# 队列模拟服务器
## 基本信息
- Slug: `myalone-mm1-simulation`
- Source: modelscope
- Publisher: myalone/mm1-simulation
- Categories: developer-tools
- Hosted: Yes
- License: Unknown
- Source URL: https://www.modelscope.cn/mcp/servers/myalone/mm1-simulation
## 简介
一个用于M/M/1和M/M/c队列系统模拟和分析的Model Context Protocol服务器，提供全面的资源、工具和提示。
## 安装提示

```bash
### STREAMABLE HTTP ```json { "mcpServers": { "队列模拟服务器": { "headers": { "XBY-APIKEY": "<YOUR_XBY_APIKEY>" }, "type": "streamable_http", "url": "https://mcp.xiaobenyang.com/1777419071364099/mcp" } } }
```

## MCP Server 详情

# 队列模拟服务器 mm1-simulation

一个用于M/M/1和M/M/c队列系统模拟和分析的Model Context Protocol服务器，提供全面的资源、工具和提示。
null## 工具列表 Tool List

本MCP服务封装下列工具，可让模型通过标准化接口调用以下功能。 本MCP服务封装下列工具，可让模型通过标准化接口调用以下功能。

| 工具 Tool   | 描述 Description         |
|-------|--------------------|
| validate_config | Validate M/M/1 configuration parameters  Checks parameter validity and system stability condition.  Args:     arrival_rate: Customer arrival rate (λ)     service_rate: Service rate (μ)     simulation_time: Simulation duration  Returns:     Dictionary with validation result:         - valid: bool         - errors: List[str] (if any)         - warnings: List[str] (if any)         - utilization: float (if valid) |
| calculate_metrics | Calculate theoretical M/M/1 performance metrics  Uses exact formulas to compute steady-state performance.  Args:     arrival_rate: λ (customers per time unit)     service_rate: μ (customers per time unit)  Returns:     Dictionary of theoretical metrics:         - utilization: ρ = λ/μ         - avg_queue_length: L_q = ρ²/(1-ρ)         - avg_num_in_system: L = ρ/(1-ρ)         - avg_waiting_time: W_q         - avg_system_time: W  Raises:     ValueError: If system is unstable (λ >= μ) |
| run_simulation | Run M/M/1 queue simulation using SimPy  Executes discrete event simulation and returns performance metrics.  Args:     arrival_rate: λ (customers per time unit)     service_rate: μ (customers per time unit)     simulation_time: Duration of simulation     random_seed: Random seed for reproducibility  Returns:     Dictionary with:         - simulation_metrics: Dict of simulated values         - theoretical_metrics: Dict of exact values         - comparison: Comparison analysis         - config: Simulation configuration used |
| compare_results | Compare simulation results with theoretical values  Analyzes accuracy of simulation by comparing against exact formulas.  Args:     simulation_metrics: Dictionary of simulated performance metrics     arrival_rate: λ used in simulation     service_rate: μ used in simulation  Returns:     Comparison analysis with:         - comparisons: Per-metric comparison         - mean_abs_error_pct: Average error         - max_error_pct: Maximum error         - within_10pct: bool         - accuracy_grade: Quality assessment |
| recommend_parameters | Recommend simulation parameters for target utilization  Suggests appropriate arrival rate, service rate, and simulation time for a given target utilization level.  Args:     target_utilization: Desired ρ (default: 0.7)     service_rate: Fixed μ (if None, suggests μ=10)     min_customers: Minimum customers to simulate  Returns:     Recommended parameters and expected metrics |


## 检查服务 ## Inspector

工具在线测试： [https://mcp.xiaobenyang.com/inspector/1777419071364099](https://mcp.xiaobenyang.com/inspector/1777419071364099)

Online Tool test [https://mcp.xiaobenyang.com/inspector/1777419071364099](https://mcp.xiaobenyang.com/inspector/1777419071364099)

## 服务配置 MCP Server Config


> #### 如何获取 XBY-APIKEY ？ How to get XBY-APIKEY ?
> 访问小笨羊科技网站 [https://xiaobenyang.com](https://xiaobenyang.com)，注册用户即可获得APIKEY
> Visit XiaoBenYang website [https://xiaobenyang.com](https://xiaobenyang.com), register and get the APIKEY.

### SSE
```json
{
  "mcpServers": {
    "队列模拟服务器": {
      "headers": {
        "XBY-APIKEY": "<YOUR_XBY_APIKEY>"
      },
      "type": "sse",
      "url": "https://mcp.xiaobenyang.com/1777419071364099/sse"
    }
  }
}
```
### STREAMABLE HTTP
```json
{
  "mcpServers": {
    "队列模拟服务器": {
      "headers": {
        "XBY-APIKEY": "<YOUR_XBY_APIKEY>"
      },
      "type": "streamable_http",
      "url": "https://mcp.xiaobenyang.com/1777419071364099/mcp"
    }
  }
}
```
### STDIO
```json
{
    "mcpServers": {
        "队列模拟服务器": {
          "command": "npx",
          "args": [
            "-y",
            "xiaobenyang-mcp"
          ],
          "env": {
            "XBY_APIKEY": "<YOUR_XBY_APIKEY>",
            "mcpId": "1777419071364099",
          },
          "transport": "stdio"
        }
      }
}

```