From a0691e191997ab5e020cf06b97024361db215c72 Mon Sep 17 00:00:00 2001 From: dschlueter Date: Tue, 8 Sep 2026 11:41:07 +0200 Subject: [PATCH] Phase 7.2: Wasserfalldiagramm - wofuer der Erwartungswert-Plan bezahlt Setzt den umsetzbaren Teil von Paket 3 aus Verbesserungen_03.md um (Vorher-Nachher-Wasserfall, Business Impact). Neuer Generator bilder_04/erzeuge_wirkung.py; das Supply-Chain-Kapitel bekommt damit sein erstes Diagramm ueberhaupt. Der Anlass: Die Tabelle nannte nur die Summen - 874.870 EUR gegen 351.356 EUR, 149 % mehr. Wofuer genau, stand nirgends. Der Generator rechnet die Instanz erneut, wie es die Konvention verlangt. Die Probe fiel gut aus: Der unabhaengige Nachbau reproduziert beide abgedruckten Summen exakt, dazu 178,7 MWh Fehlmenge und 28/40 Szenarien mit Abwurf. Kein Auseinanderlaufen - der erste Generator dieser Reihe, der nichts findet. Was die Zerlegung zeigt und die Tabelle nicht: Die Anfahrkosten sind in beiden Plaenen gleich (58.000 EUR). Der Erwartungswert-Plan spart also nicht dort, wo man es vermuten wuerde. Er spart 12.725 EUR Brennstoff und bezahlt dafuer 536.239 EUR Lastabwurf - das 42-fache. "149 % mehr" ist eine Zahl, ueber die man streiten kann; "wir sparen 12.725 EUR und riskieren 536.239 EUR" ist eine, ueber die man entscheidet. Die Trennung von Brennstoff- und Abwurfkosten ist der einzige Zusatz gegenueber bewerte() im Buchprogramm; dort wird sie nicht gebraucht. Ein eigener Fehler unterwegs: Ein .replace(",", ".") fuer deutsche Tausenderpunkte lag auf dem ganzen Titelsatz und machte aus "Brennstoff, Preis" ein "Brennstoff. Preis". Jetzt gibt es euro(), das nur auf Zahlen angewandt wird. SVG byteidentisch ueber zwei Laeufe. Diagramme jetzt 33, davon 19 mit Generator (16 Skripte). PDF unveraendert 746 Seiten. Co-Authored-By: Claude Opus 5 --- ...rations_Research_mit_Python_Version_04.pdf | Bin 3695175 -> 3773453 bytes .../bilder_04/kap_supplychain_wirkung.png | Bin 0 -> 103071 bytes .../bilder_04/kap_supplychain_wirkung.svg | 2093 +++++++++++++++++ OR_HTML_04/gesamtdokument.html | 10 + OR_HTML_04/stichwortverzeichnis.html | 2 +- OR_HTML_04/supplychain.html | 10 + Operations_Research_mit_Python_Version_04.md | 10 + Operations_Research_mit_Python_Version_04.pdf | Bin 3695175 -> 3773453 bytes .../36_Supply_Chain_Energie.md | 20 + PROGRESS.md | 42 +- bilder_04/erzeuge_wirkung.py | 253 ++ bilder_04/kap_supplychain_wirkung.png | Bin 0 -> 103071 bytes bilder_04/kap_supplychain_wirkung.svg | 2093 +++++++++++++++++ 13 files changed, 4530 insertions(+), 3 deletions(-) create mode 100644 OR_HTML_04/bilder_04/kap_supplychain_wirkung.png create mode 100644 OR_HTML_04/bilder_04/kap_supplychain_wirkung.svg create mode 100644 bilder_04/erzeuge_wirkung.py create mode 100644 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n{BwPI2IBF**ZGY&8MP?o{S?}odiRR%K70M&Lg~lR literal 0 HcmV?d00001 diff --git a/OR_HTML_04/bilder_04/kap_supplychain_wirkung.svg b/OR_HTML_04/bilder_04/kap_supplychain_wirkung.svg new file mode 100644 index 0000000..628d95b --- /dev/null +++ b/OR_HTML_04/bilder_04/kap_supplychain_wirkung.svg @@ -0,0 +1,2093 @@ + + + + + + + + image/svg+xml + + + Matplotlib v3.10.8, https://matplotlib.org/ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + diff --git a/OR_HTML_04/gesamtdokument.html b/OR_HTML_04/gesamtdokument.html index b9bfcb8..c3efb2e 100644 --- a/OR_HTML_04/gesamtdokument.html +++ b/OR_HTML_04/gesamtdokument.html @@ -21467,6 +21467,16 @@ Was Versorgungssicherheit kostet

    Der Erwartungswert-Plan kostet in der Wirklichkeit 149 % mehr, und sein schlimmster Tag ist sechsmal so teuer.

    +

    Wofür genau? Die Summendifferenz von 523 514 € sagt noch nicht, wo sie entsteht. Zerlegt man sie nach Kostenarten, wird aus dem Befund eine Aussage, die man vorlegen kann:

    +
    +Abb. 17.1: Wofür der Erwartungswert-Plan 149 % mehr bezahlt + +
    +

    Drei Dinge stehen darin, die die Tabelle nicht zeigt. Die Anfahrkosten sind in beiden Plänen gleich (58 000 €) — der Erwartungswert-Plan spart also nicht dort, wo man es vermuten würde. Er spart 12 725 € Brennstoff, weil er weniger Blockstunden vorhält. Und er bezahlt dafür 536 239 € Lastabwurf: das 42-fache seiner Ersparnis.

