In this paper, an economic order quantity (EOQ) model is developed for deteriorating items with linear demand pattern and variable deterioration rate. Shortages are allowed and partially backlogged. The backlogging rate is variable and dependent on the waiting time for the next replenishment. The objective of the model is to develop an optimal policy that minimizes the average total cost. The numerical example is used to illustrate the developed model. Sensitivity analysis of the optimal solution with respect to various parameters is carried out.