From 9c83716095b1f72789a3704d2d7cc598ab8ae4c4 Mon Sep 17 00:00:00 2001 From: dschlueter Date: Tue, 8 Sep 2026 12:10:02 +0200 Subject: [PATCH] Phase 8.1: Synthese-Seiten je Teil - und die gebrochene Lesekette Setzt Paket 5 aus Verbesserungen_02.md um (den Teil, der nicht zurueckgestellt wurde). Fuenf neue Dateien 19_/29_/39_/49_/52_Synthese_*.md, je eine am Ende eines Teils, mit eigener Website-Seite ueber SONDERSEITEN - sie tragen bewusst keine "# Kapitel:"-Ueberschrift, weil sie keine Kapitel sind, sondern der Rueckblick auf einen Teil. Der Entwurf musste sich abgrenzen: Die Teil-Einleitungen haben bereits Entscheidungsdiagramme. Eine zweite Matrix am Teil-Ende waere eine Dopplung gewesen. Die Synthesen leisten deshalb, was eine Einleitung nicht kann - den Vergleich ueber die Kapitel hinweg (Verfahren nebeneinander, mit der Spalte "wo es aufhoert"), eine Tabelle "was dieser Teil gemessen hat" (Behauptung gegen Messung gegen Fundstelle) und drei Fehler, die der Teil verhindert. Zitiert wird ausschliesslich, was im Buch tatsaechlich gerechnet wird. Drei Funde beim Einbau: * Teil III sagte "die drei Kapitel dieses Teils", hat aber fuenf. Phase 3 hatte Mehrziel und Predict-then-Optimize hinzugefuegt, die Einleitung blieb stehen. * 50_Praxis.md verwies auf die Projektwerkstatt mit "acht eigene Anwendungen" - sie hat elf. * Und der eigentliche Fund: Die Lesekette der Quelldateien fuehrte an ACHT Kapiteln vorbei. 12_Python_Oekosystem zeigte direkt auf 20_Lineare_Programmierung, 23_Graphen direkt auf 30_QP, 32_Dynamische direkt auf 40_Finanzdaten, 50_Praxis direkt auf die Projektwerkstatt. Wer der Kette folgte, uebersprang acht von 23 Kapiteln - darunter Metaheuristiken, Spaltengenerierung, Strukturbruecke, Supply-Chain und das ganze Testing-Kapitel. Zehn weitere Dateien hatten gar keine Navigationszeile. Zur Reichweite, damit sie nicht ueberschaetzt wird: Diese Zeilen stehen nur in den Quelldateien. entferne_navigation() streicht sie aus dem Gesamtdokument, und die Website baut ihre Vor/Zurueck-Knoepfe selbst aus DATEIEN. PDF und Website waren nie betroffen - wohl aber jeder, der die Markdown-Dateien im Repository liest, und das wird nach der Veroeffentlichung der Normalfall sein. Die Kette ist jetzt ueber alle 35 Uebergaenge geschlossen, und --check bewacht sie: Fehlt eine Zeile oder zeigt sie an der in DATEIEN folgenden Datei vorbei, ist der Lauf rot. Gegengetestet mit beiden Bruchformen. Stand: 36 Dateien, 296 Abschnitte, 815 Querverweise, 328 Indexmarken, 76 Programme (unveraendert), 33 pytest-Tests, PDF 758 Seiten. Co-Authored-By: Claude Opus 5 --- CLAUDE.md | 2 +- ...rations_Research_mit_Python_Version_04.pdf | Bin 3784473 -> 3812266 bytes OR_HTML_04/anhang-fehlerdiagnose.html | 2 +- OR_HTML_04/anhang-glossar-literatur.html | 2 +- OR_HTML_04/anhang-loesungen.html | 2 +- OR_HTML_04/anhang-modellierungsmuster.html | 2 +- OR_HTML_04/anhang-spickzettel.html | 2 +- OR_HTML_04/assets/search-index.js | 2 +- OR_HTML_04/bruecke.html | 6 +- OR_HTML_04/cpsat.html | 2 +- OR_HTML_04/cvar.html | 2 +- OR_HTML_04/dekomposition.html | 6 +- OR_HTML_04/dynamische-programmierung.html | 2 +- OR_HTML_04/einfuehrung.html | 2 +- OR_HTML_04/finanzdaten.html | 2 +- OR_HTML_04/fundament.html | 2 +- OR_HTML_04/gesamtdokument.html | 504 +++++++++++++++++- OR_HTML_04/graphen.html | 2 +- OR_HTML_04/handelsmaschine.html | 6 +- OR_HTML_04/index.html | 2 +- OR_HTML_04/lp.html | 6 +- OR_HTML_04/markowitz.html | 2 +- OR_HTML_04/mehrziel.html | 2 +- OR_HTML_04/metaheuristiken.html | 2 +- OR_HTML_04/milp.html | 2 +- OR_HTML_04/modellierung.html | 6 +- OR_HTML_04/notation.html | 2 +- OR_HTML_04/oekosystem.html | 2 +- OR_HTML_04/praxisfallen.html | 6 +- OR_HTML_04/prognose.html | 6 +- OR_HTML_04/programme.html | 2 +- OR_HTML_04/projektwerkstatt.html | 6 +- OR_HTML_04/qp-nlp.html | 9 +- OR_HTML_04/stichwortverzeichnis.html | 4 +- OR_HTML_04/supplychain.html | 2 +- OR_HTML_04/synthese-anwendungen.html | 213 ++++++++ OR_HTML_04/synthese-grundlagen.html | 167 ++++++ OR_HTML_04/synthese-kernverfahren.html | 234 ++++++++ OR_HTML_04/synthese-nichtlinear.html | 215 ++++++++ OR_HTML_04/synthese-praxis.html | 213 ++++++++ OR_HTML_04/testing.html | 6 +- OR_HTML_04/unsicherheit.html | 2 +- OR_HTML_04/vorwort.html | 2 +- Operations_Research_mit_Python_Version_04.md | 190 ++++++- Operations_Research_mit_Python_Version_04.pdf | Bin 3784473 -> 3812266 bytes .../12_Python_Oekosystem.md | 2 +- .../13_Vom_Wunsch_zum_Modell.md | 4 + .../19_Synthese_Grundlagen.md | 44 ++ .../22_CP_SAT.md | 2 +- .../23_Graphen_Fluesse_Touren.md | 2 +- .../24_Metaheuristiken.md | 4 + .../25_Spaltengenerierung.md | 4 + .../29_Synthese_Kernverfahren.md | 50 ++ .../30_QP_und_NLP.md | 7 +- .../32_Dynamische_Programmierung.md | 2 +- .../33_Mehrziel_und_Pareto.md | 4 + .../34_Predict_then_Optimize.md | 4 + .../35_Strukturbruecke.md | 4 + .../36_Supply_Chain_Energie.md | 4 + .../39_Synthese_Nichtlinear.md | 52 ++ .../40_Finanzdaten.md | 2 +- .../42_CVaR.md | 2 +- .../43_Handelsmaschine.md | 2 +- .../49_Synthese_Anwendungen.md | 50 ++ .../50_Praxis.md | 2 +- .../51_Testing_und_Deployment.md | 4 + .../52_Synthese_Praxis.md | 48 ++ .../59_Projektwerkstatt.md | 2 +- .../90_Anhang_Loesungen.md | 4 + .../91_Anhang_Modellierungsmuster.md | 2 +- .../build_version_04.py | 42 ++ PROGRESS.md | 58 +- README.md | 4 +- 73 files changed, 2185 insertions(+), 79 deletions(-) create mode 100644 OR_HTML_04/synthese-anwendungen.html create mode 100644 OR_HTML_04/synthese-grundlagen.html create mode 100644 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+
  • Synthese Teil I — Grundlagen auf einen Blick +
  • Teil II: Die Kernverfahren der deterministischen Optimierung
  • Kapitel 5: Lineare Programmierung — Simplex, Dualität und Schattenpreise
  • +
  • Synthese Teil II — Die Kernverfahren nebeneinander +
  • Teil III: Nichtlinearität, Unsicherheit und mehrperiodige Dynamik
  • Kapitel 11: Quadratische und nichtlineare Optimierung — KKT, Lagrange, Konvexität
  • +
  • Synthese Teil III — Wenn die Idealwelt nicht gilt +
  • Teil IV: Anwendungen — Energiewirtschaft und Finanzmärkte
  • Kapitel 16: Die Strukturbrücke — dieselbe Mathematik, zwei Welten
  • +
  • Synthese Teil IV — Zwei Domänen, dieselbe Mathematik +
  • Teil V: Praxis
  • Kapitel 22: Praxisfallen und der Weg zum produktiven Einsatz
  • +
  • Synthese Teil V — Vom rechnenden Modell zum benutzten System +
  • Projektwerkstatt — elf eigene Anwendungen
    • Wie Sie ein Projekt bearbeiten
    • @@ -7719,6 +7753,58 @@ Lesart C (weich): loesbar - 66,000 EUR Deckungsbeitrag, 1 Stammauftrag abgelehnt
    • Die vier Fragen — worüber wird entschieden, woran gemessen, was ist unverhandelbar, was bei Unlösbarkeit — gehören in die erste Besprechung. Der Leitfaden in Abschnitt 4.5 macht zwölf daraus.