    +

    Genau diese Gegenüberstellung ist es, die eine Investitionsentscheidung trägt. „149 % mehr” ist eine Zahl, über die man streiten kann; „wir sparen 12 725 € und riskieren dafür 536 239 €” ist eine, über die man entscheidet.

    +
    +

    📌 Zum Diagramm Es wird von bilder_04/erzeuge_wirkung.py erzeugt, das die Instanz aus Kraftwerkseinsatz.py erneut rechnet statt Zahlen zu übernehmen — und dabei die beiden abgedruckten Summen exakt reproduziert. Die Trennung von Brennstoff- und Abwurfkosten ist der einzige Zusatz; das Buchprogramm braucht sie nicht.

    +

    Der Unterschied zwischen den beiden Plänen ist dabei erstaunlich klein:

    Erwartungswert   111111122222222211111111  (33 Blockstunden)
     zweistufig       111111222222222222222111  (39 Blockstunden)
    diff --git a/OR_HTML_04/stichwortverzeichnis.html b/OR_HTML_04/stichwortverzeichnis.html index f9d6555..3b1aae9 100644 --- a/OR_HTML_04/stichwortverzeichnis.html +++ b/OR_HTML_04/stichwortverzeichnis.html @@ -99,7 +99,7 @@
    -

    Stichwortverzeichnis

    219 Fachbegriffe. Ein Klick führt zum jeweiligen Kapitel/Abschnitt (statt einer im Web bedeutungslosen Seitenzahl wie im gedruckten Register).

    A

    Absolutbetrag (Modellierungsmuster)Anhang B: Katalog der Modellierungsmuster
    Aktivierungsschalter (Modellierungsmuster)Anhang B: Katalog der Modellierungsmuster
    AlternativoptimaAnhang E: Glossar und Literatur

    B

    Bedingte Kopplung (Konjunktion)Anhang B: Katalog der Modellierungsmuster

    C

    D

    DualitätstheorieAnhang E: Glossar und Literatur

    E

    Entweder-Oder-BedingungAnhang B: Katalog der Modellierungsmuster

    F

    Falsche Dualwerte (Fehlerbild)Anhang C: Fehlerdiagnose-Handbuch

    G

    Gestaffelte Preise (stückweise linear)Anhang B: Katalog der Modellierungsmuster
    Gini-KoeffizientProjektwerkstatt

    H

    Herfindahl-IndexProjektwerkstatt

    I

    IIS (Irreducible Infeasible Subset)Anhang C: Fehlerdiagnose-Handbuch
    Implikation (Modellierungsmuster)Anhang B: Katalog der Modellierungsmuster
    Importfehler (ortools und highspy)Anhang C: Fehlerdiagnose-Handbuch
    Instabile Lösung (Fehlerbild)Anhang C: Fehlerdiagnose-Handbuch

    J

    K

    Kanonische StandardformAnhang E: Glossar und Literatur
    Kohärentes RisikomaßAnhang E: Glossar und Literatur

    L

    Lagrange-MultiplikatorAnhang E: Glossar und Literatur
    Laufzeitexplosion (Fehlerbild)Anhang C: Fehlerdiagnose-Handbuch
    Lineare Programmierung (LP)Anhang E: Glossar und Literatur

    M

    Maximum DrawdownAnhang E: Glossar und Literatur

    N

    Nichtlineare Programmierung (NLP)Anhang E: Glossar und Literatur

    O

    P

    Positiv (semi-)definitAnhang E: Glossar und Literatur

    Q

    R

    S

    T

    TransaktionskostenAnhang E: Glossar und Literatur

    U

    Umrüstkosten (Modellierungsmuster)Anhang B: Katalog der Modellierungsmuster
    Unbounded (Fehlerbild)Anhang C: Fehlerdiagnose-Handbuch
    UnsicherheitsmengeAnhang E: Glossar und Literatur
    Unsinniges Ergebnis (Fehlerbild)Anhang C: Fehlerdiagnose-Handbuch

    V

    Vehicle Routing Problem (VRP)Anhang E: Glossar und Literatur
    Verdächtig guter Backtest (Fehlerbild)Anhang C: Fehlerdiagnose-Handbuch
    Vertauschte Spalten (Fehlerbild)Anhang C: Fehlerdiagnose-Handbuch

    W

    Weiche Grenze mit StrafkostenAnhang B: Katalog der Modellierungsmuster
    Widersprüchliche Solver (Fehlerbild)Anhang C: Fehlerdiagnose-Handbuch
    Wurzel-Zeit-RegelAnhang E: Glossar und Literatur

    Z

    Zuordnungsproblem (1:1)Anhang B: Katalog der Modellierungsmuster
    Zwei-Phasen-Simplex-MethodeAnhang A: Lösungen zu allen Übungsaufgaben
    +

    Stichwortverzeichnis

    219 Fachbegriffe. Ein Klick führt zum jeweiligen Kapitel/Abschnitt (statt einer im Web bedeutungslosen Seitenzahl wie im gedruckten Register).

