Ramen Shop Queue Estimator

Ramen Shop Queue Estimator MCP Connector for Claude

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Predict wait times and congestion for Japanese-style ramen shops using queueing theory.

3 tools Official Updated Oct 1, 2026 Official Vinkius Partner

This MCP server provides deterministic modeling for ramen shops with individual booth service. It uses Little's Law and M/M/c queueing approximations to provide accurate operational insights. Use get_service_metrics to monitor shop capacity and congestion, estimate_wait_time to predict how long customers in line will wait, and predict_probability_of_delay to assess the likelihood of significant delays.

queueing-theoryretailoperationsramenwait-time

3 tools expose this connector's capabilities to your AI agent.

estimate_wait_time

Predicts how long a customer currently in line will wait before being seated

get_service_metrics

Provides fundamental capacity and utilization metrics for the shop

predict_probability_of_delay

Estimates the likelihood that a customer will face a significant delay

See how to talk to your AI agent using Ramen Shop Queue Estimator.

How busy is the shop right now with 10 booths, 20 minute eating time, and 5 customers arriving per hour?

The shop has a service rate of 30 customers per hour, resulting in a utilization of 0.16. There is no extreme congestion.

How long will a customer wait if there are 5 booths, 15 minute eating time, and 10 people are in line?

The expected wait time for the customer at the front of the queue is 30 minutes.

What is the chance of a wait longer than 30 minutes with 8 booths, 20 minute eating time, and 20 customers per hour?

The probability of a wait exceeding 30 minutes is 0.12.

The tool uses the number of available booths and the average eating time to determine the service rate, then applies queueing theory to estimate wait times based on the current queue length.

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