Tabu search for the multilevel generalized assignment problem

Article Abstract:

The multilevel generalized assignment problem (MGAP) of task allocation considers agents as capable of performing tasks at more than one efficiency level. This differentiates it from classical generalized assignment problems (GAP). A heuristic approach which uses a novel tabu search (TS) application was developed to solve the MGAP. The TS method's search neighborhoods are defined by ejection chains. The TS method was also effective in solving difficult GAP events.

Author: Laguna, Manuel, Glover, Fred, Kelly, James P., Gonzalez-Velarde, Jose Luis
Models, Production planning

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Tabu search - wellsprings and challenges

Article Abstract:

Tabu search, a method utilized in optimization, sprang into existence from a graduate intelligence course that sought solutions to integer programming problems in the early 1960s. Tabu is a word used by Tongans in Polynesia to indicate things that are sacred and cannot be touched. The fundamental link to the meaning of tabu in tabu search may be the fact that tabus are transmitted by means of a social memory which is subject to modification over time.

Author: Glover, Fred
Operations Research, Methods, Management science, History, Integer programming, Problem solving

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Logic cuts for multilevel generalized assignment problems

Article Abstract:

In the multilevel generalized assignment problem (MGAP) agents can perform tasks at more than one efficiency level. All contiguous 1-cuts for every knapsack in large MGAP's problems are generated and the effects of adding these cuts in the experimental results are reported.

Author: Laguna, Manuel, Osorio, Maria A.
Mathematical logic, Mathematical ability, Symbolic and mathematical logic

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Subjects list: Economic lot size, Analysis
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