    A

    Absolutbetrag (Modellierungsmuster)Anhang B: Katalog der Modellierungsmuster
    Aktivierungsschalter (Modellierungsmuster)Anhang B: Katalog der Modellierungsmuster
    AlternativoptimaAnhang E: Glossar und Literatur

    B

    Bedingte Kopplung (Konjunktion)Anhang B: Katalog der Modellierungsmuster

    C

    D

    DualitätstheorieAnhang E: Glossar und Literatur

    E

    Entweder-Oder-BedingungAnhang B: Katalog der Modellierungsmuster

    F

    Falsche Dualwerte (Fehlerbild)Anhang C: Fehlerdiagnose-Handbuch

    G

    Gestaffelte Preise (stückweise linear)Anhang B: Katalog der Modellierungsmuster
    Gini-KoeffizientProjektwerkstatt

    H

    Herfindahl-IndexProjektwerkstatt

    I

    IIS (Irreducible Infeasible Subset)Anhang C: Fehlerdiagnose-Handbuch
    Implikation (Modellierungsmuster)Anhang B: Katalog der Modellierungsmuster
    Importfehler (ortools und highspy)Anhang C: Fehlerdiagnose-Handbuch
    Instabile Lösung (Fehlerbild)Anhang C: Fehlerdiagnose-Handbuch

    J

    K

    Kanonische StandardformAnhang E: Glossar und Literatur
    Kohärentes RisikomaßAnhang E: Glossar und Literatur

    L

    Lagrange-MultiplikatorAnhang E: Glossar und Literatur
    Laufzeitexplosion (Fehlerbild)Anhang C: Fehlerdiagnose-Handbuch
    Lineare Programmierung (LP)Anhang E: Glossar und Literatur

    M

    Maximum DrawdownAnhang E: Glossar und Literatur

    N

    Nichtlineare Programmierung (NLP)Anhang E: Glossar und Literatur

    O

    P

    Positiv (semi-)definitAnhang E: Glossar und Literatur

    Q

    R

    S

    T

    TransaktionskostenAnhang E: Glossar und Literatur

    U

    Umrüstkosten (Modellierungsmuster)Anhang B: Katalog der Modellierungsmuster
    Unbounded (Fehlerbild)Anhang C: Fehlerdiagnose-Handbuch
    UnsicherheitsmengeAnhang E: Glossar und Literatur
    Unsinniges Ergebnis (Fehlerbild)Anhang C: Fehlerdiagnose-Handbuch

    V

    Vehicle Routing Problem (VRP)Anhang E: Glossar und Literatur
    Verdächtig guter Backtest (Fehlerbild)Anhang C: Fehlerdiagnose-Handbuch
    Vertauschte Spalten (Fehlerbild)Anhang C: Fehlerdiagnose-Handbuch

    W

    Weiche Grenze mit StrafkostenAnhang B: Katalog der Modellierungsmuster
    Widersprüchliche Solver (Fehlerbild)Anhang C: Fehlerdiagnose-Handbuch
    Wurzel-Zeit-RegelAnhang E: Glossar und Literatur

    Z

    Zuordnungsproblem (1:1)Anhang B: Katalog der Modellierungsmuster
    Zwei-Phasen-Simplex-MethodeAnhang A: Lösungen zu allen Übungsaufgaben
    diff --git a/OR_HTML_04/supplychain.html b/OR_HTML_04/supplychain.html index 8e740e3..7886367 100644 --- a/OR_HTML_04/supplychain.html +++ b/OR_HTML_04/supplychain.html @@ -772,6 +772,16 @@ Was Versorgungssicherheit kostet

    Der Erwartungswert-Plan kostet in der Wirklichkeit 149 % mehr, und sein schlimmster Tag ist sechsmal so teuer.

    +

    Wofür genau? Die Summendifferenz von 523 514 € sagt noch nicht, wo sie entsteht. Zerlegt man sie nach Kostenarten, wird aus dem Befund eine Aussage, die man vorlegen kann:

    +
    +Abb. 17.1: Wofür der Erwartungswert-Plan 149 % mehr bezahlt + +
    +

    Drei Dinge stehen darin, die die Tabelle nicht zeigt. Die Anfahrkosten sind in beiden Plänen gleich (58 000 €) — der Erwartungswert-Plan spart also nicht dort, wo man es vermuten würde. Er spart 12 725 € Brennstoff, weil er weniger Blockstunden vorhält. Und er bezahlt dafür 536 239 € Lastabwurf: das 42-fache seiner Ersparnis.

    +

    Genau diese Gegenüberstellung ist es, die eine Investitionsentscheidung trägt. „149 % mehr” ist eine Zahl, über die man streiten kann; „wir sparen 12 725 € und riskieren dafür 536 239 €” ist eine, über die man entscheidet.

    +
    +

    📌 Zum Diagramm Es wird von bilder_04/erzeuge_wirkung.py erzeugt, das die Instanz aus Kraftwerkseinsatz.py erneut rechnet statt Zahlen zu übernehmen — und dabei die beiden abgedruckten Summen exakt reproduziert. Die Trennung von Brennstoff- und Abwurfkosten ist der einzige Zusatz; das Buchprogramm braucht sie nicht.

