Reducing the elastic generalized assignment problem to the standard generalized assignment problem
نویسندگان
چکیده
منابع مشابه
The Generalized Quadratic Assignment Problem
We study a generalization of the quadratic assignment problem (QAP) by allowing multiple equipments to be assigned at a single location as long as resources at the location permit. This problem arises in many real world applications such as facility location problem and logistics network design. We call the problem as the generalized quadratic assignment problem (GQAP) and show that this relaxa...
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We consider a variant of the generalized assignment problem (GAP) where the amount of space used in each bin is restricted to be either zero (if the bin is not opened) or above a given lower bound (aminimum quantity). We provide several complexity results for different versions of the problem and give polynomial time exact algorithms and approximation algorithms for restricted cases. For the mo...
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We present a 1 − 1 √ k -competitive algorithm for the online stochastic generalized assignment problem under the assumption that no item takes up more than 1 k fraction of the capacity of any bin. Items arrive online; each item has a value and a size; upon arrival, an item can be placed in a bin or discarded; the objective is to maximize the total value of the placement. Both value and size of ...
متن کاملThe Generalized Assignment Problem and Its Generalizations
The generalized assignment problem is a classical combinatorial optimization problem that models a variety of real world applications including flexible manufacturing systems [6], facility location [11] and vehicle routing problems [2]. Given n jobs J = {1, 2, . . . , n} and m agents I = {1, 2, . . . ,m}, the goal is to determine a minimum cost assignment subject to assigning each job to exactl...
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This paper is concerned with solving GQAPs (generalized quadratic assignment problems) to optimality. In these problems, given M facilities and N locations, the facility space requirements, the location available space, the facility installation costs, the flows between facilities, and the distance costs between locations, one must assign each facility to exactly one location so that each locat...
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ژورنال
عنوان ژورنال: Journal of the Operational Research Society
سال: 2010
ISSN: 0160-5682,1476-9360
DOI: 10.1057/jors.2009.108