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We have developed an order level inventory system for deteriorating items   with demand rate as a ramp type function of time. The finite production rate   is proportional to the demand rate and the deterioration rate is independent   of time. The unit production cost is inversely proportional to the demand   rate. The model with no shortages case is discussed considering that: (a) the   demand rate is stabilized after the production stopping time and (b) the   demand is stabilized before the production stopping time. Optimal costs are   determined for two different cases

An economic order quantity model with ramp type demand rate, constant deterioration rate and unit production cost