```typescript
export function mergeIntervals(intervals: number[][]): number[][] {
  if (intervals.length === 0) return [];

  // Sort intervals by start time
  intervals.sort((a, b) => a[0] - b[0]);

  const merged: number[][] = [intervals[0]];

  for (let i = 1; i < intervals.length; i++) {
    const currentStart = intervals[i][0];
    const lastEnd = merged[merged.length - 1][1];

    if (currentStart <= lastEnd) {
      // Merge the intervals
      merged[merged.length - 1] = [lastEnd, Math.max(lastEnd, intervals[i][1])];
    } else {
      // Add a new interval
      merged.push(intervals[i]);
    }
  }

  return merged;
}
```