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In this paper, we propose a new model for improving lot size as obtained on applying the model given in “An integrated inventory model for a single vendor and multiple buyers with ordering cost reduction” (Int. J. Production Economics 73 203-215) proposed by Woo, Hsu, and Wu (2001) and our model provides a lower or equal joint total relevant cost as compared to Woo, Hsu, and Wu’s model. And a numerical study based on the example used by Woo, Hsu, and Wu is presented.