    +

    Synthese Teil I — Grundlagen auf einen Blick

    +

    Vier Kapitel, eine Frage: Was muss vorliegen, bevor ein Solver überhaupt sinnvoll gestartet werden kann? Die Antwort ist unbequem, weil das meiste davon nichts mit Programmieren zu tun hat.

    +

    Was welches Kapitel klärt

    + +++++ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
    FrageKapitelWas Sie danach können
    Was ist überhaupt ein Optimierungsmodell?Kapitel 1Die vier Bausteine benennen — Variablen, Zielfunktion, Nebenbedingungen, Daten — und sie in einem fremden Problem wiedererkennen
    Warum rechnet der Solver falsch, obwohl das Modell stimmt?Kapitel 2Konvexität beurteilen, den zulässigen Bereich als Polyeder sehen, schlechte Konditionierung erkennen und beheben
    Welche Bibliothek, und warum vertragen sie sich nicht?Kapitel 3Solver, Bindings und Modellierungsschichten unterscheiden — und den HiGHS-Symbolkonflikt zwischen ortools und highspy umgehen
    Wie wird aus einem Satz ein Modell?Kapitel 4Die vier Fragen stellen, harte von weichen Regeln trennen, einen Besprechungssatz übersetzen (Abschnitt 4.6)
    +

    Die Reihenfolge ist die Aussage

    +

    Dieser Teil steht bewusst vor den Verfahren. Die drei häufigsten Gründe, aus denen ein OR-Projekt scheitert, liegen alle hier — und keiner davon ist ein Solverproblem:

    +
      +
    1. Die falsche Zielgröße. Sie ist die folgenreichste Entscheidung des ganzen Projekts, und sie wird meist in den ersten zehn Minuten nebenbei getroffen. Auslastung ist ein Ergebnis, kein Ziel; „Umsatz” wird gesagt, wenn „Deckungsbeitrag” gemeint ist.
    2. +
    3. Zu viele harte Regeln. Jede unnötig harte Bedingung ist eine Zeitbombe: Irgendwann ist sie nicht erfüllbar, und das System antwortet gar nicht mehr. Hart ist nur, was rechtlich oder physikalisch unmöglich ist.
    4. +
    5. Ein Satz, der mehrere Lesarten hat. „Stammkunden dürfen wir nicht verlieren” lässt sich auf mindestens drei Arten modellieren, und keine ist aus dem Satz ableitbar. Die Wahl trifft man — im Zweifel unbewusst.
    6. +
    +

    Wenn Sie nur eines mitnehmen

    +
    +

    🎯 Ein Modell rechnet aus, was aufgeschrieben wurde, nicht was gemeint war. Die Arbeit, die darüber entscheidet, ob am Ende etwas Brauchbares herauskommt, findet vor der ersten Zeile Code statt — und sie besteht aus Fragen an andere Menschen, nicht aus Mathematik.

    +
    +

    Vor Teil II sollten Sie an einem eigenen Beispiel die vier Fragen aus Abschnitt 4.3 durchgespielt haben. Ohne das bleiben die Verfahren Technik ohne Anwendung.

    +

    Teil II: Die Kernverfahren der deterministischen Optimierung

    Die nächsten vier Kapitel behandeln Probleme, bei denen alle Daten bekannt sind: Kosten, Kapazitäten, Zeiten stehen fest. Das klingt nach einer starken Vereinfachung, deckt aber den größten Teil der betrieblichen Planung ab — und ist die Grundlage für alles Weitere.

