On Approximation Methods for the Assignment Problem

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Signature Methods for the Assignment Problem

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Approximation Methods for Solving the Equitable Location Problem with Probabilistic Customer Behavior

Location-allocation of facilities in service systems is an essential factor of their performance. One of the considerable situations which less addressed in the relevant literature is to balance service among customers in addition to minimize location-allocation costs. This is an important issue, especially in the public sector. Reviewing the recent researches in this field shows that most of t...

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Tight Approximation Bounds for the Seminar Assignment Problem

The seminar assignment problem is a variant of the generalized assignment problem in which items have unit size and the amount of space allowed in each bin is restricted to an arbitrary set of values. The problem has been shown to be NP-complete and to not admit a PTAS. However, the only constant factor approximation algorithm known to date is randomized and it is not guaranteed to always produ...

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An approximation algorithm for the generalized assignment problem

The generalized assignment problem can be viewed as the following problem of scheduling parallel machines with costs. Each job is to be processed by exactly one machine; processing job j on machine i requires time pif and incurs a cost of c,f, each machine / is available for 7", t ime units, and the objective is.t»minimize the total cost incurred. Our main result is as follows. There is a polyn...

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ژورنال

عنوان ژورنال: Journal of the ACM

سال: 1962

ISSN: 0004-5411,1557-735X

DOI: 10.1145/321138.321140