{ "openapi": "3.1.1", "info": { "title": "Twinworks Bottleneck Analysis API", "version": "1.0.0", "summary": "Find the constraint of a production line and test fixes: ranked bottlenecks with what-if gains.", "description": "Every endpoint performs the same calculation as the human page and returns inputs, result, units, assumptions, sources, warnings and computedAt. MCP endpoint: /mcp." }, "servers": [ { "url": "https://twinworksbottleneckanalysis.usefulweb.site" } ], "paths": { "/api/v1/calculate": { "post": { "operationId": "calculate", "summary": "Find the constraint of a production line and test fixes: ranked bottlenecks with what-if gains.", "description": "Ranks the stations of a Twinworks factory model by how often they constrain the line (active-period method: sole and shifting bottleneck shares), explains the dominant loss (working, breakdowns, setups, waiting for operators) and simulates typical improvements of the top bottleneck — an extra server, a 10 % faster cycle, faster repairs, shorter setups, more operators or a bigger buffer — with paired confidence intervals.\n\nMethodology:\n- Each replication records, per station, every active period (uninterrupted time working, in setup, under repair/maintenance or waiting for an operator; starved and blocked times end a period).\n- At every instant the station with the longest current active period is the bottleneck. Where the periods of consecutive bottlenecks overlap, both are shifting bottlenecks; otherwise the station is the sole bottleneck (Roser, Nakano & Tanaka 2001).\n- Stations are ranked by sole + shifting share (averaged over the window of replication 1, votes = how often a station was the top bottleneck across replications); ties are broken by active percentage.\n- What-if options for the top station are simulated with the same seeds as the baseline (common random numbers); the gain interval is a paired Student-t interval of the throughput differences.\n\nImprovement options are illustrative single changes; real fixes have costs and side effects that the model may not capture.", "tags": [ "apps" ], "x-mcp-tool": "twinworks_bottleneck_analysis", "requestBody": { "required": true, "content": { "application/json": { "schema": { "$ref": "#/components/schemas/TwinworksBottleneckAnalysisInput" }, "examples": { "example1": { "summary": "Bottleneck demo (5 stations, tiny buffers)", "value": { "template": "bottleneck-buffer-sizing", "replications": 5, "horizonHours": 8 } }, "example2": { "summary": "Job shop with setups on the mill", "value": { "template": "job-shop-routings", "replications": 4, "whatIf": true } } } } } }, "responses": { "200": { "description": "Calculation result envelope.", "content": { "application/json": { "schema": { "$ref": "#/components/schemas/TwinworksBottleneckAnalysisResult" } } } }, "400": { "description": "Malformed JSON body.", "content": { "application/problem+json": { "schema": { "$ref": "#/components/schemas/Problem" } } } }, "422": { "description": "Invalid input (see errors[]).", "content": { "application/problem+json": { "schema": { "$ref": "#/components/schemas/Problem" } } } }, "429": { "description": "Rate limit exceeded (see Retry-After).", "content": { "application/problem+json": { "schema": { "$ref": "#/components/schemas/Problem" } } } } } } }, "/api/v1/tool": { "get": { "operationId": "getToolDefinition", "summary": "Inputs, output schema and examples for this tool", "responses": { "200": { "description": "Tool definition.", "content": { "application/json": { "schema": { "type": "object" } } } } } } } }, "components": { "schemas": { "Problem": { "type": "object", "description": "RFC 9457 problem details. 422 responses include per-field `errors`.", "required": [ "type", "title", "status", "detail" ], "properties": { "type": { "type": "string" }, "title": { "type": "string" }, "status": { "type": "integer" }, "detail": { "type": "string" }, "code": { "type": "string" }, "errors": { "type": "array", "items": { "type": "object", "required": [ "field", "message" ], "properties": { "field": { "type": "string" }, "message": { "type": "string" } } } } } }, "TwinworksBottleneckAnalysisInput": { "type": "object", "additionalProperties": false, "properties": { "model": { "title": "Model or project JSON", "description": "A Twinworks project (.twinworks.json, format \"twinworks-project\") or a bare model with \"nodes\" and \"links\". Times in seconds, lengths in metres. Leave empty and pick a template instead.", "type": "string", "maxLength": 400000 }, "template": { "title": "Or start from a template", "type": "string", "enum": [ "", "three-station-line", "line-with-failures", "assembly-two-feeders", "job-shop-routings", "bottleneck-buffer-sizing", "conveyor-packaging", "mm1-validation" ], "default": "" }, "replications": { "title": "Replications", "type": "integer", "minimum": 2, "maximum": 20, "default": 5 }, "horizonHours": { "title": "Run length per replication", "description": "Overrides the model setting.", "type": "number", "minimum": 0.1, "maximum": 2400, "x-unit": "h" }, "whatIf": { "title": "Simulate improvement options for the top bottleneck", "type": "boolean", "default": true } }, "required": [] }, "TwinworksBottleneckAnalysisResult": { "type": "object", "additionalProperties": false, "required": [ "schemaVersion", "tool", "computedAt", "inputs", "summary", "result", "units", "assumptions", "sources", "warnings", "presentation", "links" ], "properties": { "schemaVersion": { "type": "string", "const": "1.0" }, "tool": { "type": "object", "additionalProperties": false, "required": [ "id", "name", "version" ], "properties": { "id": { "type": "string" }, "name": { "type": "string" }, "version": { "type": "string" } } }, "computedAt": { "type": "string", "format": "date-time" }, "inputs": { "type": "object", "description": "Normalised inputs actually used, including applied defaults." }, "summary": { "type": "string" }, "result": { "type": "object", "required": [ "primary", "ranking", "recommendations", "baselineThroughput", "whatIf" ], "properties": { "primary": { "type": [ "string", "null" ] }, "primaryName": { "type": [ "string", "null" ] }, "ranking": { "type": "array", "items": { "type": "object", "required": [ "rank", "id", "name", "sole", "shifting", "total", "activePct", "utilization", "dominantState", "votes" ], "properties": { "rank": { "type": "integer" }, "id": { "type": "string" }, "name": { "type": "string" }, "sole": { "type": "number" }, "shifting": { "type": "number" }, "total": { "type": "number" }, "activePct": { "type": "number" }, "utilization": { "type": "number" }, "dominantState": { "type": "string" }, "votes": { "type": "integer" } } } }, "recommendations": { "type": "array", "items": { "type": "string" } }, "baselineThroughput": { "type": "object", "required": [ "mean", "lo", "hi", "halfWidth", "n" ], "properties": { "mean": { "type": "number" }, "lo": { "type": "number" }, "hi": { "type": "number" }, "halfWidth": { "type": "number" }, "n": { "type": "integer" } } }, "whatIf": { "type": "array", "items": { "type": "object", "required": [ "id", "label", "throughput", "gain", "gainPct" ], "properties": { "id": { "type": "string" }, "label": { "type": "string" }, "throughput": { "type": "object", "required": [ "mean", "lo", "hi", "halfWidth", "n" ], "properties": { "mean": { "type": "number" }, "lo": { "type": "number" }, "hi": { "type": "number" }, "halfWidth": { "type": "number" }, "n": { "type": "integer" } } }, "gain": { "type": "object", "required": [ "mean", "lo", "hi", "halfWidth", "n" ], "properties": { "mean": { "type": "number" }, "lo": { "type": "number" }, "hi": { "type": "number" }, "halfWidth": { "type": "number" }, "n": { "type": "integer" } } }, "gainPct": { "type": "number" } } } } } }, "units": { "type": "object", "additionalProperties": { "type": "string" } }, "assumptions": { "type": "array", "items": { "type": "string" } }, "sources": { "type": "array", "items": { "type": "object", "additionalProperties": false, "required": [ "title" ], "properties": { "title": { "type": "string" }, "url": { "type": "string" }, "publisher": { "type": "string" }, "retrievedAt": { "type": "string" }, "note": { "type": "string" } } } }, "warnings": { "type": "array", "items": { "type": "string" } }, "presentation": { "type": "array", "items": { "type": "object" }, "description": "Display blocks used by the human page (same data)." }, "links": { "type": "object", "additionalProperties": false, "required": [ "human", "api", "openapi", "methodology" ], "properties": { "human": { "type": "string", "format": "uri" }, "api": { "type": "string", "format": "uri" }, "openapi": { "type": "string", "format": "uri" }, "methodology": { "type": "string", "format": "uri" } } } } } } } }