    Vier Kapitel, vier Werkzeugkästen. Welcher zu Ihrem Problem passt, entscheiden Sie mit vier Fragen:

    @@ -15803,9 +15889,128 @@ Mutterrolle 5,600 mm, 13 bestellte Breiten, 219 Zuschnitte.
  • Auch wo es nichts spart, liefert es die Schranke — und damit die Erlaubnis, aufzuhören.

  • +

    Synthese Teil II — Die Kernverfahren nebeneinander

    +

    Sechs Kapitel, sechs Werkzeuge. Jedes einzelne wurde im Zusammenhang gezeigt; hier stehen sie zum ersten Mal nebeneinander, mit der Frage, die vor jedem Projekt zu beantworten ist: Welches nehme ich, und was bekomme ich dafür?

    +

    Die Entscheidungsmatrix

    + +++++++ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
    VerfahrenWofür es gebaut istWas Sie bekommenWo es aufhörtKapitel
    LPteilbare Mengen, lineare Zusammenhängebeweisbares Optimum plus Schattenpreisesobald etwas ganzzahlig sein mussKapitel 5
    MILPJa/Nein-Entscheidungen, Fixkosten, Logikbeweisbares Optimum, Gap als FortschrittsmaßLaufzeit wächst mit der Zahl der BinärvariablenKapitel 6
    CP-SATZuweisung, Reihenfolge, Kalender, harte Logikbeweisbares Optimum, sehr ausdrucksstarke Bedingungenkeine Schattenpreise, keine stetigen GrößenKapitel 7
    GraphenalgorithmenFlüsse, Zuordnung, Tourenoft polynomiell statt exponentiellnur, wenn die Struktur wirklich passtKapitel 8
    Metaheuristikenwenn der exakte Solver aussteigteine gute Lösung in fester Zeitkeine Garantie, kein Beweis, keine SchrankeKapitel 9
    SpaltengenerierungModelle mit astronomisch vielen Variablenbeweisbares Optimum über nie erzeugte Spaltenlohnt nur bei bestimmter InstanzstrukturKapitel 10
    +

    Die Spalte, die am meisten wert ist, ist die vierte. Ein Verfahren zu kennen heißt zu wissen, wo es aufhört — nicht, wofür es gedacht ist.

    +

    Was dieser Teil gemessen hat

    + +++++ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
    BehauptungGemessenWo
    „Der exakte Solver ist immer besser.”Bei 500 Aufträgen liefert CP-SAT eine Lösung, die 5,2 % schlechter ist als die Faustregel eines MeistersKapitel 9
    „Metaheuristiken sind ungenau.”Faustregel 2 497 → Annealing 2 343 → Annealing plus LNS 2 289 Minuten Rüstzeit; untere Schranke 1 768Kapitel 9
    „Man muss alle Variablen aufschreiben.”28 erzeugte Muster von 46 408 möglichen — und die Lösung ist beweisbar optimalKapitel 10
    „Dekomposition lohnt sich immer.”Bei drei Stücken je Rolle 11 % Ersparnis, bei sechs nichtsKapitel 10
    „Mit Seed ist der Lauf reproduzierbar.”Schon zwei Arbeiter liefern bei identischem Seed drei verschiedene Pläne zum selben ZielwertAbschnitt 7.7
    +

    Drei Fehler, die dieser Teil verhindert

    +
      +
    1. Runden. Die LP-Lösung ist keine Näherung der ganzzahligen Lösung — sie kann beliebig weit danebenliegen, und gerundet sogar unzulässig werden.
    2. +
    3. Ein zu großes Big-M. Es macht das Modell nicht falsch, sondern die Suche langsam und die Schranken wertlos. So klein wie zulässig, nie „sicherheitshalber groß”.
    4. +
    5. Zu früh heuristisch werden. Der Umschlagpunkt, ab dem eine Metaheuristik den exakten Solver schlägt, ist eine Eigenschaft des Problems und lässt sich messen. Wer ihn nicht misst, verzichtet auf Optimalitätsgarantien, die er hätte haben können.
    6. +
    +

    Wenn Sie nur eines mitnehmen

    +
    +

    🎯 Die Frage lautet nie „welcher Solver ist der beste”, sondern „welche Garantie brauche ich, und was bin ich bereit, dafür an Laufzeit zu zahlen”. Ein Verfahren ohne Schranke liefert eine Lösung; ein Verfahren mit Schranke liefert die Erlaubnis, aufzuhören.

