MCP Server
Moltline Optimize
com.moltlinestudio/optimize
What this MCP does
Solves operational optimization problems including vehicle routing, packing, cutting stock, staff rostering, knapsack selection, distance matrices, and solution validation.
Capabilities
Tools
11
tools
cutting_stock_1d
Cutting Stock 1D
Least-waste cut plan for bars, pipes or boards from stock lengths, with saw kerf. FREE.
Typical input {"stock": [{"length": 6000, "cost": 30}], "parts":
[{"length": 2200, "qty": 3}, {"length": 1500, "qty": 4}], "kerf": 3}
returns {"bars": [{"stock_length": 6000, "cuts": [2200, 2200, 1500],
"waste": 94}], "bars_used": 3, "waste_pct": 4.2, "solver_status":
"OPTIMAL"}. Minimises total stock cost (or count when no cost); CP-SAT
proves optimality when it finishes inside the time limit and otherwise
returns the best plan found as FEASIBLE. Use for a cut list of up to 200
pieces. Not for sheets: use cutting_stock_2d. Errors: on invalid, missing, or malformed input this tool never raises a protocol error — it returns {"error": "<what is wrong and how to fix it>"} (for example {"error": "stock and parts must be non-empty lists (<value> and <value>)"}). Every call is read-only and idempotent, so after correcting the input it is always safe to retry.
Read only
Idempotent
Input schema
{'type': 'object', 'required': ['stock', 'parts'], 'properties': {'kerf': {'type': 'number', 'default': 0.0, 'description': 'material lost per cut (same unit as lengths).'}, 'parts': {'type': 'array', 'items': {'type': 'object', 'additionalProperties': True}, 'description': 'required pieces: {length, qty}.'}, 'stock': {'type': 'array', 'items': {'type': 'object', 'additionalProperties': True}, 'description': 'stock lengths available: {length, cost, qty} (qty = how many of that length may be used; default unlimited).'}, 'time_limit_s': {'type': 'number', 'default': 3.0, 'maximum': 15.0, 'minimum': 0, 'description': 'solver time budget in seconds (default 3, max 15).'}}, 'additionalProperties': False}
Output schema
{'type': 'object', 'additionalProperties': True}
cutting_stock_2d
Cutting Stock 2D
Guillotine cut layouts for rectangular parts from sheets, with kerf and grain. PREMIUM (license).
Typical input {"sheets": [{"id": "ply", "l": 2440, "w": 1220, "qty":
5}], "parts": [{"id": "side", "l": 800, "w": 400, "qty": 6}], "kerf":
3} returns {"sheets_used": 1, "layouts": [{"sheet": "ply", "placements":
[{"id": "side", "x": 0, "y": 0, "l": 800, "w": 400, "rotated": false}],
"fill_pct": 64.5, "offcuts": [...]}], "unplaced": []}. Every cut is a
guillotine cut (edge to edge): the sheet is ripped into strips and each
strip cross-cut, which is what a panel saw does; grain true forbids
rotating parts unless a part sets rotate true. Use for cabinet, sign
and sheet-metal cut lists. Not proven optimal: a best-fit shelf
heuristic, reported as such. Errors: on invalid, missing, or malformed input this tool never raises a protocol error — it returns {"error": "<what is wrong and how to fix it>"} (for example {"error": "sheets and parts must be non-empty lists (<value> and <value>)"}). Every call is read-only and idempotent, so after correcting the input it is always safe to retry.
Read only
Idempotent
Input schema
{'type': 'object', 'required': ['sheets', 'parts'], 'properties': {'kerf': {'type': 'number', 'default': 0.0, 'description': 'saw blade width lost per cut.'}, 'grain': {'type': 'boolean', 'default': False, 'description': "true when parts must keep their orientation (l along the sheet's l)."}, 'parts': {'type': 'array', 'items': {'type': 'object', 'additionalProperties': True}, 'description': '{id, l, w, qty, rotate}; rotate overrides the grain rule per part.'}, 'sheets': {'type': 'array', 'items': {'type': 'object', 'additionalProperties': True}, 'description': '{id, l, w, qty}; used in the order given.'}}, 'additionalProperties': False}
Output schema
{'type': 'object', 'additionalProperties': True}
distance_matrix_haversine
Distance Matrix Haversine
Straight-line (great-circle) distance matrix from coordinates. FREE.