    +

    Der Unterschied zwischen den beiden Plänen ist dabei erstaunlich klein:

    Erwartungswert   111111122222222211111111  (33 Blockstunden)
     zweistufig       111111222222222222222111  (39 Blockstunden)
    diff --git a/Operations_Research_mit_Python_Version_04.md b/Operations_Research_mit_Python_Version_04.md index 15ff79c..c1e17a9 100644 --- a/Operations_Research_mit_Python_Version_04.md +++ b/Operations_Research_mit_Python_Version_04.md @@ -17515,6 +17515,16 @@ Was Versorgungssicherheit kostet Der Erwartungswert-Plan kostet in der Wirklichkeit **149 % mehr**, und sein schlimmster Tag ist sechsmal so teuer. +**Wofür genau?** Die Summendifferenz von 523 514 € sagt noch nicht, wo sie entsteht. Zerlegt man sie nach Kostenarten, wird aus dem Befund eine Aussage, die man vorlegen kann: + +![Abb. 17.1: Wofür der Erwartungswert-Plan 149 % mehr bezahlt](bilder_04/kap_supplychain_wirkung.svg) + +Drei Dinge stehen darin, die die Tabelle nicht zeigt. Die **Anfahrkosten sind in beiden Plänen gleich** (58 000 €) — der Erwartungswert-Plan spart also nicht dort, wo man es vermuten würde. Er spart **12 725 € Brennstoff**, weil er weniger Blockstunden vorhält. Und er bezahlt dafür **536 239 € Lastabwurf**: das **42-fache** seiner Ersparnis. + +Genau diese Gegenüberstellung ist es, die eine Investitionsentscheidung trägt. „149 % mehr" ist eine Zahl, über die man streiten kann; „wir sparen 12 725 € und riskieren dafür 536 239 €" ist eine, über die man entscheidet. + +> **📌 Zum Diagramm** Es wird von `bilder_04/erzeuge_wirkung.py` erzeugt, das die Instanz aus `Kraftwerkseinsatz.py` **erneut rechnet** statt Zahlen zu übernehmen — und dabei die beiden abgedruckten Summen exakt reproduziert. Die Trennung von Brennstoff- und Abwurfkosten ist der einzige Zusatz; das Buchprogramm braucht sie nicht. + Der Unterschied zwischen den beiden Plänen ist dabei erstaunlich klein: ``` diff --git a/Operations_Research_mit_Python_Version_04.pdf b/Operations_Research_mit_Python_Version_04.pdf index bd41dc835524091f475a672ebdd926bd503cf86d..881a63ca48f37bd1d3e8c6fd5614b1a84a7d91f9 100644 GIT binary patch delta 374851 zcmZ^~byytF)-8+$cXt8=3GNK;9xTD#-Q5R*JA}Xl7~F!pyAA|*cMl%i!Z*Kj&i6d; zeebz{ta*BORjyuX9t%7+p5SCkc6TN3wNlCbnEu< z%_42lC*XNly3t$EQ{cm`ZLYN5+1ugT!yAQnKNS^|PN)?elcux z`}#cr!?(7Fd$InUeu&IPF&eQd#YTYgtL5L9x!T(PPdIE5NWc(-qQ6h$kMWP==aelT zLDfqaV-ID3)8rv%x$gK)^|_0yw=etrCyC!zoPm>%B{NT|y24HY&NDvW`_sKu8ELYl zC@k8MY<>I~_`2H%%{N<-sxuT(l{@B>OFylB5bZ?-i0sb&BF)0onagGnm_dp=dp(iQ z1>Y&~pOL*$cJtS^d=)#0+9tfugZH6;R7KV`P^p!Y{=CUHl2fTl3`H!>JHxNvfk{xNJ+5EEipqz+E4!;7l{)V%A$h(L zk*uE553DNnly!!UaxvC3^qLGroh;SvvU8wE06T7V3Gr9SBZU%He8sJAqq1f{0Py=fvd$k#Szbq 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a/Operations_Research_mit_Python_Version_04/36_Supply_Chain_Energie.md b/Operations_Research_mit_Python_Version_04/36_Supply_Chain_Energie.md index 8b2cf2a..d07cbb4 100644 --- a/Operations_Research_mit_Python_Version_04/36_Supply_Chain_Energie.md +++ b/Operations_Research_mit_Python_Version_04/36_Supply_Chain_Energie.md @@ -595,6 +595,26 @@ Was Versorgungssicherheit kostet Der Erwartungswert-Plan kostet in der Wirklichkeit **149 % mehr**, und sein schlimmster Tag ist sechsmal so teuer. +**Wofür genau?