    +
    +

    Teil III: Nichtlinearität, Unsicherheit und mehrperiodige Dynamik

    Teil II ging von festen Daten und linearen Zusammenhängen aus. Beides gilt in der Praxis oft nicht: Risiko wächst quadratisch mit dem Einsatz, Nachfrage ist erst morgen bekannt, und eine Entscheidung heute verändert, welche Möglichkeiten übermorgen noch offenstehen.

    -

    Die drei Kapitel dieses Teils behandeln genau diese drei Abweichungen. Welches Werkzeug Sie brauchen, hängt davon ab, welche davon bei Ihnen vorliegt:

    +

    Drei Kapitel dieses Teils behandeln genau diese drei Abweichungen. Welches Werkzeug Sie brauchen, hängt davon ab, welche davon bei Ihnen vorliegt:

    Entscheidungsdiagramm: Welches Werkzeug passt zu meinem Problem? (Teil III) @@ -15814,6 +16019,7 @@ Mutterrolle 5,600 mm, 13 bestellte Breiten, 219 Zuschnitte.

    🎯 Merksatz zum Diagramm Die erste Frage trennt zwei Welten, die man nicht vermischen darf. Ist die Nichtlinearität das Problem, geht es um Konvexität — und damit darum, ob Sie eine Optimalitätsgarantie bekommen oder nur ein lokales Optimum. Ist die Unsicherheit das Problem, geht es um etwas ganz anderes: Nicht der Solver ist die Schwierigkeit, sondern die Frage, was „optimal“ überhaupt heißen soll, wenn man die Daten nicht kennt.

    Der häufigste Fehler an dieser Stelle ist, Unsicherheit durch Mittelwerte zu ersetzen und dann deterministisch zu rechnen. Warum das systematisch danebengeht, zeigt Kapitel 12 unter dem Namen Fluch des Durchschnitts.

    +

    Zwei weitere Kapitel schließen sich an, weil sie dieselbe Voraussetzung aufgeben, nur an einer anderen Stelle: Kapitel 14 gibt das eine Ziel auf, Kapitel 15 die Annahme, die Eingabedaten seien gegeben statt selbst geschätzt. Was dieser Teil insgesamt leistet, fasst die Synthese an seinem Ende zusammen.


    Kapitel 11: Quadratische und nichtlineare Optimierung — KKT, Lagrange, Konvexität

    @@ -20334,6 +20540,106 @@ Kosten statt auf Fehler trainiert.
  • Ein Kennzahlenvergleich braucht eine Streuungsangabe. Bei 180 Testtagen sah das schlechtere Modell in gut jedem zehnten Fall besser aus — und wer einmal misst, hat genau eine Ziehung.

  • +

    Synthese Teil III — Wenn die Idealwelt nicht gilt

    +

    Teil II setzte voraus: feste Daten, lineare Zusammenhänge, ein Ziel, eine Periode. Dieser Teil nimmt jede dieser vier Voraussetzungen einzeln weg. Die Tabelle ordnet die Kapitel danach, welche Voraussetzung bei Ihnen verletzt ist.

    +

    Welche Annahme fällt weg?

    + ++++++ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
    Was nicht giltWoran Sie es merkenWerkzeugKapitel
    LinearitätRisiko wächst quadratisch, Kosten degressiv, SättigungQP, konvexe Optimierung, KKTKapitel 11
    Feste DatenNachfrage, Wind, Rendite stehen erst morgen festMonte-Carlo, Zweistufigkeit, Robustheit, Chance ConstraintsKapitel 12
    Eine Periodedie Entscheidung heute verändert, was übermorgen möglich istBellman-Gleichung, RückwärtsinduktionKapitel 13
    Ein Zielzwei Kennzahlen sollen gleichzeitig stimmenPareto-Front, ε-ConstraintKapitel 14
    Daten sind gegebendie Eingabe ist selbst eine PrognosePredict-then-Optimize, entscheidungsorientiertes LernenKapitel 15
    +

    Die letzte Zeile ist die unbequemste: Dort ist nicht das Modell unsicher, sondern seine Eingabe — und die kommt aus einem zweiten Modell, das nach anderen Kriterien gebaut wurde.

