Step 1: Understand scientific management.
Scientific management was introduced by Frederick Winslow Taylor in the early 20th century, specifically around 1903, to improve industrial efficiency by analyzing workflows and standardizing tasks.
Step 2: Evaluate the options.
- The correct year for the introduction of scientific management is 1903, based on Taylor's work.
- The other dates are not associated with the establishment of scientific management.
Step 3: Conclude.
The scientific management theory was introduced in 1903.
Final Answer:
\[
\boxed{1903}
\]