Typical input {"points": [{"id": "depot", "lat": 51.5, "lon": -0.12},
{"id": "A", "lat": 51.52, "lon": -0.1}]} returns {"matrix": [[0,
2.6], [2.6, 0]], "unit": "km", "kind": "straight-line (haversine), not
road distance"}. Use when you have no road matrix and a straight-line
approximation is acceptable, or to sanity-check one. Not road routing:
real driving distances are longer and the difference is not uniform. Errors: on invalid, missing, or malformed input this tool never raises a protocol error — it returns {"error": "<what is wrong and how to fix it>"} (for example {"error": "points must be a list of at least two <value> objects"}). Every call is read-only and idempotent, so after correcting the input it is always safe to retry.
Read only
Idempotent
Input schema
{'type': 'object', 'required': ['points'], 'properties': {'unit': {'type': 'string', 'default': 'km', 'description': 'km (default) or mi.'}, 'points': {'type': 'array', 'items': {'type': 'object', 'additionalProperties': True}, 'description': 'list of {id, lat, lon} (up to 200).'}}, 'additionalProperties': False}
Output schema
{'type': 'object', 'additionalProperties': True}
explain_solution
Explain Solution
Plain-language summary of a solution from this server and the constraints that bind. FREE.
Typical input {"solution": <result of route_plan_fleet>} returns
{"summary": "2 vehicles serve 14 stops over 96.4 km; 1 stop unserved",
"binding_constraints": ["van2 is at 100% of capacity", "stop C arrives
at the end of its window"], "status": "FEASIBLE"}. It recognises
results from route_plan, route_plan_fleet, pack_bins, cutting_stock_1d,
cutting_stock_2d, roster_shifts and knapsack_select by their fields.
Use to turn solver output into a message for a dispatcher or a shop
floor. Not a re-solve. Errors: on invalid, missing, or malformed input this tool never raises a protocol error — it returns {"error": "<what is wrong and how to fix it>"} (for example {"error": "solution must be the result object returned by a solve tool on this server"}). Every call is read-only and idempotent, so after correcting the input it is always safe to retry.
Read only
Idempotent
Input schema
{'type': 'object', 'required': ['solution'], 'properties': {'solution': {'type': 'object', 'description': "the result object returned by one of this server's solve tools.", 'additionalProperties': True}}, 'additionalProperties': False}
Output schema
{'type': 'object', 'additionalProperties': True}
knapsack_select
Knapsack Select
Choose the items that maximise value under one or more capacity limits. FREE.
Typical input {"items": [{"id": "a", "value": 60, "weight": 10, "cost":
120}, {"id": "b", "value": 100, "weight": 20, "cost": 300}], "limits":
{"weight": 25, "cost": 400}} returns {"selected": ["a"], "value": 60,
"used": {"weight": 10, "cost": 120}, "slack": {"weight": 15, "cost":
280}, "solver_status": "OPTIMAL"}. Any numeric item field named in
limits is a constrained resource; qty lets an item be taken several
times. Use for budgets, cargo, campaign or feature selection. Not for
dependencies between items. Errors: on invalid, missing, or malformed input this tool never raises a protocol error — it returns {"error": "<what is wrong and how to fix it>"} (for example {"error": "items must be a non-empty list of <value>"}). Every call is read-only and idempotent, so after correcting the input it is always safe to retry.
Read only
Idempotent
Input schema
{'type': 'object', 'required': ['items', 'limits'], 'properties': {'items': {'type': 'array', 'items': {'type': 'object', 'additionalProperties': True}, 'description': '{id, value, qty, <resource fields>}: value to maximise plus one number per limited resource.'}, 'limits': {'type': 'object', 'description': '{resource_name: capacity} for each constrained field.', 'additionalProperties': True}, 'time_limit_s': {'type': 'number', 'default': 3.0, 'maximum': 15.0, 'minimum': 0, 'description': 'solver time budget in seconds (default 3, max 15).'}}, 'additionalProperties': False}
Output schema
{'type': 'object', 'additionalProperties': True}
pack_bins
Pack Bins
Place up to 20 boxes into containers or pallets with rotation, weight and support rules. FREE.