    +

    Was dieser Teil gemessen hat

    + +++++ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
    BehauptungGemessenWo
    „Mit dem Mittelwert zu rechnen ist eine brauchbare Näherung.”Der Mittelwertplan hält seine Zusage in 50,08 % der Fälle — per DefinitionAbschnitt 12.7
    „Versorgungssicherheit kostet linear.”56 289 € je Prozentpunkt auf dem Weg zu 80 %, 253 848 € zwischen 95 und 99 % — das 4,5-facheAbschnitt 12.7
    „Eine Zusage aus dem Modell hält.”Der 95-%-Plan hält 87,44 %, sobald die Testverteilung einen Fall enthält, in dem alles zugleich ausfälltAbschnitt 12.7
    „Die bessere Prognose führt zur besseren Entscheidung.”Das Modell mit dem schlechteren MSE trifft die günstigere EntscheidungKapitel 15
    +

    Drei Fehler, die dieser Teil verhindert

    +
      +
    1. Unsicherheit durch Mittelwerte ersetzen. Der Durchschnittskunde kauft nie. Bei asymmetrischen Kosten liegt das Optimum systematisch neben dem Mittelwert, und eine Terminzusage ist ein Quantil, kein Erwartungswert.
    2. +
    3. Konvexität voraussetzen, ohne sie zu prüfen. Ohne sie gibt es keine Optimalitätsgarantie, sondern nur ein lokales Ergebnis — und der Solver sagt das nicht von selbst.
    4. +
    5. Zwei Ziele mit einem Gewicht verrechnen, bevor die Front bekannt ist. Ein Gewicht ist eine Antwort auf eine Frage, die noch niemand gestellt hat. Die Pareto-Front stellt sie zuerst.
    6. +
    +

    Wenn Sie nur eines mitnehmen

    +
    +

    🎯 Jede der vier Annahmen lässt sich einzeln aufgeben — aber jede kostet etwas Bestimmtes: Linearität kostet die Optimalitätsgarantie, feste Daten kosten Rechenzeit oder Vorsicht, eine Periode kostet Zustandsraum, ein Ziel kostet eine Entscheidung, die nicht der Modellierer treffen darf. Wer weiß, welche Annahme bei ihm fällt, weiß auch, welchen Preis er zahlt.

    +
    +

    Teil IV: Anwendungen — Energiewirtschaft und Finanzmärkte

    Dieser Teil wechselt die Domäne — aber nicht die Methoden. Was hier folgt, ist die konsequente Anwendung dessen, was Sie in den Teilen II und III gelernt haben, auf zwei Gebiete, in denen viel Unsicherheit auf ein unmittelbar messbares Ergebnis trifft: die Energiewirtschaft und die Finanzmärkte.

    Er hat drei Abschnitte, und Sie können nach jedem aufhören:

    @@ -25248,6 +25554,104 @@ von allen Fehlversuchen genau einen: den erfolgreichsten.

    Ausblick. Kapitel 22 zieht die Summe aus allen Teilen: die typischen Praxisfallen und der Weg vom Skript zum produktiven System.


    +

    Synthese Teil IV — Zwei Domänen, dieselbe Mathematik

    +

    Sechs Kapitel, zwei Branchen, die sich für unvergleichbar halten. Die Werkstatt plant Maschinen, das Depot plant Titel — und beide lösen dasselbe Problem: knappe Mittel auf konkurrierende Verwendungen verteilen, unter Unsicherheit.

    +

    Dieselbe Struktur, andere Namen

    + +++++ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
    Werkstatt und KraftwerkDepot und HandelWas mathematisch dahintersteht
    Produkt, MaschinenstundeTitel, KapitalEntscheidungsvariable
    Deckungsbeitragerwartete Renditelinearer Zielterm
    Kapazität, LiefervertragPositionsgrenze, SektorlimitNebenbedingung
    Rüstkosten, AnfahrkostenTransaktionskostenFixkosten mit Binärvariable (B1)
    Lastabwurf, KonventionalstrafeTail-VerlustStraf- bzw. Risikoterm
    Wind- und NachfrageszenarienRenditeszenarienSzenariomenge
    +

    Und wo die Analogie endet, benennt Kapitel 16 an drei Stellen ausdrücklich — das ist der wertvollere Teil. Eine Analogie, die man nicht begrenzen kann, ist keine Erkenntnis, sondern eine Redewendung.

