Stock Image

New Techniques and Algorithms for Multiobjective and Lexicographic Goal-Based Shortest Path Problems

Francisco J. Pulido Arrebola

ISBN 10: 3668132496 / ISBN 13: 9783668132498
Published by GRIN Verlag Feb 2016, 2016
New Condition: Neu Soft cover
From Agrios-Buch (Bergisch Gladbach, Germany)

AbeBooks Seller Since 11 January 2012

Quantity Available: 1

Buy New
List Price: 58.50
Price: £ 46.02 Convert Currency
Shipping: £ 15.32 From Germany to U.S.A. Destination, Rates & Speeds
Add to basket

About this Item

Neuware - Doctoral Thesis / Dissertation from the year 2015 in the subject Computer Science - Miscellaneous, University of Málaga (University of Málaga), language: English, abstract: Shortest Path Problems (SPP) are one of the most extensively studied problems in the fields of Artificial Intelligence (AI) and Operations Research (OR). It consists in finding the shortest path between two given nodes in a graph such that the sum of the weights of its constituent arcs is minimized. However, real life problems frequently involve the consideration of multiple, and often conflicting, criteria. When multiple objectives must be simultaneously optimized, the concept of a single optimal solution is no longer valid. Instead, a set of efficient or Pareto-optimal solutions define the optimal trade-off between the objectives under consideration. The Multicriteria Search Problem (MSP), or Multiobjective Shortest Path Problem, is the natural extension to the SPP when more than one criterion are considered. The MSP is computationally harder than the single objective one. The number of label expansions can grow exponentially with solution depth, even for the two objective case. However, with the assumption of bounded integer costs and a fixed number of objectives the problem becomes tractable for polynomially sized graphs. Goal programming is one of the most successful Multicriteria Decision Making (MCDM) techniques used in Multicriteria Optimization. In this thesis we explore one of its variants in the MSP. Thus, we aim to solve the Multicriteria Search Problem with lexicographic goal-based preferences. To do so, we build on previous work on algorithm NAMOA_, a successful extension of the A_ algorithm to the multiobjective case. More precisely, we provide a new algorithm called LEXGO_, an exact label-setting algorithm that returns the subset of Pareto optimal paths that satisfy a set of lexicographic goals, or the subset that minimizes deviation from goals if these cannot be fully satisfied. Moreover, LEXGO_ is proved to be admissible and expands only a subset of the labels expanded by an optimal algorithm like NAMOA_, which performs a full Multiobjective Search. This thesis proposes a new technique called t-discarding to speed up dominance checks in the process of discarding new alternatives during the search. The application of t-discarding to the algorithms studied previously, NAMOA_ and LEXGO_, leads to the introduction of two new time-efficient algorithms named NAMOA_dr and LEXGO_dr, respectively. All the algorithmic alternatives are tested in two scenarios, random grids and realistic road maps problems. 196 pp. Englisch. Bookseller Inventory # 9783668132498

Ask Seller a Question

Bibliographic Details

Title: New Techniques and Algorithms for ...

Publisher: GRIN Verlag Feb 2016

Publication Date: 2016

Binding: Taschenbuch

Book Condition:Neu

About this title

Synopsis:

Doctoral Thesis / Dissertation from the year 2015 in the subject Computer Science - Miscellaneous, University of Málaga (University of Málaga), language: English, abstract: Shortest Path Problems (SPP) are one of the most extensively studied problems in the fields of Artificial Intelligence (AI) and Operations Research (OR). It consists in finding the shortest path between two given nodes in a graph such that the sum of the weights of its constituent arcs is minimized. However, real life problems frequently involve the consideration of multiple, and often conflicting, criteria. When multiple objectives must be simultaneously optimized, the concept of a single optimal solution is no longer valid. Instead, a set of efficient or Pareto-optimal solutions define the optimal trade-off between the objectives under consideration. The Multicriteria Search Problem (MSP), or Multiobjective Shortest Path Problem, is the natural extension to the SPP when more than one criterion are considered. The MSP is computationally harder than the single objective one. The number of label expansions can grow exponentially with solution depth, even for the two objective case. However, with the assumption of bounded integer costs and a fixed number of objectives the problem becomes tractable for polynomially sized graphs. Goal programming is one of the most successful Multicriteria Decision Making (MCDM) techniques used in Multicriteria Optimization. In this thesis we explore one of its variants in the MSP. Thus, we aim to solve the Multicriteria Search Problem with lexicographic goal-based preferences. To do so, we build on previous work on algorithm NAMOA∗, a successful extension of the A∗ algorithm to the multiobjective case. More precisely, we provide a new algorithm called LEXGO∗, an exact label-setting algorithm that returns the subset of Pareto optimal paths that satisfy a set of lexicographic goals, or the subset that minimizes deviation from goals if these cannot be fully satisfied

"About this title" may belong to another edition of this title.

Store Description

Visit Seller's Storefront

Terms of Sale:

Allgemeine Geschäftsbedingungen (abebooks.de)

der Firma Agrios Buch- und Medienversand UG e.K. ,Geschäftsführer Ludwig Meier, De-Gasperi-Str. 8, 51469 Bergisch Gladbach nachstehend als Verkäufer bezeichnet.

§ 1 Allgemeines, Begriffsbestimmungen

(1) Der Verkäufer bietet unter dem Nutzernamen Agrios Buch unter der Plattform abebooks.de insbesondere Bücher an. Die folgenden Allgemeinen Geschäftsbedingungen (AGB) gelten für die Geschäftsbeziehung zwischen dem Verkäufer und dem Kunden in ihrer zum Ze...

More Information
Shipping Terms:

Der Versand ins Ausland findet IMMER mit DHL statt. Auch nach Österreich verschicken wir nur mit DHL! Daher Standardversand == Luftpost!


Detailed Seller Information

List this Seller's Books

Payment Methods
accepted by seller

Visa Mastercard American Express

Check PayPal Invoice Bank/Wire Transfer