| | 1 | = Откривање на аномалии: нарачки со невообичаено високи вредности = |
| | 2 | |
| | 3 | == Опис == |
| | 4 | |
| | 5 | Извештајот ги прикажува нарачките чија вредност е повеќе од 2 стандардни отстапувања над просекот за тој келнер. Користи статистички функции (STDDEV) и корелационен потпрашалник за споредба со глобалниот просек. |
| | 6 | |
| | 7 | == SQL решение == |
| | 8 | |
| | 9 | {{{ |
| | 10 | CREATE OR REPLACE FUNCTION project.get_anomalous_orders() |
| | 11 | RETURNS TABLE ( |
| | 12 | order_id INT, |
| | 13 | waiter_name TEXT, |
| | 14 | order_total NUMERIC, |
| | 15 | waiter_avg NUMERIC, |
| | 16 | waiter_stddev NUMERIC, |
| | 17 | z_score NUMERIC, |
| | 18 | deviation_level TEXT |
| | 19 | ) |
| | 20 | LANGUAGE sql |
| | 21 | AS $$ |
| | 22 | WITH order_totals AS ( |
| | 23 | SELECT |
| | 24 | o.order_id AS oid, |
| | 25 | o.user_id AS uid, |
| | 26 | SUM(oi.quantity * oi.unit_price)::numeric AS total |
| | 27 | FROM project.orders o |
| | 28 | JOIN project.order_item oi ON oi.order_id = o.order_id |
| | 29 | WHERE o.status = 'ПЛАТЕНА' |
| | 30 | GROUP BY o.order_id, o.user_id |
| | 31 | ), |
| | 32 | waiter_stats AS ( |
| | 33 | SELECT |
| | 34 | ot.uid, |
| | 35 | AVG(ot.total)::numeric AS avg_total, |
| | 36 | STDDEV(ot.total)::numeric AS stddev_total, |
| | 37 | COUNT(*) AS num_orders |
| | 38 | FROM order_totals ot |
| | 39 | GROUP BY ot.uid |
| | 40 | ) |
| | 41 | SELECT |
| | 42 | ot.oid, |
| | 43 | (u.first_name || ' ' || u.last_name)::TEXT, |
| | 44 | ot.total, |
| | 45 | ROUND(ws.avg_total, 2), |
| | 46 | ROUND(ws.stddev_total, 2), |
| | 47 | ROUND(((ot.total - ws.avg_total) / NULLIF(ws.stddev_total, 0))::numeric, 2), |
| | 48 | CASE |
| | 49 | WHEN (ot.total - ws.avg_total) / NULLIF(ws.stddev_total, 0) > 3 |
| | 50 | THEN 'ЕКСТРЕМНО ВИСОКА' |
| | 51 | WHEN (ot.total - ws.avg_total) / NULLIF(ws.stddev_total, 0) > 2 |
| | 52 | THEN 'ВИСОКА' |
| | 53 | ELSE 'НОРМАЛНА' |
| | 54 | END::TEXT |
| | 55 | FROM order_totals ot |
| | 56 | JOIN waiter_stats ws ON ws.uid = ot.uid |
| | 57 | JOIN project.app_user u ON u.user_id = ot.uid |
| | 58 | WHERE ws.num_orders >= 1 |
| | 59 | AND (ot.total - ws.avg_total) / NULLIF(ws.stddev_total, 0) > 1 |
| | 60 | ORDER BY 6 DESC; |
| | 61 | $$; |
| | 62 | }}} |
| | 63 | |
| | 64 | == Релациона алгебра == |
| | 65 | |
| | 66 | {{{ |
| | 67 | O(order_id, user_id, status) |
| | 68 | OI(order_id, quantity, unit_price) |
| | 69 | U(user_id, first_name, last_name) |
| | 70 | |
| | 71 | J1 ← O ⨝ O.order_id = OI.order_id OI |
| | 72 | F1 ← σ status='ПЛАТЕНА' (J1) |
| | 73 | G1 ← γ order_id, user_id; SUM(quantity * unit_price) → order_total (F1) |
| | 74 | |
| | 75 | G2 ← γ user_id; AVG(order_total) → avg_total, |
| | 76 | STDDEV(order_total) → stddev_total, |
| | 77 | COUNT(*) → num_orders (G1) |
| | 78 | |
| | 79 | J2 ← G1 ⨝ G1.user_id = G2.user_id G2 |
| | 80 | J3 ← J2 ⨝ U |
| | 81 | F2 ← σ num_orders ≥ 1 ∧ (order_total - avg_total)/stddev_total > 1 (J3) |
| | 82 | |
| | 83 | R ← π order_id, waiter_name, order_total, waiter_avg, |
| | 84 | waiter_stddev, z_score, deviation_level (F2) |
| | 85 | |
| | 86 | R_final ← τ z_score DESC (R) |
| | 87 | }}} |