A note on generalized single-vendor multi-buyer integrated inventory supply chain models with better synchronization

In a recent paper, Hoque (2011) developed two single-vendor multi-buyer models with synchronization by transferring the vendor′s lot with equal and/or unequal sized batches. He reported that his proposed models lead to significant cost reductions when compared to the existing related ones in the literature. In this note, we show that the comparison of Hoque′s model with Zavanella and Zanoni′s (2009) model is not appropriate as they are based on different treatments of the total ordering costs. Furthermore, in case of zero transportation cost, we show that Hoque′s models lead to impractical solutions. Even when we adjust the total ordering costs to be similar to the one in Zavanella and Zanoni′ model, Hoque′s models do not generate promising results as reported with the original form of the ordering costs.