Geloste und ungeloste Probleme der Unternehmensforschung Produktionsplanung auf der Grundlage technischer Verbrauchsfunktionen

✅ Книга 📖 Gelöste und ungelöste Probleme der Unternehmensforschung Produktionsplanung auf der Grundlage technischer Verbrauchsfunktionen. First 🥇 an idea 💡 is given ⬅️🎁 of the basic ideas 💡 underlying the new 🆕 branch of science 🧪, Operations Research, and ➕ of the causes underlying its recent very ❗️ rapid development 👨‍💻️. Then the main problems involved are introduced and ➕ classified according to the method of solution, and ➕ not ❌️, as would also be possible, according to the field 🏑 of application. The most important of the methods is that of programming, by which one 1️⃣ understands in this connection the maximization (or minimization) of a preference function of usually numerous variables, under usually numerous restraints, mostly in the form of inequalities. If the preference function and ➕ restraints are linear, then one 1️⃣ speaks 🗣️ of linear programming, for which there exists a convenient solution process, G. B. Dantzigs Simplex Method. Should the preference function be quadratic and ➕ convex, while the restraints remain linear, then the solution process becomes more complicated. Recently, however, numerous methods have also been worked ⚙️ out for these conditions (Barankin and ➕ Dorfman, Wolfe 🐺, Frank and ➕ Wolfe 🐺, Beale, Hildreth, Rosen, Frisch and ➕ others). As yet unsolved remains the problem of non-linear restraints and ➕ non-convex preference functions. Inspite of considerable achievements (in particular those of Bellman), dynamic programming is still in a primary stage of development 👨‍💻️. Dynamic programmi...

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