Approximation algorithms for multi-dimensional assignment problems with decomposable costs
نویسندگان
چکیده
منابع مشابه
Approximation Algorithms for Multi-Dimensional Assignment Problems with Decomposable Costs
The k-dimensional assignment problem with decomposable costs is formulated as follows. Given is a complete k-partite graph G = (X0 u ... u X,_ I, E), with lXil = p for each i, and a nonnegative length function defined on the edges of G. A clique of G is a subset of vertices meeting each Xi in exactly one vertex. The cost of a clique is a function of the lengths of the edges induced by the cliqu...
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The axial multi-index transportation problem is defined as follows. Given are k sets A,, each set having n, elements, r = 1,. , k. The Cartesian product of the sets A, is denoted by A. To each element a E A a certain cost, c, E R, is associated. Further, a nonnegative demand e,; is associated to each set Ari = {u E A : u(r) = i}. The problem is to find nonnegative real numbers x0 such that each...
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We consider a class of max-profit scheduling problems that occur naturally in many different applications, all involving assignment of jobs to multiple resources under a set of constraints. In the Max-Profit Generalized Assignment Problem (Max-GAP), we are given a set J of m bins (knapsacks), and a set I of n items. Each bin j ∈ J has capacity c(j). Each item i ∈ I has in bin j size `(i, j) and...
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We consider a special class of axial multi-dimensional assignment problems called multidimensional vector assignment (MVA) problems. An instance of the MVA problem is defined by m disjoint sets, each of which contains the same number n of p-dimensional vectors with nonnegative integral components, and a cost function defined on vectors. The cost of an m-tuple of vectors is defined as the cost o...
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ژورنال
عنوان ژورنال: Discrete Applied Mathematics
سال: 1994
ISSN: 0166-218X
DOI: 10.1016/0166-218x(94)90199-6