Step 1: Analyze the function described.
Step 1: The question describes a centralized department that handles the entire workflow for sterile items: processing (cleaning), sterilizing, storing, and dispensing.
Step 2: Identify the standard name for this department.
Step 2: The universally recognized name for this crucial hospital department is the Central Sterile Supply Department, abbreviated as CSSD. Sometimes it is also called the Sterile Processing Department (SPD).
Step 3: Evaluate the options for the most accurate name.
Step 3: While option (C) "Central sterilizing supply department" is functionally similar, the most common and standard official name is "Central sterile supply department". The other options "source" and "common" are incorrect.