- Baye’s estimator, Deterioration, Expected demand , Expected risk, Exponential distribution function, Permissible delay, Profit maximization, Optimal cycle time, , Squared error loss function
Abstract
In this paper, a continuous time stochastic inventory model for deteriorating items with permissible delay in payments is considered. The demand is assumed to be a random variable with exponential distribution of time. In any classical inventory model, it was assumed that the purchaser must pay for the items received immediately. However, in practices, the supplier usually is willing to provide the purchaser a permissible delay of payments if the purchaser orders a large quantity. Hence, the focus is to find the optimal cycle time by maximising the profit function when a supplier provides a permissible delay of payments for
a large order. However, the model contains the exponential parameter which is unknown and is estimated through MLE and Baye‘s under a squared error loss function. The conjugate Gamma prior is used as the prior distribution of exponential distribution. Finally, a numerical MCMC simulation is used to compare the estimators obtained with Expected risk and are shown graphically.