Debora Mahlke's A Scenario Tree-Based Decomposition for Solving Multistage PDF

By Debora Mahlke

ISBN-10: 3834814091

ISBN-13: 9783834814098

Optimization difficulties related to doubtful info come up in lots of components of commercial and financial functions. Stochastic programming offers an invaluable framework for modeling and fixing optimization difficulties for which a likelihood distribution of the unknown parameters is on the market. stimulated by way of functional optimization difficulties happening in strength structures with regenerative strength offer, Debora Mahlke formulates and analyzes multistage stochastic mixed-integer versions. for his or her answer, the writer proposes a singular decomposition strategy which will depend on the concept that of splitting the underlying state of affairs tree into subtrees. in line with the formulated types from power creation, the set of rules is computationally investigated and the numerical effects are mentioned.

Show description

Read Online or Download A Scenario Tree-Based Decomposition for Solving Multistage Stochastic Programs PDF

Best probability & statistics books

Random Networks for Communication: From Statistical Physics by Massimo Franceschetti PDF

Whilst is a random community (almost) attached? How a lot details can it hold? how will you discover a specific vacation spot in the community? and the way do you technique those questions - and others - whilst the community is random? The research of communique networks calls for a desirable synthesis of random graph thought, stochastic geometry and percolation idea to supply versions for either constitution and knowledge stream.

Probably Not: Future Prediction Using Probability and by Lawrence N. Dworsky PDF

An enticing, wonderful, and informative advent to likelihood and prediction in our daily livesAlthough not really offers with chance and information, it isn't seriously mathematical and isn't jam-packed with complicated derivations, proofs, and theoretical challenge units. This e-book unveils the area of facts via questions similar to what's recognized dependent upon the data handy and what will be anticipated to take place.

Read e-book online Relations, Bounds and Approximations for Order Statistics PDF

Bounds on moments of order records were of curiosity in view that Sir Francis Galton (1902) flrst addressed the matter of really dividing flrst and moment prize funds in a contest. the current compendium of effects represents our attempt to style the plethora of effects into a few semblance of order.

Mathematik für Ingenieure und Naturwissenschaftler Band 2: - download pdf or read online

Die Mathematik als Werkzeug und Hilfsmittel für Ingenieure und Naturwissenschaftler erfordert eine auf deren Bedürfnisse und Anwendungen abgestimmte Darstellung. Verständlichkeit und Anschaulichkeit charakterisieren seit der ersten Auflage 1983 jeden Band des sechsteiligen Werkes. Die Bände ermöglichen einen nahtlosen Übergang von der Schul- zur anwendungsorientierten Hochschulmathematik.

Extra info for A Scenario Tree-Based Decomposition for Solving Multistage Stochastic Programs

Sample text

A further technical parameter is the maximum power gradient Δmax i describing by how much the production level can be increased within one time period. In order to avoid increased thermal stress of a power plant, the parameters θiup and θidown are used denoting the minimum running and the minimum down time, respectively. This means that once a plant starts to operate, it has to keep on running for at least θiup time periods. Analogously, the plant must remain off for at least θidown time periods, once it is turned off.

Here, the efficiency is associated with the ratio of the consumed power and the produced power pit . Concerning a charging unit k ∈ Kj of storage j ∈ J , the function ηjin (sin kt ) is introduced, reflecting the ratio between the consumed electric power sin kt and the converted power to be stored. , having the same efficiency function ηjin . 1: Efficiency of a power plant 22 Chapter 3. Mathematical Modeling the ratio of the power removed from the storage to the discharged power ext out sout lt . Finally, the function ηj (slt ) describes the efficiency corresponding to the ratio of discharged power sout lt and power procured from outside.

2 The S-OPGen Model With the notation described above, we can formulate a multistage stochastic model for our problem. The variables are no longer only assigned to a time step t ∈ T , but also depend on the scenarios of the stochastic process ξ represented by the scenario tree Γ = (N , A). If we use the nonanticipativity condition requiring that a decision in period t may only depend on 36 Chapter 3. Mathematical Modeling realizations of the stochastic data up to t, the variables can carry the node index n ∈ N , instead of index t ∈ T and s ∈ S.

Download PDF sample

A Scenario Tree-Based Decomposition for Solving Multistage Stochastic Programs by Debora Mahlke


by John
4.4

Rated 4.61 of 5 – based on 37 votes