Typical input {"items": [{"id": "A", "l": 60, "w": 40, "h": 30,
"weight": 12, "qty": 4}], "containers": [{"id": "pallet", "l": 120,
"w": 80, "h": 150, "max_weight": 500, "qty": 2}]} returns
{"containers_used": 1, "containers": [{"placements": [{"id": "A",
"x": 0, "y": 0, "z": 0, "l": 60, "w": 40, "h": 30}, ...],
"volume_fill_pct": 20.0}], "unplaced": []}. rotation per item: any,
upright (rotate around the vertical axis only) or fixed; fragile items
carry nothing; rules.min_support (default 0.6) is the share of a box's
base that must rest on the floor or on boxes below. Use to decide pallet
or carton count before booking freight. Not proven optimal: it is a
first-fit-decreasing heuristic, reported as such. Errors: on invalid, missing, or malformed input this tool never raises a protocol error — it returns {"error": "<what is wrong and how to fix it>"}. Every call is read-only and idempotent, so after correcting the input it is always safe to retry.
Read only
Idempotent
Input schema
{'type': 'object', 'required': ['items', 'containers'], 'properties': {'items': {'type': 'array', 'items': {'type': 'object', 'additionalProperties': True}, 'description': 'list of {id, l, w, h, weight, qty, rotation, fragile}, all in one length unit.'}, 'rules': {'type': 'object', 'default': {}, 'description': 'optional {min_support: 0-1, default_rotation: any|upright|fixed}.', 'additionalProperties': True}, 'containers': {'type': 'array', 'items': {'type': 'object', 'additionalProperties': True}, 'description': 'list of {id, l, w, h, max_weight, qty}; used in the order given.'}}, 'additionalProperties': False}
Output schema
{'type': 'object', 'additionalProperties': True}
pack_bins_large
Pack Bins Large
Same packer as pack_bins for up to 300 item units and 200 containers. PREMIUM (license).
Typical input {"items": [{"id": "SKU1", "l": 40, "w": 30, "h": 20,
"weight": 5, "qty": 120}, ...], "containers": [{"id": "euro-pallet",
"l": 120, "w": 80, "h": 180, "max_weight": 800, "qty": 10}]} returns
the same shape as pack_bins: containers with placements, fill
percentages, weights and any unplaced units. Use for order
consolidation and load planning. Not proven optimal (first-fit
decreasing on extreme points, reported as such). Errors: on invalid, missing, or malformed input this tool never raises a protocol error — it returns {"error": "<what is wrong and how to fix it>"}. Every call is read-only and idempotent, so after correcting the input it is always safe to retry.
Read only
Idempotent
Input schema
{'type': 'object', 'required': ['items', 'containers'], 'properties': {'items': {'type': 'array', 'items': {'type': 'object', 'additionalProperties': True}, 'description': 'list of {id, l, w, h, weight, qty, rotation, fragile}.'}, 'rules': {'type': 'object', 'default': {}, 'description': 'optional {min_support: 0-1, default_rotation: any|upright|fixed}.', 'additionalProperties': True}, 'containers': {'type': 'array', 'items': {'type': 'object', 'additionalProperties': True}, 'description': 'list of {id, l, w, h, max_weight, qty}.'}}, 'additionalProperties': False}
Output schema
{'type': 'object', 'additionalProperties': True}
roster_shifts
Roster Shifts
Assign staff to shifts under availability, skills, hour caps and rest gaps. PREMIUM (license).
Typical input {"staff": [{"id": "ana", "skills": ["till"],
"max_hours": 40, "unavailable": ["sat-am"]}, ...], "shifts": [{"id":
"sat-am", "start": "2026-09-12T08:00", "end": "2026-09-12T14:00",
"required": 2, "skill": "till"}, ...], "rules": {"min_rest_hours": 11,
"max_consecutive_days": 6}} returns {"assignments": [{"shift":
"sat-am", "staff": ["ana", "ben"]}], "unfilled": [{"shift": "sun-pm",
"short": 1}], "hours": {"ana": 30.0}, "solver_status": "OPTIMAL"}. The
objective fills as many required slots as possible, then spreads hours
evenly, then honours preferences (staff.prefer / staff.avoid shift ids).
