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Probabilistic analysis. (English) Zbl 0588.90062

Combinatorial optimization, Annot. Bibliogr., Summer Sch. Dublin 1983, 52-88 (1985).
[For the entire collection see Zbl 0547.00052.]
This bibliography concentrates on three types of probabilistic analyses in combinatorial optimization: running time analysis, error analysis and value analysis. Review results are given on problems of finding matchings in graphs, stable sets, colorings, Hamiltonian cycles in random graphs, optimal assignments, shortest traveling salesman tours, location and routing problems in Euclidean space, surveys on the average behavior of variants of the simplex method for linear programming. Results on non- Euclidean packing and covering problems are collected. Finally, branch- and-bound and search techniques for solving hard problems are discussed.
Reviewer: H.T.Lau

MSC:

90C10 Integer programming
90C35 Programming involving graphs or networks
90-02 Research exposition (monographs, survey articles) pertaining to operations research and mathematical programming
05C35 Extremal problems in graph theory
05C70 Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.)
90B10 Deterministic network models in operations research
90B05 Inventory, storage, reservoirs
90C05 Linear programming
90C20 Quadratic programming

Citations:

Zbl 0547.00052