By Joachim Gudmundsson, Jyrki Katajainen
This e-book constitutes the refereed complaints of the thirteenth foreign Symposium on Experimental Algorithms, SEA 2014, held in Copenhagen, Denmark, in June/July 2014.
The 36 revised complete papers awarded including three invited displays have been conscientiously reviewed and chosen from eighty one submissions. The papers are equipped in topical sections on combinatorial optimization, facts constructions, graph drawing, shortest course, strings, graph algorithms and suffix structures.
Read or Download Experimental Algorithms: 13th International Symposium, SEA 2014, Copenhagen, Denmark, June 29 – July 1, 2014. Proceedings PDF
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Extra info for Experimental Algorithms: 13th International Symposium, SEA 2014, Copenhagen, Denmark, June 29 – July 1, 2014. Proceedings
Rosat et al. and Lodi presented results for an algorithm using primal cutting planes and, interestingly, they stated that degeneracy prevented them from solving larger instances. Last but not least, integral simplex methods were ﬁrst proposed for the SPP by Balas and Padberg . They were the ﬁrst to propose an augmenting method, speciﬁc to SPP, that yields a sequence of feasible solutions (xk ) satisfying (H0)– (H2) and also (H3) xk+1 is a neighbor of xk in FP . , every edge of Conv (FP ) is also an edge of its linear relaxation FP .
Aj is the j th column of A, and for any set of columns T and rows U , AU T is the submatrix (Aij )i∈U,j∈T . Moreover, for any optimization program P , FP designates its feasible set. In this paper, we present an eﬃcient and promising primal framework for the solution of P. It combines and extends previous work concerning primal algorithms on the one hand and constraint aggregation on the other hand. J. Gudmundsson and J. ): SEA 2014, LNCS 8504, pp. 22–33, 2014. 2 23 Primal Algorithms As noted by Letchford and Lodi , algorithms for integer programming can be divided into three classes: dual fractional, dual integral, and primal.
Rn1 , where each single resident ri , has a preference list of length l(ri ) consisting of individual hospitals hj ∈ H. Each hospital hj ∈ H has a preference list of individual residents ri ∈ R of length l(hj ). Further, each hospital hj ∈ H has capacity cj ≥ 1, the number of residents with which it may match. Let J be the following IP formulation of I. In J, for each i (1 ≤ i ≤ n1 ) and p (1 ≤ p ≤ l(ri )), deﬁne a variable xi,p such that xi,p = 1 if ri is assigned to their pth choice hospital 0 otherwise.