Use for weekly rotas of up to 60 staff and 150 shifts. Not a
determination of labour-law compliance: the rules are the ones you pass. Errors: on invalid, missing, or malformed input this tool never raises a protocol error — it returns {"error": "<what is wrong and how to fix it>"} (for example {"error": "staff and shifts must be non-empty lists"}). Every call is read-only and idempotent, so after correcting the input it is always safe to retry.
Read only
Idempotent
Input schema
{'type': 'object', 'required': ['staff', 'shifts'], 'properties': {'rules': {'type': 'object', 'default': {}, 'description': '{min_rest_hours (default 0), max_consecutive_days (default 7), max_shifts_per_day (default 1)}.', 'additionalProperties': True}, 'staff': {'type': 'array', 'items': {'type': 'object', 'additionalProperties': True}, 'description': '{id, skills[], max_hours, min_hours, unavailable[], prefer[], avoid[], max_shifts}.'}, 'shifts': {'type': 'array', 'items': {'type': 'object', 'additionalProperties': True}, 'description': '{id, start, end (ISO 8601 local), required, skill, weight}.'}, 'time_limit_s': {'type': 'number', 'default': 10.0, 'maximum': 60.0, 'minimum': 0, 'description': 'solver time budget in seconds (default 10, max 60).'}}, 'additionalProperties': False}
Output schema
{'type': 'object', 'additionalProperties': True}
route_plan
Route Plan
Order up to 12 stops into the shortest single-vehicle route on your distance matrix. FREE.
Typical input {"stops": [{"id": "depot"}, {"id": "A"}, {"id": "B"}],
"matrix": [[0, 5, 9], [5, 0, 4], [9, 4, 0]]} returns {"routes":
[{"vehicle": 0, "stops": [...], "distance": 18.0}], "total_distance":
18.0, "solver_status": "FEASIBLE", "note": "..."}. The matrix is in
your units (km, minutes, cost) and must be square with the depot at
index 0 unless depot says otherwise; optional demand per stop with
vehicle_capacity turns it into a capacity check. Use for one driver's
day or a courier's loop. Not for several vehicles or time windows: use
route_plan_fleet. Not a map service: bring your own distances or call
distance_matrix_haversine for straight-line values. Errors: on invalid, missing, or malformed input this tool never raises a protocol error — it returns {"error": "<what is wrong and how to fix it>"} (for example {"error": "stops must be a list of stop objects, depot first"}). Every call is read-only and idempotent, so after correcting the input it is always safe to retry.
Read only
Idempotent
Input schema
{'type': 'object', 'required': ['stops', 'matrix'], 'properties': {'depot': {'type': 'integer', 'default': 0, 'description': 'index of the depot in stops (default 0).'}, 'stops': {'type': 'array', 'items': {'type': 'object', 'additionalProperties': True}, 'description': 'list of stop objects, depot first: id, optional demand.'}, 'matrix': {'type': 'array', 'items': {'type': 'array', 'items': {'type': 'number'}}, 'description': 'square distance (or time) matrix, row i column j = cost from stop i to stop j.'}, 'time_limit_s': {'type': 'number', 'default': 3.0, 'maximum': 15.0, 'minimum': 0, 'description': 'solver time budget in seconds (default 3, max 15).'}, 'vehicle_capacity': {'type': 'number', 'default': 0.0, 'description': 'optional capacity in the units of demand (0 = unlimited).'}}, 'additionalProperties': False}
Output schema
{'type': 'object', 'additionalProperties': True}
route_plan_fleet
Route Plan Fleet
Capacitated, time-windowed routing for a fleet over up to 200 stops. PREMIUM (license).
