Könyv DA Stochastic Dynamic Programming, Stochastic Dynamic Distance Optimal Partitioning Problems and Partitions-Requirements-Matrices Regina Hildenbrandt

DA Stochastic Dynamic Programming, Stochastic Dynamic Distance Optimal Partitioning Problems and Partitions-Requirements-Matrices

Nyelv: Angol
Kötés: Puha kötésű
Elérhetőség: Beszállítói készleten
Küldés 8-11 napon belül
16 551 Ft
This book consists of, apart from the introduction, the chapters -DA Stochastic Dynamic Programming...

Információk a könyvről

Nyelv
Angol
Kötés
Könyv - Puha kötésű
Kiadva
2011
oldal
304
EAN
9783869556086
ISBN
3869556080
Enbook ID
13414661
Súly
396
Méretek
148 x 210 x 16

Teljes leírás

This book consists of, apart from the introduction, the chapters -DA Stochastic Dynamic Programming with Random Disturbances, -The Problem of Stochastic Dynamic Distance Optimal Partitioning (SDDP problem), -Partitions-Requirements-Matrices (PRMs). DA ("decision after") stochastic dynamic programming with random disturbances" is characterized by the fact that these random disturbances are observed before the decision is made at each stage. In the past, only very moderate attention was given to problems with this characteristic. In Chapter 2 specific properties of DA stochastic dynamic programming problems are worked out for theoretical characterization and for more efficient solution strategies of such problems. The (DA) Stochastic Dynamic Distance Optimal Partitioning problem (SDDP problem) is an extremely complex Operations Research problem. It shows several connections with other problems of operations research and informatics such as stochastic dynamic transportation and facility location problems or metric task systems and more specific k-server problems. Partitions of integers as states of SDDP problems require an enormous amount of storage space for the corresponding computer programs. Investigations of inherent characteristic structures of SDDP problems are also important as a basis for heuristics. Partitions-requirements-matrices (PRMs) (Chapter 4) are matrices of transition probabilities of SDDP problems which are formulated as Markov decision processes. PRMs "in the strict meaning" include optimal decisions of certain reduced SDDP problems, as is shown (in many cases) toward the end of the book. PRMs (in the strict meaning) themselves represent interesting (almost selfevident) combinatorial structures, which are not otherwise found in literature. In order to understand the investigations of this book, previous knowledge about stochastic dynamic Programming and Markov decision processes is useful, however not absolutely necessary since the concerned models are developed from scratch.

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