In this paper, we made the work of Roy ([2008]) more realistic by considering demand rate and holding cost as linear functions of time and developed an inventory model for deteriorating items where deterioration rate is expressed as a linearly increasing function of time.
An order-level inventory model for deteriorating items having constant deterioration rate was studied by Shah and Jaiswal (1977).
Srivastava and Gupta (2007) studied an EOQ model for deteriorating items with constant deterioration rate, both the constant and time-dependent demand rate and no-shortages.
In this study, a one-manufacturer one-retailer supply chain mone-manufacturer one-retailerwith cone-manufacturer one-retailere and price-dependent demand isupplyloped, in whichainth players cooperatively invest in preservation technology to reduce deterioration.
(2013) developed an inventory model for deteriorating items with time-proportional deterioration rate, time-dependent linear demand rate and time-varying holding cost under partial backlogging.
They developed an EOQ model for deteriorating items in which time and deterioration of units are treated as continuous variables and demand is a random variable.
Another class of researches on inventory model for deteriorating items was developed by considering the deterioration rate as time-proportional.
In this paper, an EOQ inventory model for deteriorating items is developed with time-proportional deterioration rate as well as both the constant and time-dependent linear demand rate.
Misra (1975) suggested an optimum production lot size inventory model for deteriorating items by including both constant and varying deterioration rate.
Giri et al. (1996) considered a generalized EOQ model for deteriorating items here in which the demand rate, deterioration rate, holding cost and ordering cost are all assumed to be continuous functions of time.
Dave and Patel (1981) developed the inventory model for deteriorating items with linear increasing in demand rate and deterioration rate which was a constant fraction of the on-hand inventory.