Typical input {"stops": [{"id": "depot", "window": [480, 1080]},
{"id": "A", "demand": 3, "window": [540, 720], "service_min": 10}, ...],
"matrix": [[...]], "vehicles": [{"id": "van1", "capacity": 10},
{"id": "van2", "capacity": 8, "max_distance": 120}]} returns {"routes":
[{"vehicle": "van1", "stops": [{"id": "A", "arrive_min": 545, ...}],
"distance": 42.5, "load": 9}], "unserved": [], "solver_status":
"FEASIBLE"}. Windows and service times are minutes from the start of
the day; travel time comes from time_matrix (minutes) or, if absent, the
distance matrix read as minutes. Set drop_penalty to allow stops to be
left unserved at that cost instead of returning INFEASIBLE. Use for
daily dispatch. Not a map service; bring your own matrices. Errors: on invalid, missing, or malformed input this tool never raises a protocol error — it returns {"error": "<what is wrong and how to fix it>"} (for example {"error": "stops must be a list of stop objects, depot first"}). Every call is read-only and idempotent, so after correcting the input it is always safe to retry.
Read only
Idempotent
Input schema
{'type': 'object', 'required': ['stops', 'matrix', 'vehicles'], 'properties': {'depot': {'type': 'integer', 'default': 0, 'description': 'index of the depot in stops (default 0).'}, 'stops': {'type': 'array', 'items': {'type': 'object', 'additionalProperties': True}, 'description': 'depot first; each: id, demand, window [earliest_min, latest_min], service_min.'}, 'matrix': {'type': 'array', 'items': {'type': 'array', 'items': {'type': 'number'}}, 'description': 'square distance matrix in your units.'}, 'vehicles': {'type': 'array', 'items': {'type': 'object', 'additionalProperties': True}, 'description': 'list of {id, capacity, max_distance}; capacity in the units of demand.'}, 'time_matrix': {'type': 'array', 'items': {'type': 'array', 'items': {'type': 'number'}}, 'default': [], 'description': 'optional square travel-time matrix in minutes (defaults to matrix).'}, 'drop_penalty': {'type': 'number', 'default': 0.0, 'description': 'cost of leaving a stop unserved (0 = every stop must be served).'}, 'time_limit_s': {'type': 'number', 'default': 10.0, 'maximum': 60.0, 'minimum': 0, 'description': 'solver time budget in seconds (default 10, max 60).'}}, 'additionalProperties': False}
Output schema
{'type': 'object', 'additionalProperties': True}
validate_problem
Validate Problem
Check a problem's shape and obvious feasibility before spending solver time. FREE.
Typical input {"type": "route", "problem": {"stops": [...], "matrix":
[[...]], "vehicles": [...]}} returns {"ok": false, "issues": ["total
demand 34 exceeds total capacity 30"], "size": {"stops": 14,
"vehicles": 2}, "tier_hint": "route_plan_fleet (licence) - more than 12
stops"}. Types: route, pack, cut1d, cut2d, roster, knapsack; the problem
object uses the same fields as the matching tool. Use first when an
agent has assembled the problem from other data. Not a solve: it never
calls the solver. Errors: on invalid, missing, or malformed input this tool never raises a protocol error — it returns {"error": "<what is wrong and how to fix it>"} (for example {"error": "type must be one of <value>"}). Every call is read-only and idempotent, so after correcting the input it is always safe to retry.
Read only
Idempotent
Input schema
{'type': 'object', 'required': ['type', 'problem'], 'properties': {'type': {'type': 'string', 'description': 'route, pack, cut1d, cut2d, roster or knapsack.'}, 'problem': {'type': 'object', 'description': 'the same object you would pass to the tool (stops/matrix/vehicles, items/containers, ...).', 'additionalProperties': True}}, 'additionalProperties': False}
Output schema
{'type': 'object', 'additionalProperties': True}
History
Recent tool changes
Added
explain_solution
Sept. 17, 2026, 12:36 p.m.
Added
validate_problem
Sept. 17, 2026, 12:36 p.m.
Added
knapsack_select
Sept. 17, 2026, 12:36 p.m.
Added
roster_shifts
Sept. 17, 2026, 12:36 p.m.
Added
cutting_stock_2d
Sept. 17, 2026, 12:36 p.m.
Added
cutting_stock_1d
Sept. 17, 2026, 12:36 p.m.
Added
pack_bins_large
Sept. 17, 2026, 12:36 p.m.
Added
pack_bins
Sept. 17, 2026, 12:36 p.m.
Added
distance_matrix_haversine
Sept. 17, 2026, 12:36 p.m.
Added
route_plan_fleet
Sept. 17, 2026, 12:36 p.m.
Added
route_plan
Sept. 17, 2026, 12:36 p.m.
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