Final answer:
The query optimizer is the component module of a DBMS that rearranges and orders operations, eliminates redundancy, and uses efficient algorithms and indexes during query execution.
Step-by-step explanation:
The component module of a DBMS that is responsible for rearranging and ordering operations, eliminating redundancy, and using efficient algorithms and indexes during the execution of a query is the query optimizer. The query optimizer takes the query input by the user and determines the most efficient way to execute it by rearranging operations, selecting appropriate indexes, and applying algorithms to minimize the amount of time and resources required.
The component module of a DBMS that rearranges and orders operations, eliminates redundancy in queries, and utilizes efficient algorithms and indexes during the execution of a query is the query optimizer. The query optimizer takes the logical representation of a query that is output by the query compiler and transforms it into a plan that can be executed in the most efficient way possible. It considers various possible plans for executing a query and selects the one with the least estimated cost, in terms of resources like CPU and I/O operations. Its role is crucial in improving query performance and ensuring that the DBMS runs as efficiently as possible.