# First-Fit Decreasing Cutter MCP for AI Agents MCP > The First-Fit Decreasing Cutter calculates the most mathematically efficient ways to cut raw stock material into multiple smaller pieces. This specialized MCP uses advanced optimization logic (the FFD algorithm) to determine optimal cutting plans, drastically reducing manufacturing waste and maximizing piece yield across boards. It handles complex requirements, verifying that all requested components fit within available stock lengths before production even begins. ## Overview - **Category:** logistics - **Price:** Free - **Endpoint:** https://edge.vinkius.com/vk_preview_yXCrpHsuj8qtPLyUodpNQw8bKv0ontkOk4aiYoGR/mcp - **Tags:** cutting-plan, bin-packing, material-waste, efficiency, stock-optimization ## Description Dealing with raw materials means managing two things: the required parts list and the inevitable scrap wood. The First-Fit Decreasing Cutter solves this optimization problem right where you need it. Instead of having an engineer manually juggle measurements across spreadsheets, this MCP runs a specialized engine that mathematically figures out how to distribute every piece onto available stock boards in the absolute best way possible. You simply feed it your total raw material length and your list of required cuts. The system returns detailed breakdowns showing exactly which pieces go on which board, minimizing the overall number of boards you have to buy or use. It’s a huge time saver for production planning and gives you confidence that every square inch of material is accounted for. You can connect this MCP through Vinkius' catalog alongside other specialized tools to build complete supply chain workflows. ## Tools ### analyze_plan_efficiency Calculates the material waste percentage and utilization rate based on a completed cutting plan. ### calculate_cutting_plan Determines how to distribute required pieces across multiple boards to minimize total stock consumption. ### verify_piece_compatibility Checks if every single requested piece is physically capable of being cut from a unit of available raw stock length. ## Prompt Examples **Prompt:** ``` I need to cut 15 pieces: three at 2000mm, five at 800mm, and seven at 450mm. My raw stock is 6000mm long. ``` **Response:** ``` **Optimal Cutting Plan Generated** * **Total Boards Used:** 3 * **Waste Percentage:** 12.5% **Board Breakdown:** * **Board 1 (6000mm):** Cuts [2000, 2000, 800]. Waste: 1000mm. * **Board 2 (6000mm):** Cuts [2000, 450, 450, 450]. Waste: 700mm. * **Board 3 (6000mm):** Cuts [800, 450, 450, 450, 450]. Waste: 1300mm. ``` **Prompt:** ``` Can I cut a 2100mm panel from a raw stock length of 2000mm? And what about two 900mm pieces? ``` **Response:** ``` **Compatibility Check Results** ❌ **Incompatible Pieces Detected:** [2100mm]. This piece exceeds the available stock length of 2000mm. ✅ **Compatible Plan Found:** The two 900mm panels fit easily. They use a total length of 1800mm, leaving 200mm of usable scrap material from that board. ``` **Prompt:** ``` Analyze the efficiency for a job where I used 5000mm of stock and ended up with 750mm of waste. ``` **Response:** ``` **Plan Efficiency Report** * **Total Stock Used:** 5000mm * **Total Waste Detected:** 750mm * **Utilization Percentage:** 85.0% * **Waste Percentage:** 15.0% This suggests you're doing well, but there might be room to consolidate cuts for the next job. ``` ## Capabilities ### Calculate Optimized Cutting Plans The MCP generates board-by-board instructions detailing the most efficient distribution of required pieces across available stock. ### Verify Piece Compatibility It checks if all requested components can physically fit within a single unit of raw stock, preventing costly material errors. ### Analyze Material Efficiency The tool evaluates the resulting plan, providing precise metrics on waste percentage and overall utilization rates. ### Determine Minimum Stock Usage It tells you the absolute minimum total length of raw material needed to fulfill an entire order batch. ## Use Cases ### Designing Custom Furniture Components A furniture shop needs to cut 50 drawer sides (800mm) and 10 decorative panels (250mm). The agent runs the tool, which returns an optimized plan showing the total boards needed and a clear layout for the woodworkers using `calculate_cutting_plan`. ### Prototyping Electronics Boards A design team has raw carbon fiber sheets. They ask their agent to check if 12 different component sizes can be cut from a single sheet of available stock using `verify_piece_compatibility`. The tool instantly flags which pieces are too large or incompatible. ### Palletizing Shipping Crates A logistics firm needs to pack crates with mixed sizes. They feed the required dimensions into the MCP, then use `analyze_plan_efficiency` to generate a report showing their utilization rate and minimum waste percentage per shipment. ### Mass Manufacturing of Shelving Units The factory needs 30 identical shelves (2000mm). They ask the agent to calculate the optimal cutting plan using `calculate_cutting_plan`, ensuring they don't over-order raw material and minimizing waste across hundreds of pieces. ## Benefits - Stop wasting money on scrap. The `analyze_plan_efficiency` tool tells you exactly what percentage of your material is waste, letting you negotiate better pricing or adjust designs. - Save time and budget by getting optimal layouts instantly. Use the `calculate_cutting_plan` to figure out board breakdowns in seconds instead of hours of manual spreadsheet work. - Eliminate costly setup errors. Before committing to a cut, use `verify_piece_compatibility` to confirm every single component fits the raw stock length available. - Streamline material ordering. You get precise total stock consumption reports, ensuring you only order exactly what you need for the job batch. - Improve project profitability. By maximizing yield per board, this MCP directly impacts your bottom line and reduces overhead costs. ## How It Works The bottom line is you get mathematically proven, minimal-waste cutting plans without needing specialized CAD or optimization software. 1. You input two things: the total available stock length and a list detailing every specific piece size required for the job. 2. The MCP processes this data using the First-Fit Decreasing algorithm, grouping pieces onto virtual boards to minimize waste while ensuring all requirements are met. 3. You receive a detailed breakdown of the optimal cutting plan, including how many full boards were used and the calculated percentage of material that can be saved. ## Frequently Asked Questions **How does the First-Fit Decreasing Cutter help me minimize waste on custom projects?** It calculates optimal cutting plans that ensure you use every bit of expensive raw material. Instead of guessing, it mathematically tells you how to arrange mixed pieces onto the fewest boards possible, reducing scrap and saving money. **What if I have a very large piece that might not fit on my standard stock size?** You can use the compatibility check feature. This tool verifies whether every single part you need is physically capable of being cut from your available raw material length, stopping errors before they cost time or money. **Is the First-Fit Decreasing Cutter just a calculator for how many boards I need?** It's much more than that. It provides detailed board breakdowns—showing *which* pieces go on *which* board and exactly how much scrap is left over, giving you full control over your material yield. **Can I use this MCP for different types of materials, like wood or metal?** The tool focuses on dimensional optimization. As long as the raw material has a consistent linear stock length and you can provide accurate dimensions, it will calculate the best way to cut those pieces. **What if my cutting plan is finished? How do I know how good it was?** The efficiency analysis tool gives you a clear report showing your utilization percentage and waste percentage. This helps you measure profitability and improve material buying for next time.