Math & Numbers

Linear Programming Simplex Solver (Two-Phase)

Two-phase simplex for 2–6 variables and 1–8 ≤/≥/= constraints: Bland's rule, per-iteration pivot log, optimal/unbounded/infeasible status, and substitution checks.

text· Text resultOpen tool

Quick start

Call this tool from your code in three languages.

cURL

curl -X POST 'https://api.elysiatools.com/en/api/tools/linear-programming-simplex' \
  -H 'Content-Type: application/json' \
  -d '{"objective":"3, 5","goal":"max","constraints":"1, 0 <= 4\n0, 2 <= 12\n3, 2 <= 18","decimalPlaces":4}'

API reference

Send a POST request with your inputs as JSON. File parameters require a separate upload first.

Endpoint

HTTP

POST https://api.elysiatools.com/en/api/tools/linear-programming-simplex

Parameters

Name	Type	Required	Description
objective	text	Yes	Coefficients of the objective c·x, one per variable (2–6 numbers).
goal	select	Yes	—
constraints	textarea	Yes	One constraint per line: coefficients (comma/space separated), then <=, >= or =, then the right-hand side. 1–8 lines.
decimalPlaces	number	No	—

Response format

Text result

JSON

{
  "result": "Processed text content",
  "error": "Error message (optional)",
  "message": "Notification message (optional)",
  "metadata": {
    "key": "value"
  }
}

MCP integration

Add this tool to your Model Context Protocol server so AI agents can list and call it.

Server configuration

Add this block to your MCP client configuration:

mcp.json

{
  "mcpServers": {
    "elysiatools-linear-programming-simplex": {
      "name": "linear-programming-simplex",
      "description": "Two-phase simplex for 2–6 variables and 1–8 ≤/≥/= constraints: Bland's rule, per-iteration pivot log, optimal/unbounded/infeasible status, and substitution checks.",
      "baseUrl": "https://api.elysiatools.com/mcp/sse?toolId=linear-programming-simplex",
      "command": "",
      "args": [],
      "env": {},
      "isActive": true,
      "type": "sse"
    }
  }
}

List available tools

After connecting to the SSE endpoint, list the exposed tools:

tools/list

{
  "jsonrpc": "2.0",
  "id": 1,
  "method": "tools/list"
}

Call this tool

Invoke the tool by its id, passing arguments built from its parameters:

tools/call

{
  "jsonrpc": "2.0",
  "id": 2,
  "method": "tools/call",
  "params": {
    "name": "linear-programming-simplex",
    "arguments": {
  "objective": "3, 5",
  "goal": "max",
  "constraints": "1, 0 <= 4\n0, 2 <= 12\n3, 2 <= 18",
  "decimalPlaces": 4
}
  }
}

Chain multiple tools in one session with a comma-separated toolId list, e.g. /mcp/sse?toolId=png-to-webp,jpg-to-webp,gif-to-webp (max 20).

Questions or issues? Contact [email protected]

Browse tools Open tool

curl -X POST 'https://api.elysiatools.com/en/api/tools/linear-programming-simplex' \ -H 'Content-Type: application/json' \ -d '{"objective":"3, 5","goal":"max","constraints":"1, 0 <= 4\n0, 2 <= 12\n3, 2 <= 18","decimalPlaces":4}'

Name

Type

Required

Description

objective

text

Yes

Coefficients of the objective c·x, one per variable (2–6 numbers).

goal

select

Yes

—

constraints

textarea

Yes

One constraint per line: coefficients (comma/space separated), then <=, >= or =, then the right-hand side. 1–8 lines.

decimalPlaces

number

—

{ "mcpServers": { "elysiatools-linear-programming-simplex": { "name": "linear-programming-simplex", "description": "Two-phase simplex for 2–6 variables and 1–8 ≤/≥/= constraints: Bland's rule, per-iteration pivot log, optimal/unbounded/infeasible status, and substitution checks.", "baseUrl": "https://api.elysiatools.com/mcp/sse?toolId=linear-programming-simplex", "command": "", "args": [], "env": {}, "isActive": true, "type": "sse" } } }

{ "jsonrpc": "2.0", "id": 2, "method": "tools/call", "params": { "name": "linear-programming-simplex", "arguments": { "objective": "3, 5", "goal": "max", "constraints": "1, 0 <= 4\n0, 2 <= 12\n3, 2 <= 18", "decimalPlaces": 4 } } }