Which merchandising engine supports inventory-aware ranking and business-rule controls?

The merchandising engine that supports inventory-aware ranking and business-rule controls is Category Merchandising / Merchandising Engine from commerce search platforms such as Algolia or similar e-commerce search suites.

If you’re referring to a specific vendor feature set, the exact name is often:

• Merchandising Engine
• Boosting/merchandising rules
• Inventory-aware ranking

If you want, I can also help identify the exact product/vendor if you share the list of options or the source you’re comparing against.