An EPQ model for delayed deteriorating items with reliability consideration and quadratic demand

An EPQ Model for Delayed Deteriorating Items with Two-Phase Production Period, Exponential Demand Rate and Linear Holding Cost

“…The proposed model in comparison with the existing models having the same objective and using the same data, it is discovered that the total variable cost obtained in this work is far minimum to that obtained in [ 17 , 49 ]. Similarly, the production quantity obtained in this work within a less than 1 year cycle is maximum to that obtained in [ 17 ] with a cycle of more than one and half years . Also, maximum to the production quantity obtained in [ 49 ] within a cycle of more than 1 year .…”

“…The model developed in this work is illustrated by performing the following numerical experiments. Some of the parameter values presented in Table 3 are adopted from [ 17 , 49 ] in addition to the values of parameters absent in their work which were also obtained optimally.…”

“…Later [ 13 ] provided an optimal inventory replenishment policy for a deteriorating item assuming time-quadratic demand and partially time-dependent backlog with shortages in every cycle. Khanra et al [ 14 ], Mishra [ 15 ], Uthayakumar and Karuppasamy [ 16 ], Dari and Sani [ 17 ], Priya and Senbagam [ 18 ], Babangida and Baraya [ 19 ] among others follows where quadratic demand rate are considered.…”

“…Inventories such as computers, photographic films, televisions, some industrial products and so on have a span of maintaining originality or quality and deterioration in that case sets in after that span which means they undergo decay over time. In [ 37 ], an EPQ model for items that exhibit a delay in deterioration with constant demand rate and reliability consideration is developed. Subsequently, [ 38 ] developed an EPQ model for non-instantaneous deteriorating items, where the demand rate is exponential, the production rate is a function of the demand rate, holding cost varies with time, partially deteriorated items are sold with a discount rate from the original one and the items which are completely deteriorated are superfluous.…”

“…Shortages are not allowed to occur. Moreover, some related studies on inventory models for non-instantaneous deteriorating items under various assumptions can be found in [ 17 , 19 , 39 ] and so on.…”