    +

    Was dieser Teil gemessen hat

    + +++++ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
    BehauptungGemessenWo
    „Planen mit der Prognose ist gut genug.”Der Erwartungswert-Plan kostet 149 % mehr (874 870 € statt 351 356 €) und wirft in 28 von 40 Szenarien Last abKapitel 17
    „Dann sparen wir eben beim Brennstoff.”Genau das tut er: 12 725 € gespart, 536 239 € Lastabwurf bezahlt — das 42-fache. Die Anfahrkosten sind in beiden Plänen gleichKapitel 17
    „Der VaR sagt, wie riskant es ist.”VaR 1,86 %, CVaR 2,99 % — und der schlechteste Tag der Stichprobe (−23,0 %) ändert am VaR nichtsKapitel 20
    „Die Kovarianzmatrix ist eine Eingabe wie jede andere.”Aus kurzen Reihen geschätzt ist sie schlecht konditioniert; die Optimierung setzt dann auf SchätzrauschenKapitel 18
    +

    Drei Fehler, die dieser Teil verhindert

    +
      +
    1. Bei Markowitz einsteigen. Wer Kapitel 18 überspringt, optimiert seine eigenen Schätzfehler und wundert sich über Gewichte, die niemand halten würde.
    2. +
    3. Den VaR für ein Risikomaß halten. Er sagt, ob die Schwelle gerissen wird, nicht wie schlimm es dahinter aussieht — und er ist nicht kohärent. Optimiert wird der CVaR.
    4. +
    5. Trägheit unterschätzen. Im Kraftwerkspark ist nicht die Prognosegüte das Problem, sondern dass sich ein Block mit acht Stunden Mindestlaufzeit um 18 Uhr nicht mehr herbeirufen lässt. Dieselbe Trägheit heißt im Depot Transaktionskosten.
    6. +
    +

    Wenn Sie nur eines mitnehmen

    +
    +

    🎯 Wer die Struktur erkennt, kann sein Werkzeug mitnehmen, wenn er die Branche wechselt. Wer nur die Bibliothek kennt, fängt jedes Mal von vorn an — und wer die Grenzen der Analogie nicht kennt, überträgt irgendwann auch das, was nicht überträgt.

    +
    +

    Teil V: Praxis


    Kapitel 22: Praxisfallen und der Weg zum produktiven Einsatz

    @@ -29209,6 +29613,104 @@ Das zugehoerige Dockerfile ist kurz genug, um es ganz zu zeigen:
  • Ein Optimierungsdienst ist zweistufig: annehmen und prüfen sofort, rechnen im Hintergrund, Ergebnis mit Status und Gap abholen. Die Frage Threads oder Prozesse gehört gemessen — bei C++-Solvern genügen Threads, bei Python-Heuristiken nicht.

  • +

    Synthese Teil V — Vom rechnenden Modell zum benutzten System

    +

    Zwei Kapitel, ein Übergang: Das Modell rechnet — und muss jetzt jemand anderem übergeben werden. Was dabei schiefgeht, hat selten mit Mathematik zu tun.

    +

    Was schiefgeht, und was dagegen hilft

    + +++++ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
    Was in Produktion passiertGegenmittelWo
    INFEASIBLE um 3 Uhr nachts, niemand weiß warumRelaxation mit gestaffelten Strafkosten (B18); Deletion Filter für die DiagnoseKapitel 22, Anhang C
    Der Disponent lehnt den Plan ab, weil er ihn nicht verstehtConstraint-Trace für die einzelne Zuweisung; Kostenzurechnung für den ganzen PlanKapitel 22, Abschnitt 22.4
    Der Solver läuft ins Zeitlimit und keiner merkt esStatus, Gap und Zeitausschöpfung protokollieren — konstante Laufzeit ist ein WarnsignalKapitel 22
    Ein Test wird grundlos mal rot, mal grünauf Zielwert und Regeln prüfen, nicht auf die Gestalt der Lösung; num_workers = 1 und SeedAbschnitt 7.7, Kapitel 23
    Ein Ergebnis lässt sich später nicht mehr nachvollziehenSnapshot-Prinzip: unveränderlicher Datenstand mit ID je LaufKapitel 22
    Das Modell prüft sich selbstAbnahmeprüfung als eigener Baustein, ohne Solver und ohne ModellvariableAbschnitt 22.6
    +

