NDLI: An Algorithm for the Generalized Assignment Problem with Special Ordered Sets

Content Provider	Springer Nature Link
Author	Wilson, John M.
Copyright Year	2005
Abstract	The generalized assignment problem (GAP), the 0–1 integer programming (IP) problem of assigning a set of n items to a set of m knapsacks, where each item must be assigned to exactly one knapsack and there are constraints on the availability of resources for item assignment, has been further generalized recently to include cases where items may be shared by a pair of adjacent knapsacks. This problem is termed the generalized assignment problem with special ordered sets of type 2 (GAPS2). For reasonably large values of m and n the NP-hard combinatorial problem GAPS2 becomes intractable for standard IP software, hence there is a need for the development of heuristic algorithms to solve such problems. It will be shown how a heuristic algorithm developed previously for the GAP problem can be modified and extended to solve GAPS2. Encouraging results, in terms of speed and accuracy, have been achieved.
Starting Page	337
Ending Page	350
Page Count	14
File Format	PDF
ISSN	13811231
Journal	Journal of Heuristics
Volume Number	11
Issue Number	4
e-ISSN	15729397
Language	English
Publisher	Kluwer Academic Publishers
Publisher Date	2005-01-01
Publisher Place	Boston
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	assignment generalized assignment heuristics special ordered sets Artificial Intelligence (incl. Robotics) Calculus of Variations and Optimal Control Optimization Operations Research, Mathematical Programming Operations Research/Decision Theory
Content Type	Text
Resource Type	Article
Subject	Control and Optimization Artificial Intelligence Management Science and Operations Research Computer Networks and Communications Information Systems Software

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