQ (Economic Order Quantity)
%K Inventory
%K Time-Proportional Deterioration
%K Two-Phased Demand
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=130601