Zweite Normalform - volle funktionale Abhängigkeit der Attribute vom Primärschlüssel
Ein System von Tabellen ist dann in der
zweiten Normalform (
NF2), wenn die Tabellen
in der ersten Normalform sind und wenn zusätzlich alle Nichtschlüssel-Attribute voll funktional vom Primärschlüssel
abhängig sind. Umgekehrt formuliert heißt dies: Eine Tabelle ist noch nicht in zweiter Normalform, wenn sie
einen zusammengesetzten Primärschlüssel hat und ein Nichtschlüssel-Attribut nicht vom ganzen Primärschlüssel,
sondern nur von einem Teilschlüssel abhängt. In diesem Fall wird das Nichtschlüssel-Attribut mit dem Primärschlüssel-Teil,
von dem es funktional abhängig ist, in eine eigene Tabelle herausgezogen.
Am einem Ausschnitt von Beispiel 1 deutlich gemacht, die notwendige Zerlegung von V_NAME und V_ANSCH wird aktuell
ignoriert:
U_NR | A_NAME | A_PREIS | A_STUECK | DATUM | V_NAME | V_ANSCH |
---|
1 | Oberhemd | 39,80 | 40 | 24.06.1999 | Meyer, Emil | Wendeweg 10, 2800 Bremen |
2 | Mantel | 360,00 | 10 | 24.06.1999 | Meier, Franz | Kohlstr. 1, 2800 Bremen |
3 | Oberhemd | 44,20 | 70 | 24.06.1999 | Meyer, Emil | Wendeweg 10, 2800 Bremen |
4 | Oberhemd | 44,20 | 20 | 25.06.1999 | Schulze, Fritz | Gemüseweg 3, 2800 Bremen |
Offenkundig ist es wesentlich, welcher Vertreter diesen Umsatz erbracht hat. Also gehört bei einer Umsatz-Zeile
die Spalte V_NAME zum Schlüssel mit hinzu. Die Vertreteranschrift V_ANSCH hat jedoch nichts mit dem aktuellen Umsatz zu tun, ist also
ein Nicht-Schlüssel-Attribut. V_ANSCH hängt nur von V_NAME, nicht vom einzelnen Umsatz, dessen Datum oder dem
beteiligten Artikel ab - im Gegensatz zu A_STUECK, das offenbar für die einzelne Umsatzzeile charakteristisch ist. Also können
V_NAME und V_ANSCH in eine kleine Tabelle herausgezogen und um einen Primärschlüssel ergänzt werden, der in eine zusätzliche Spalte
hinzugefügt wird.
Wurden die beteiligten 'Handlungspartner' oder die 'agierenden Instanzen' korrekt identifiziert und in eigene Tabellen
ausgelagert, so scheint die zweite Normalform trivial zu sein. Denn sie ist automatisch erfüllt, wenn die Attribute, also die Spalten einer Tabelle,
'sinnvoll' zum Primärschlüssel gehören und der Primärschlüssel aus einer Spalte besteht, es also keinen zusammengesetzten
Primärschlüssel gibt.
Um ein interessantes Beispiel für die Nicht-Erfüllung der zweiten Normalform zu finden, muß nach einem
Beispiel gesucht werden, bei dem ein Attribut scheinbar von einem zusammengesetzten Schlüssel abhängt, eine
tiefere Analyse jedoch lehrt, daß das Attribut in Wirklichkeit nur von einem Teilschlüssel abhängt.
Betrachtet man die obige Tabelle, so liegt es nahe, die Artikel mit ihren Preisen in eine eigene Tabelle herauszuziehen
und durch eine Spalte mit den Artikelnummern zu ersetzen. Wird dasselbe mit den Vertreter-Informationen durchgeführt,
so ergibt sich die bereits bekannte Tabelle
UMSATZ:
UMSATZ_NR | V_NR | A_NR | A_STUECK | DATUM |
---|
1 | 8413 | 12 | 40 | 24.06.1999 |
2 | 5016 | 22 | 10 | 24.06.1999 |
3 | 8413 | 11 | 70 | 24.06.1999 |
4 | 1215 | 11 | 20 | 25.06.1999 |
5 | 5016 | 22 | 35 | 25.06.1999 |
6 | 8413 | 13 | 35 | 24.06.1999 |
7 | 1215 | 13 | 5 | 24.06.1999 |
8 | 1215 | 12 | 10 | 24.06.1999 |
9 | 8413 | 11 | 20 | 25.06.1999 |
Es gibt also Artikel mit festen Preisen, ein eindeutiger Schlüssel in der Tabelle UMSATZ ist eine Kombination
aus V_NR, A_NR, A_STUECK und DATUM. Da sich eine solche Aufteilung gut eignet, um Erfahrungen mit dem Sql-Select-Befehl
zu sammeln, wurde diese Normalisierung den befehlsbezogenen Beispielen zugrundegelegt.