** Die Summendifferenz von 523 514 € sagt noch nicht, wo sie entsteht. Zerlegt +man sie nach Kostenarten, wird aus dem Befund eine Aussage, die man vorlegen kann: + +![Wofür der Erwartungswert-Plan 149 % mehr bezahlt](bilder_04/kap_supplychain_wirkung.svg) + +Drei Dinge stehen darin, die die Tabelle nicht zeigt. Die **Anfahrkosten sind in beiden +Plänen gleich** (58 000 €) — der Erwartungswert-Plan spart also nicht dort, wo man es +vermuten würde. Er spart **12 725 € Brennstoff**, weil er weniger Blockstunden vorhält. Und +er bezahlt dafür **536 239 € Lastabwurf**: das **42-fache** seiner Ersparnis. + +Genau diese Gegenüberstellung ist es, die eine Investitionsentscheidung trägt. „149 % mehr" +ist eine Zahl, über die man streiten kann; „wir sparen 12 725 € und riskieren dafür 536 239 €" +ist eine, über die man entscheidet. + +> **📌 Zum Diagramm** +> Es wird von `bilder_04/erzeuge_wirkung.py` erzeugt, das die Instanz aus +> `Kraftwerkseinsatz.py` **erneut rechnet** statt Zahlen zu übernehmen — und dabei die +> beiden abgedruckten Summen exakt reproduziert. Die Trennung von Brennstoff- und +> Abwurfkosten ist der einzige Zusatz; das Buchprogramm braucht sie nicht. + Der Unterschied zwischen den beiden Plänen ist dabei erstaunlich klein: ``` diff --git a/PROGRESS.md b/PROGRESS.md index b522921..7ef4e5e 100644 --- a/PROGRESS.md +++ b/PROGRESS.md @@ -77,7 +77,7 @@ sie unerwartet ab, ist etwas kaputtgegangen. | Kapiteldateien | 22 | **31** | | Kapitel | 15 | **23** | | Anhänge | 4 | **5** | -| Zeilen im Gesamtdokument | 11 082 | **28 243** | +| Zeilen im Gesamtdokument | 11 082 | **28 253** | | Größe des Gesamtdokuments | 606 KB | **1 593 KB** | | Hauptüberschriften | 131 | **298** | | registrierte Abschnitte | 122 | **295** | @@ -87,7 +87,7 @@ sie unerwartet ab, ist etwas kaputtgegangen. | PDF-Seiten | — | **746** | | Notebooks | — | **25** | | Plotly-Figuren | — | **4** | -| Diagramme (SVG) | 26 | **32**, davon **18** mit Generatorskript (15 Skripte) | +| Diagramme (SVG) | 26 | **33**, davon **19** mit Generatorskript (16 Skripte) | **Gegenprobe:** `build_version_03.py --check` läuft unverändert durch — Version 03 ist von allen Änderungen unberührt. @@ -1652,6 +1652,44 @@ aus {ref:sec:praxisfallen-attribution}. Kein neues Programm, keine neue Aufgabe — der Abschnitt bündelt Vorhandenes. Querverweise 730 → 755, PDF 744 → **746** Seiten. +### ✅ 7.2 Wasserfalldiagramm „was es bringt" ({ref:kap:supplychain}) + +Setzt den umsetzbaren Teil von Paket 3 aus `Verbesserungen_03.md` um (Vorher-Nachher- +Wasserfall, Business Impact). Neuer Generator `bilder_04/erzeuge_wirkung.py`; das +Supply-Chain-Kapitel bekommt damit **sein erstes Diagramm** überhaupt. + +**Der Anlass:** Die Tabelle im Kapitel nannte nur die Summen — 874 870 € gegen 351 356 €, +149 % mehr. Wofür genau, stand nirgends. + +**Der Generator rechnet die Instanz erneut**, wie es die Konvention verlangt („so können +Diagramm und Buchtext nicht auseinanderlaufen"). Die Probe fiel gut aus: Der unabhängige +Nachbau reproduziert beide abgedruckten Summen **exakt**, dazu 178,7 MWh Fehlmenge und +28/40 Szenarien mit Abwurf. Kein Auseinanderlaufen — der erste Generator dieser Reihe, der +nichts findet, und das ist ein Ergebnis für sich. + +**Was die Zerlegung zeigt und die Tabelle nicht:** + +| | Anfahrt | Brennstoff | Lastabwurf | Gesamt | +| --- | ---: | ---: | ---: | ---: | +| zweistufig | 58 000 € | 293 356 € | 0 € | **351 356 €** | +| Erwartungswert | 58 000 € | 280 631 € | 536 239 € | **874 870 €** | + +Die **Anfahrkosten sind identisch** — der Erwartungswert-Plan spart also nicht dort, wo man +es vermuten würde. Er spart 12 725 € Brennstoff und bezahlt dafür 536 239 € Lastabwurf: das +**42-fache**. „149 % mehr" ist eine Zahl, über die man streiten kann; „wir sparen 12 725 € +und riskieren 536 239 €" ist eine, über die man entscheidet. + +Die Trennung von Brennstoff- und Abwurfkosten ist der einzige Zusatz gegenüber `bewerte()` +im Buchprogramm; dort wird sie nicht gebraucht. + +**Ein eigener Fehler unterwegs:** Ein `.replace(",", ".")