# Sampling System Design AI Agent Connect

> Calculates optimal sampling parameters using Gy's sampling theory.

## Overview
- **Category:** process-control
- **Price:** Free
- **Endpoint:** https://edge.vinkius.com/vk_preview_bOqxEtvzjWi9qpz6mB6XkyX6cjFdcPlDPUkwNHGf/ai-agent-connect
- **Tags:** sampling-theory, gy-formula, process-monitoring, material-science, quality-control

## Description

This MCP server provides specialized tools for process monitoring systems. It uses Gy's sampling theory to calculate the necessary `calculate_required_mass` to meet accuracy targets, determine the ideal `optimize_cutter_speed` for mechanical probes, and establish the correct `determine_sampling_frequency` based on material flow and stability. It also includes `validate_sampling_plan` to ensure all parameters are statistically viable.

## Tools

### calculate_required_mass
Determines the total mass of material needed to meet specific accuracy goals

### determine_sampling_frequency
Establishes how often the system should trigger a sampling event

### optimize_cutter_speed
Calculates the ideal speed for a mechanical sampling probe or cutter

### validate_sampling_plan
Performs a final sanity check on a complete set of parameters

## Prompt Examples

**Prompt:** 
```
How much mass do I need for a material with 0.2 heterogeneity and 5% target accuracy with a 0.1 particle size ratio?
```

**Response:** 
```
The required sampling mass is 450.5 kg.
```

**Prompt:** 
```
What is the recommended cutter speed for a 50kg sample, 1200kg/m3 density, and 0.05m probe diameter?
```

**Response:** 
```
The recommended speed is 1.2 m/s, with an operational range of 0.8 to 1.5 m/s.
```

**Prompt:** 
```
Is a plan with 100kg mass, 10 events per hour, 0.05 accuracy, and 0.1 heterogeneity viable?
```

**Response:** 
```
Yes, the plan is viable with a confidence level of 95%.
```

## Frequently Asked Questions

**How does the system handle material heterogeneity?**
The `calculate_required_mass` tool uses a heterogeneity coefficient to adjust the required sample mass, ensuring higher variance materials are captured accurately.

**Can I verify if my sampling plan is valid?**
Yes, use the `validate_sampling_plan` tool to perform a statistical sanity check on your mass, frequency, and accuracy parameters.

**What determines the cutter speed?**
The `optimize_cutter_speed` tool calculates speed based on the required sampling mass, material density, and the diameter of the probe.