Digraph description of k-interchange technique for optimization over permutations and adaptive algorithm system

• Autorzy: Levin, M. S.
• Języki publikacji: EN

Abstrakty

EN

The paper describes a general glance to the use of element exchange techniques for optimization over permutations. A multi-level description of problems is proposed which is a fundamental to understand nature and complexity of optimization problems over permutations (e.g., ordering, scheduling, traveling salesman problem). The description is based on permutation neighborhoods of several kinds (e.g., by improvement of an objective function). Our proposed operational digraph and its kinds can be considered as a way to understand convexity and polynomial solvability for combinatorial optimization problems over permutations. Issues of an analysis of problems and a design of hierarchical heuristics are discussed. The discussion leads to a multi-level adaptive algorithm system which analyzes an individual problem and selects / designs a solving strategy (trajectory).

Słowa kluczowe

EN

digraph; optimization; permutation; adaptive algorithm system

• Czasopismo: Foundations of Computing and Decision Sciences
• Rocznik: 2001
• Tom: Vol. 26, No. 3
• Strony: 225-235
• Opis fizyczny: Bibliogr. 16 poz.

Twórcy

autor

Levin, M. S.

• Ben-Gurion University, Beer Sheva, Israel,