Ein Problem dieser zunächst plausiblen Aufteilung wird deutlich, falls sich der Preis eines Artikels ändert. Wird
dies direkt in der Tabelle ARTIKEL durchgeführt, so werden auch bereits abgeschlossene Verkäufe geändert, dies ist
offenkundig falsch. Um dieses Problem zu vermeiden, könnte man den Preis in der UMSATZ-Tabelle belassen, also
die folgende Tabelle verwenden:
UMSATZ_NR | V_NR | A_NR | A_STUECK | A_PREIS | DATUM |
---|
1 | 8413 | 12 | 40 | 39.80 | 24.06.1999 |
2 | 5016 | 22 | 10 | 360.00 | 24.06.1999 |
Damit ist A_PREIS ein Nichtschlüssel-Attribut in der Tabelle UMSATZ. Würden nach diesem Muster viele Einzelumsätze
aufgezeichnet werden, so sind zwei Alternativen denkbar.
- Der Preis eines Artikels ändert sich jede Minute. Man denke an den Preis eines Artikels, der von
Währungsschwankungen abhängt und dessen Preis sich aus dem aktuellen, minutengenauen Währungsverhältnis ergibt. In diesem
Fall ist der Preis ein unabhängiges Nicht-Schlüssel-Attribut von Datum und Uhrzeit, ein Artikel kann
an einem Tag zu verschiedenen End-Preisen verkauft werden. A_PREIS wäre ein korrektes Attribut in der Tabelle
UMSATZ.
- Der Preis eines Artikels ändert sich höchstens einmal pro Tag oder höchstens zu einem Termin in der Woche
bzw. zu Monatsbeginn. In diesem Fall ist der Preis nicht von der Uhrzeit, sondern vom Datum abhängig,
das Datum ist ein Schlüsselattribut. Derselbe Artikel wird zwar nicht an allen, jedoch an vielen aufeinanderfolgenden
Tagen zu demselben Preis verkauft. Damit ist der Preis als Nicht-Schlüssel-Attribut nicht abhängig vom
gesamten, zusammengesetzten Schlüssel, sondern bloß abhängig von der Kombination aus Datum und Artikel-Nummer, unabhängig
dagegen vom Vertreter. Man würde eine neue Tabelle erstellen, die wie folgt aussieht:
A_NR | DATUM | A_PREIS |
---|
11 | 01.06.1999 | 44.20 |
12 | 01.06.1999 | 39.80 |
11 | 25.06.1999 | 29.90 |
11 | 27.06.1999 | 44.20 |
Hier sind A_NR und DATUM die beiden Schlüsselspalten, A_PREIS ist Nicht-Schlüsselattribut. Der Artikel
mit der Nummer 11 wurde am 25.06.1999 für zwei Tage mit einem reduzierten Preis angeboten. Die Tabelle UMSATZ
behält die Spalten A_NR sowie DATUM, die Spalte A_PREIS wird entfernt.
Man sieht an diesem Beispiel, daß die Frage nach abhängigen Attributen nicht ausschließlich unter mathematischen
Gesichtspunkten oder anhand vorhandener Daten entschieden werden kann. Bei Preisen, die über lange Zeiträume stabil
sind, könnten die Preise auch in der Artikel-Tabelle belassen werden und bei Preisänderungen ein neuer Artikel eingeführt
werden. Ebenso könnten die aktuellen Werte von A_NAME (Hose, Mantel, Oberhemd) in eine schmale, zwei Spalten
(Id und Begriff) umfassende Tabelle herausgezogen werden und als Kategorie-Begriffe verwendet werden. Ein Artikel
ist dann nur noch durch eine Nummer gekennzeichnet, ihm wird eine Kategorie und ein Preis in ARTIKEL zugeordnet,
bei einer Preisänderung wird ein neuer Artikel definiert. Werden dagegen Lagerbestände mitberücksichtigt, so darf diese
Technik des 'neuen Artikels' bei einer Preisänderung offenkundig nicht verwendet werden, da das einzelne Objekt nicht
verschwunden ist, sondern nur einen anderen Preis erhält.
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