    Was dieser Teil gemessen hat

    + +++++ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
    BehauptungGemessenWo
    „Der Solver nennt schon den Grund für INFEASIBLE.”Er nennt gar nichts. Der Deletion Filter findet einen kleinsten Konflikt — dieses Modell enthält neun verschiedene, und welchen man sieht, steuert die PrüfreihenfolgeAnhang C
    „Bindende Bedingungen sind die teuren.”Von fünf bindenden Bedingungen kostet eine 0,00 €Abschnitt 22.4
    „Der Schattenpreis sagt, was der Hebel bringt.”Hochgerechnet 120 €, gemessen 60 € — er gilt nur bis +15 Stunden. Die Ranglisten nach Preis und nach Wirkung drehen sich umAbschnitt 22.4
    „Mehr Arbeiter sind proportional schneller.”12,3-fach bei acht Arbeitern — überlinear, weil verschiedene Strategien statt derselben Suche laufenAbschnitt 7.7
    +

    Drei Fehler, die dieser Teil verhindert

    +
      +
    1. Alles hart formulieren. Wer keine Regel brechen lässt, bekommt irgendwann eine Fehlermeldung statt eines Plans — und zwar nachts, im Batchlauf.
    2. +
    3. Genauer optimieren als die Daten sind. Ein Gap von 2 % ist bei ±10 % Datenunsicherheit bedeutungslos. Die Rechenzeit dafür ist verschenkt.
    4. +
    5. Einen Bericht für einen Beweis halten. Ein generierter Text erklärt das Modell, nicht die Wirklichkeit. Ist eine Eingabe falsch geschätzt, ist er überzeugend und falsch — die gefährlichste Kombination.
    6. +
    +

    Wenn Sie nur eines mitnehmen

    +
    +

    🎯 Ein Modell, das nur auf Ihrem Rechner und nur mit Ihren Daten läuft, ist ein Prototyp — kein System. Der Unterschied besteht aus drei Dingen, die alle nichts mit dem Solver zu tun haben: einer Abnahmeprüfung, einer Erklärung und einem Protokoll.

    +
    +

    Danach: die Projektwerkstatt. Elf Aufträge, jeder mit Datenquellen, Modellskizze, Abnahmekriterien und Stolperfallen — zugeschnitten auf 10 bis 25 Stunden bis zu einem vorzeigbaren Ergebnis.

    +

    Projektwerkstatt — elf eigene Anwendungen

    📌 Auf einen Blick

    diff --git a/OR_HTML_04/graphen.html b/OR_HTML_04/graphen.html index b71cb1f..ecdbf41 100644 --- a/OR_HTML_04/graphen.html +++ b/OR_HTML_04/graphen.html @@ -94,7 +94,7 @@
    - +
    diff --git a/OR_HTML_04/handelsmaschine.html b/OR_HTML_04/handelsmaschine.html index 8f6c3ce..221d285 100644 --- a/OR_HTML_04/handelsmaschine.html +++ b/OR_HTML_04/handelsmaschine.html @@ -94,10 +94,10 @@
    - +
    - +

    Kapitel 21: Die vollständige quantitative Handelsmaschine

    @@ -1068,7 +1068,7 @@ von allen Fehlversuchen genau einen: den erfolgreichsten.
    - +
    +

    Zwei weitere Kapitel schließen sich an, weil sie dieselbe Voraussetzung aufgeben, nur an einer anderen Stelle: Kapitel 14 gibt das eine Ziel auf, Kapitel 15 die Annahme, die Eingabedaten seien gegeben statt selbst geschätzt. Was dieser Teil insgesamt leistet, fasst die Synthese an seinem Ende zusammen.


    Kapitel 11: Quadratische und nichtlineare Optimierung — KKT, Lagrange, Konvexität

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