By Dorothea Wagner (auth.), Takao Asano, Shin-ichi Nakano, Yoshio Okamoto, Osamu Watanabe (eds.)

This booklet constitutes the refereed complaints of the twenty second foreign Symposium on Algorithms and Computation, ISAAC 2011, held in Yokohama, Japan in December 2011. The seventy six revised complete papers awarded including invited talks have been conscientiously reviewed and chosen from 187 submissions for inclusion within the booklet. This quantity comprises issues akin to approximation algorithms; computational geometry; computational biology; computational complexity; information constructions; allotted structures; graph algorithms; graph drawing and knowledge visualization; optimization; on-line and streaming algorithms; parallel and exterior reminiscence algorithms; parameterized algorithms; video game idea and net algorithms; randomized algorithms; and string algorithms.

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**Additional resources for Algorithms and Computation: 22nd International Symposium, ISAAC 2011, Yokohama, Japan, December 5-8, 2011. Proceedings**

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Keywords: Routing Scheduling, Open Shop, Flow Shop, Approximation Algorithm. 1 Introduction In the classical scheduling problem, the machines and the jobs are supposed to be situated at the same location, and hence there is no time lags for the machines to process two successive jobs or operations. However, in a generalization of the classical scheduling problem, called routing-scheduling, the jobs are distributed at the vertices of an undirected network and the machines travel between the vertices to process the jobs.

Lemma 3. One can find a mapping φ : J −→ A from junction points to anchors in polynomial time with the following properties: (i) For all j ∈ J, the junction point j lies on the path P (s, φ(j)); (ii) For all a ∈ A, there is at most one junction point j ∈ J with φ(j) = a. s r(S) t(S) S b(S) For every core segment S, let t(S) and b(S) be the top and the bottom junction points in S. Let further r(S) be the highest junction point at distance at most R/2 from t(S) (see Fig. at side). Our algorithm works as follows.

Ibarra, O. ) ISAAC 2009. LNCS, vol. 5878, pp. 994–1003. : Covering points in the plane by k-tours: towards a polynomial time approximation scheme for general k. : Approximation Algorithms for Orienteering and Discounted-Reward TSP. : Improved Algorithms for Orienteering and Related Problems. In: SODA, pp. : Bounds and heuristic for capacitated routing problems. : Capacitated Vehicle Routing on Trees. : Two exact algorithms for the Distance Constrained Vehicle Routing Problem. : On the distance constrained vehicle routing problem.