` für deutsche Tausenderpunkte lag +auf dem **ganzen Titelsatz** und machte aus „Brennstoff, Preis" ein „Brennstoff. Preis". +Jetzt gibt es `euro()`, das nur auf Zahlen angewandt wird — mit einem Kommentar, der genau +davor warnt. + +SVG byteidentisch über zwei Läufe. Diagramme jetzt **33**, davon **19** mit Generator +(16 Skripte). + --- ## 8. Commit-Historie des V04-Strangs diff --git a/bilder_04/erzeuge_wirkung.py b/bilder_04/erzeuge_wirkung.py new file mode 100644 index 0000000..cbee3b2 --- /dev/null +++ b/bilder_04/erzeuge_wirkung.py @@ -0,0 +1,253 @@ +#!/usr/bin/env python3 + +# erzeuge_wirkung.py +""" +Erzeugt das Wasserfalldiagramm zum Kapitel Supply-Chain und Energieeinsatz: + + bilder_04/kap_supplychain_wirkung.svg statisch, fuer das PDF + bilder_04/kap_supplychain_wirkung.png Rasterfassung + +Die Frage, die es beantwortet, ist die des Managements: WOFUER genau kostet +der Erwartungswert-Plan 149 % mehr? Die Tabelle im Kapitel nennt nur die +Summen (874.870 EUR gegen 351.356 EUR). Der Wasserfall zerlegt die +Differenz - und die Zerlegung ist der eigentliche Befund: + + * Die ANFAHRKOSTEN sind in beiden Plaenen gleich (58.000 EUR). Der + Erwartungswert-Plan spart also nicht dort, wo man es vermuten wuerde. + * Er spart 12.725 EUR Brennstoff, weil er weniger Blockstunden vorhaelt. + * Und zahlt dafuer 536.239 EUR Lastabwurf. + +Das ist das 42-fache dessen, was er einspart. Genau diese Gegenueberstellung +laesst sich in eine Vorlage uebernehmen, eine Summendifferenz nicht. + +Verfahren und Instanz sind wortgleich zu Kraftwerkseinsatz.py, und gerechnet +wird hier ERNEUT - so koennen Diagramm und Buchtext nicht auseinanderlaufen. +Der Nachbau reproduziert die im Kapitel abgedruckten Summen exakt; das ist +die Probe darauf, dass beide dasselbe Modell meinen. Zusaetzlich trennt er +Brennstoff- und Abwurfkosten, was bewerte() im Buchprogramm nicht tut, weil +es dort nicht gebraucht wird. + +Aufruf (aus dem Repository-Wurzelverzeichnis): + python3 bilder_04/erzeuge_wirkung.py + +Benoetigt: numpy, matplotlib, ortools +""" + +from __future__ import annotations + +import os + +import matplotlib +matplotlib.use("Agg") +import matplotlib.pyplot as plt +import numpy as np +from ortools.linear_solver import pywraplp + +# Reproduzierbare SVG-Ausgabe (siehe erzeuge_titelseite.py) +plt.rcParams["svg.hashsalt"] = "or-mit-python-v04" + +BASIS = os.path.dirname(os.path.dirname(os.path.abspath(__file__))) +BILDER = os.path.join(BASIS, "bilder_04") + +INDIGO, CYAN, AMBER, GRUEN = "#4338ca", "#0891b2", "#b45309", "#059669" +GRAU = "#64748b" + +# --- Instanz: wortgleich zu Kraftwerkseinsatz.py ---------------------------- +# (Name, Mindestleistung, Nennleistung, Grenzkosten, Anfahrkosten, Mindestlaufzeit) +KRAFTWERKE = [ + ("Kernblock", 200, 600, 22, 40_000, 8), + ("Braunkohle", 100, 400, 35, 18_000, 6), + ("Steinkohle", 80, 300, 48, 12_000, 4), + ("Gas GuD", 50, 250, 72, 6_000, 2), + ("Gasturbine", 20, 150, 105, 1_500, 1), +] +STUNDEN, SZENARIEN, FLAUTENANTEIL, SAAT = 24, 40, 0.15, 4 +LASTABWURF = 3_000.0 # EUR je nicht gedeckter MWh + +_t = np.arange(STUNDEN) +LAST = 620 + 260 * np.sin((_t - 7) / 24 * 2 * np.pi) + 90 * np.sin((_t - 4) / 12 * 2 * np.pi) +WIND_ERWARTUNG = np.maximum(0.0, 160 + 130 * np.sin((_t - 14) / 24 * 2 * np.pi)) + + +def euro(betrag: float, vorzeichen: bool = False) -> str: + """Deutsche Tausenderpunkte. Nur auf ZAHLEN anwenden, nie auf ganze Saetze.""" + text = f"{betrag:+,.0f}" if vorzeichen else f"{betrag:,.0f}" + return text.replace(",", ".") + " €" + + +def windszenarien() -> tuple[np.ndarray, np.ndarray]: + rng = np.random.default_rng(SAAT) + niveau = rng.lognormal(0, 0.40, (SZENARIEN, 1)) + wind = np.clip(WIND_ERWARTUNG * niveau + + rng.normal(0, 25, (SZENARIEN, STUNDEN)), 0, 420) + flaute = rng.random(SZENARIEN) < FLAUTENANTEIL + wind[flaute] *= 0.05 + return wind, flaute + + +def plane(wind: np.ndarray, gewichte: np.ndarray) -> np.ndarray: + """Stufe 1 (An/Aus, szenariouebergreifend) und Stufe 2 (Fahrweise je + Szenario) in einem Modell - wie plane() in Kraftwerkseinsatz.py.""" + n_s, n_b = wind.shape[0], len(KRAFTWERKE) + s = pywraplp.Solver.CreateSolver("SCIP") + s.SetTimeLimit(300_000) + laeuft = [[s.BoolVar(f"l{k}_{t}") for t in range(STUNDEN)] for k in range(n_b)] + start = [[s.BoolVar(f"s{k}_{t}") for t in range(STUNDEN)] for k in range(n_b)] + p = [[[s.NumVar(0, KRAFTWERKE[k][2], f"p{j}_{k}_{t}") for t in range(STUNDEN)] + for k in range(n_b)] for j in range(n_s)] + y = [[s.NumVar(0, s.infinity(), f"y{j}_{t}") for t in range(STUNDEN)] + for j in range(n_s)] + + for k, (_, pmin, pmax, _, _, mindestlaufzeit) in enumerate(KRAFTWERKE): + for t in range(STUNDEN): + vorher = laeuft[k][t - 1] if t > 0 else 0 + s.Add(start[k][t] >= laeuft[k][t] - vorher) + for spaeter in range(t, min(STUNDEN, t + mindestlaufzeit)): + s.Add(laeuft[k][spaeter] >= start[k][t]) + for j in range(n_s): + s.Add(p[j][k][t] >= pmin * laeuft[k][t]) + s.Add(p[j][k][t] <= pmax * laeuft[k][t]) + for j in range(n_s): + for t in range(STUNDEN): + s.Add(sum(p[j][k][t] for k in range(n_b)) + + float(wind[j, t]) + y[j][t] >= LAST[t]) + + s.Minimize( + sum(KRAFTWERKE[k][4] * start[k][t] + for k in range(n_b) for t in range(STUNDEN)) + + sum(gewichte[j] * sum(KRAFTWERKE[k][3] * p[j][k][t] + for k in range(n_b) for t in range(STUNDEN)) + for j in range(n_s)) + + sum(gewichte[j] * LASTABWURF * sum(y[j][t] for t in range(STUNDEN)) + for j in range(n_s))) + s.Solve() + return np.array([[laeuft[k][t].solution_value() for t in range(STUNDEN)] + for k in range(n_b)]).round() + + +def zerlege(plan: np.ndarray, wind: np.ndarray) -> dict: + """Setzt einen fertigen Plan der Wirklichkeit aus und trennt dabei die + Kostenarten - das ist der Zusatz gegenueber bewerte() im Buchprogramm.""" + n_b = len(KRAFTWERKE) + brennstoff, abwurf, fehlmenge = [], [], [] + for j in range(wind.shape[0]): + s = pywraplp.Solver.CreateSolver("GLOP") + p = [[s.NumVar(0, KRAFTWERKE[k][2], f"p{k}_{t}") for t in range(STUNDEN)] + for k in range(n_b)] + y = [s.NumVar(0, s.infinity(), f"y{t}") for t in range(STUNDEN)] + for k, (_, pmin, pmax, _, _, _) in enumerate(KRAFTWERKE): + for t in range(STUNDEN): + s.Add(p[k][t] >= pmin * plan[k, t]) + s.Add(p[k][t] <= pmax * plan[k, t]) + for t in range(STUNDEN): + s.Add(sum(p[k][t] for k in range(n_b)) + + float(wind[j, t]) + y[t] >= LAST[t]) + s.Minimize(sum(KRAFTWERKE[k][3] * p[k][t] + for k in range(n_b) for t in range(STUNDEN)) + + sum(LASTABWURF * y[t] for t in range(STUNDEN))) + s.Solve() + brennstoff.append(sum(KRAFTWERKE[k][3] * p[k][t].solution_value() + for k in range(n_b) for t in range(STUNDEN))) + fehlt = sum(v.solution_value() for v in y) + fehlmenge.append(fehlt) + abwurf.append(LASTABWURF * fehlt) + + anfahrt = sum(KRAFTWERKE[k][4] + * max(0.0, plan[k, t] - (plan[k, t - 1] if t > 0 else 0.0)) + for k in range(n_b) for t in range(STUNDEN)) + fehlmenge = np.array(fehlmenge) + return {"anfahrt": float(anfahrt), + "brennstoff": float(np.mean(brennstoff)), + "abwurf": float(np.mean(abwurf)), + "fehlmenge": float(fehlmenge.mean()), + "szenarien_mit_abwurf": int((fehlmenge > 1e-6).sum()), + "gesamt": float(anfahrt + np.mean(brennstoff) + np.mean(abwurf))} + + +def zeichne(zwei: dict, erw: dict) -> None: + """Wasserfall vom guten zum schlechten Plan: Was wird gespart, was kostet es.""" + d_anfahrt = erw["anfahrt"] - zwei["anfahrt"] + d_brennstoff = erw["brennstoff"] - zwei["brennstoff"] + d_abwurf = erw["abwurf"] - zwei["abwurf"] + + stufen = [("Zweistufiger\nPlan", zwei["gesamt"], None), + ("Brennstoff", d_brennstoff, "delta"), + ("Anfahren", d_anfahrt, "delta"), + ("Lastabwurf", d_abwurf, "delta"), + ("Erwartungswert-\nPlan", erw["gesamt"], None)] + + figur, achse = plt.subplots(figsize=(10.2, 5.6)) + unten = 0.0 + for i, (name, wert, art) in enumerate(stufen): + if art is None: + achse.bar(i, wert, 0.62, color=INDIGO, zorder=3) + achse.text(i, wert + 18_000, euro(wert), + ha="center", va="bottom", fontsize=11, fontweight="bold", + color=INDIGO) + unten = wert + continue + farbe = AMBER if wert > 0 else GRUEN + start = unten if wert > 0 else unten + wert + achse.bar(i, abs(wert), 0.62, bottom=start, color=farbe, zorder=3) + # Nullbalken (hier: Anfahren) sichtbar machen, sonst fehlt die Aussage + if abs(wert) < 5_000: + achse.plot([i - 0.31, i + 0.31], [start, start], color=GRAU, + linewidth=2.2, zorder=4) + achse.text(i, max(start + abs(wert), unten) + 18_000, + euro(wert, vorzeichen=True), + ha="center", va="bottom", fontsize=10.5, color=farbe, + fontweight="bold") + unten = unten + wert + if i < len(stufen) - 1: + achse.plot([i - 0.31, i + 0.69], [unten, unten], color=GRAU, + linewidth=0.9, linestyle=":", zorder=2) + + achse.set_xticks(range(len(stufen))) + achse.set_xticklabels([n for n, _, _ in stufen], fontsize=10.5) + achse.set_ylabel("Erwartete Tageskosten") + achse.set_ylim(0, erw["gesamt"] * 1.18) + achse.yaxis.set_major_formatter( + plt.FuncFormatter(lambda v, _: f"{v/1000:,.0f}k €".replace(",", "."))) + achse.grid(axis="y", linestyle=":", alpha=0.45, zorder=0) + for rand in ("top", "right"): + achse.spines[rand].set_visible(False) + + verhaeltnis = abs(d_abwurf / d_brennstoff) if d_brennstoff else float("inf") + # Zahlen einzeln setzen: Ein .replace(",", ".") auf den ganzen Satz wuerde + # auch das Satzkomma treffen. + achse.set_title( + "Was der Erwartungswert-Plan spart — und was er dafür bezahlt\n" + f"Ersparnis {euro(abs(d_brennstoff))} Brennstoff, Preis " + f"{euro(d_abwurf)} Lastabwurf: das {verhaeltnis:.0f}-fache", + fontsize=12.5, pad=14) + achse.text(0.5, -0.155, + f"Lastabwurf in {erw['szenarien_mit_abwurf']} von {SZENARIEN} " + f"Szenarien statt in {zwei['szenarien_mit_abwurf']}; " + f"Anfahrkosten in beiden Plänen gleich.", + transform=achse.transAxes, ha="center", fontsize=10, color=GRAU) + + figur.tight_layout() + os.makedirs(BILDER, exist_ok=True) + for endung in ("svg", "png"): + pfad = os.path.join(BILDER, f"kap_supplychain_wirkung.{endung}") + figur.savefig(pfad, format=endung, dpi=160, + metadata={"Date": None} if endung == "svg" else None) + print(f"geschrieben: {pfad}") + plt.close(figur) + + +if __name__ == "__main__": + wind, flaute = windszenarien() + gleich = np.full(SZENARIEN, 1.0 / SZENARIEN) + print(f"{SZENARIEN} Windszenarien, davon {int(flaute.sum())} Dunkelflauten") + + erw = zerlege(plane(WIND_ERWARTUNG.reshape(1, -1), np.array([1.0])), wind) + zwei = zerlege(plane(wind, gleich), wind) + + for name, w in (("Erwartungswert", erw), ("zweistufig", zwei)): + print(f" {name:<16} Anfahrt {w['anfahrt']:>9,.0f} " + f"Brennstoff {w['brennstoff']:>9,.0f} " + f"Abwurf {w['abwurf']:>9,.0f} = {w['gesamt']:>9,.0f}") + print(f" Aufschlag des Erwartungswert-Plans: " + f"{erw['gesamt'] / zwei['gesamt'] - 1:+.0%}") + zeichne(zwei, erw) diff --git a/bilder_04/kap_supplychain_wirkung.png b/bilder_04/kap_supplychain_wirkung.png new file mode 100644 index 0000000000000000000000000000000000000000..91c255fe71d7107a813529cba31238481d421ab3 GIT binary patch literal 103071 zcmd@6cQ}{r{|Ao0G)0Os5?Q6Jtd`11NhM{EC^L76Q1(tnR#H|ADUwYY$;d7$Go`|Wt&$NfIKy}YjLI?wa@e5~i?uYBD6ItAA`A3~!oHE*RQcTUgmzm>F@|o7}u*W_9C$ zu$ZW@gbyLMK?%C;L6z9M5y?j%v zOG{#6D{UNKEA3rIS=pE8+UHlgetZ(vy{!=>U3_ci?g59eD`={Z6<_G%! z{W!xQtDwRE`S{(bASTiO^Km)nN}3)2`)M8?DdYbSetm<0gv5?*{_F6+l9H16XY4!+ zA5wL5FA6=3i;Gh@epGJE$J3K?cF(qT>(+(Ys}AgE6TeEmXWJ%8Ny&}@_le2LOw)Rv 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