import random
from typing import List, Tuple

def generate_interval_scheduling_case(size: int = 10, min_time: int = 0, max_time: int = 100) -> List[Tuple[int, int]]:
    """
    Generates a list of random intervals (start, end).
    """
    intervals = []
    for _ in range(size):
        start = random.randint(min_time, max_time - 1)
        # Ensure end > start
        duration = random.randint(1, (max_time - start) // 2 + 1 if (max_time - start) > 2 else 1) 
        end = min(start + duration, max_time)
        if end <= start:
            end = start + 1
        intervals.append((start, end))
    return intervals