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队列模拟服务器
myalone/mm1-simulation
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更新于 2026-08-23
该服务暂未提供标准配置，请参考 README 手动接入
可用工具 （5 个）
该服务在 MCP 协议中暴露的工具，AI 可按需调用
validate_config 3 个参数 需填 2 项
必填参数：arrival_rate、service_rate
calculate_metrics 2 个参数 需填 2 项
必填参数：arrival_rate、service_rate
run_simulation 4 个参数 需填 2 项
必填参数：arrival_rate、service_rate
compare_results 3 个参数 需填 3 项
必填参数：simulation_metrics、arrival_rate、service_rate
recommend_parameters 3 个参数
该工具无需必填参数，直接调用即可
服务介绍
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
Online Tool test 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，注册用户即可获得APIKEY
Visit XiaoBenYang website https://xiaobenyang.com, register and get the APIKEY.
SSE
{
"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
{
"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
{
"mcpServers": {
"队列模拟服务器": {
"command": "npx",
"args": [
"-y",
"xiaobenyang-mcp"
],
"env": {
"XBY_APIKEY": "<YOUR_XBY_APIKEY>",
"mcpId": "1777419071364099",
},
"transport": "stdio"
}
}
}
