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.
輸入參數depotstops必填matrix必填time_limit_svehicle_capacity
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.
輸入參數depotstops必填matrix必填vehicles必填time_matrixdrop_penaltytime_limit_s
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.
輸入參數unitpoints必填
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.
輸入參數items必填rulescontainers必填
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.
輸入參數items必填rulescontainers必填
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.
輸入參數kerfparts必填stock必填time_limit_s
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.
輸入參數kerfgrainparts必填sheets必填
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.
輸入參數rulesstaff必填shifts必填time_limit_s
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.
輸入參數items必填limits必填time_limit_s
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.
輸入參數type必填problem必填
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.
輸入參數solution必填