âąī¸ Queue Theory Calculator

Optimize your staffing with stochastic modeling

📊 Your Business Data

â„šī¸ How It Works

This calculator uses the M/M/c queue model (Erlang C formula) to determine optimal staffing levels.

Stochastic modeling means it accounts for the random, unpredictable nature of customer arrivals.

The algorithm calculates the minimum staff needed to prevent infinite queues, then finds the optimal number to meet your wait time target.

đŸŽ¯ Your Results

Optimal Staffing
- employees
Expected Wait Time
- min
Staff Utilization
- %
Chance of Waiting
- %

📈 Staffing Scenarios Comparison

Staff Wait Time Utilization Status

💡 Recommendation

Try These Examples

☕ Coffee Shop

đŸ“Ĩ 40 customers/hour

⚡ 20 served/hour per barista

âąī¸ 5 min target wait

đŸĻ Bank Branch

đŸ“Ĩ 25 customers/hour

⚡ 12 served/hour per teller

âąī¸ 5 min target wait

📞 Call Center

đŸ“Ĩ 100 calls/hour

⚡ 12 calls/hour per agent

âąī¸ 3 min target wait