By T-H. Hubert Chan, Minming Li, Lusheng Wang

ISBN-10: 3319487485

ISBN-13: 9783319487489

ISBN-10: 3319487493

ISBN-13: 9783319487496

This ebook constitutes the refereed court cases of the tenth overseas convention on Combinatorial Optimization and purposes, COCOA 2016, held in Hong Kong, China, in December 2016.

The 60 complete papers integrated within the e-book have been conscientiously reviewed and chosen from 122 submissions. The papers are prepared in topical sections akin to graph concept, geometric optimization, complexity and knowledge constitution, combinatorial optimization, and miscellaneous.

**Read or Download Combinatorial Optimization and Applications: 10th International Conference, COCOA 2016, Hong Kong, China, December 16–18, 2016, Proceedings PDF**

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**Additional resources for Combinatorial Optimization and Applications: 10th International Conference, COCOA 2016, Hong Kong, China, December 16–18, 2016, Proceedings **

**Example text**

6) 38 X. You et al. Deﬁnition 5 (Closeness Centrality of Time). Closeness Centrality of Time of a node u (CCTu ) is the sum of the average time needed on SP T (u, v) (spt(u, v)) for v among all the other nodes and the ground transportation time. More formally, spt(u, v) CCTu = v∈V ∧v=u |V | − 1 + tu . (7) Deﬁnition 6 (Closeness Centrality of Budget). Closeness Centrality of Time of a node u (CCBu ) is the sum of the average budget needed on SP B(u, v) (spb(u, v)) for v among all the other nodes and the ground transportation budget.

For each integer i in {1, 2}, let Pi be the directed path obtained by removing ai from Li . Then, for every integer i in {1, 2}, we have i (Pi ) = 0. This completes the proof. 2 Integral Supplies and Sink Capacities Here we consider problems of ﬁnding an integral allocation of supplies and sink capacities. We consider Integral Mixed Evacuation with Arc Capacities (imeac for short) deﬁned as follows. We are given vectors w1 , w2 ∈ ZA + such that w1 (a) + w2 (a) ≤ c(a) for every arc a in A. Then, the goal is to decide whether there exists a feasible assignment (d1 , d2 , w1 , w2 ) such that d1 , d2 ∈ ZS∪T .

We prepare two scenarios. The ﬁrst one is that people should have to evacuate to the outside of the inundation area. The second is that people should have to evacuate to the outside of the inundation area or to tsunami evacuation buildings located inside of the inundation area. There exist six evacuation buildings inside the inundation area (numbered from 1 through 6 in the right ﬁgure of Fig. , the maximum number of evacuees that can be accommodated) are 1472, 2000, 1128, 3014, 654 and 454, respectively.

### Combinatorial Optimization and Applications: 10th International Conference, COCOA 2016, Hong Kong, China, December 16–18, 2016, Proceedings by T-H. Hubert Chan, Minming Li, Lusheng Wang

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