On-Call Scheduling
On-Call Scheduling problems involve distributing on-call duties across available staff members fairly. You need to calculate how many days each person is on-call, considering availability constraints.
What You'll Learn
Introduction to On-Call Scheduling
On-Call Scheduling problems involve distributing on-call duties across available staff members fairly. You need to calculate how many days each person is on-call, considering availability constraints.
Prerequisites
How to Solve On-Call Scheduling Problems
Step 1: Total on-call days = period length (e.g., 30 days)
Step 2: Number of available staff = n
Step 3: Base days per person = total_days ÷ n
Step 4: Remainder = total_days % n
Step 5: Remainder people get one extra day
Step 6: Answer with distribution
Example Problem
Example: 30 days, 8 doctors. How many days is each on-call? Solution: Step 1: Total = 30, n = 8 Step 2: Base = 30 ÷ 8 = 3 days (since 8×3=24) Step 3: Remainder = 30 - 24 = 6 Step 4: 6 doctors get 4 days, 2 doctors get 3 days Answer: 6 doctors get 4 days, 2 get 3 days
Pro Tips & Tricks
- Base days = floor(total / n)
- Extra days = total % n
- Extra days go to first (or random) n people
- If availability constraints exist, adjust accordingly
- Total days sum = total on-call period
Shortcut Methods to Solve Faster
Common Mistakes to Avoid
Practice Worksheets
Practice makes perfect! Work through these worksheets to master On-Call Scheduling. Each worksheet contains 20 questions with detailed explanations. Start from Worksheet 1 and progress through increasing difficulty levels.
Exam Importance
On-Call Scheduling is an important topic for various competitive exams. Here's how frequently it appears:
Ready to Master On-Call Scheduling?
Start with Worksheet 1 and work your way up to expert level! Each worksheet includes: