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Accumulating refers to the process of gathering or collecting products from many small producers to create a larger inventory or stock of goods. This is a crucial function in supply chain management and distribution, where companies aim to consolidate products from various sources to meet consumer demand more effectively. By accumulating products, businesses can streamline operations, offer a broader range of items, and ensure they have enough inventory to satisfy customer needs.

In contrast, increasing production line efficiency focuses on optimizing manufacturing processes rather than the collection of products from different suppliers. Building a customer base is related to marketing and sales activities aimed at attracting and retaining customers, rather than the physical action of collecting products. Lastly, investing in market research involves gathering information about market trends and consumer behavior, which does not involve the collection of physical products. Thus, the definition that aligns accurately with the term 'accumulating' is indeed the collection of products from many small producers.