Generalized single‐vendor multi‐buyer integrated inventory supply chain models with a better synchronization

Researchers have synchronized both the single‐vendor single‐buyer and the single‐vendor multi‐buyer integrated inventory supply chains by transferring the lot either only with equal‐sized or only with unequal‐sized sub‐lot (batches). However, synchronization by transferring the lot with unequal and/or equal‐sized batches (combination of unequal and equal sized batches along with the previous two cases), though available in the former case, the latter one lacks it. Accumulating the inventory in each of the vendor and the buyers, here we develop a generalized single‐vendor multi‐buyer supply chain model individually by extending the idea of such synchronization, and present logical development of their minimal cost solution techniques. Thereafter, we highlight theoretically the uniqueness of the present techniques by showing the best available methods as their special cases. Special cases are validated with the solutions of some numerical problems. Then their comparative studies with recently developed techniques on two numerical problems are carried out to show significant cost reductions.