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Formally, the generalized assignment problem with minimum quantities (GAP- MQ) is defined as follows: Definition 1 (GAP with Minimum Quantities (GAP-MQ)). INSTANCE: m bins with capacities B1,...,Bm ∈ N and minimum quan- tities q1,...,qm ∈ N (where qj ≤ Bj for all j = 1,...,m), and n items.
Here, the problem is to pack a given set of items with sizes that do not depend on the bins so as to maximize the number of bins used, subject to the constraint ...
Oct 8, 2012 · 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 ...
This work considers a variant of the generalized assignment problem where the items have unit size and the amount of space used in each bin is restricted to ...
Jul 29, 2021 · You could try using the greedy heuristic to get an initial solution and then try out one of the many neighborhood-search type metaheuristics.
We consider a variant of the generalized assignment problem (GAP) where the items have unit size and the amount of space used in each bin is restricted to ...
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Jul 4, 2023 · You can solve the problem in practice by formulating it as an instance of integer linear programming, and applying an off-the-shelf ILP solver.
We identify an error in the approximation algorithm for the generalized assignment problem with minimum quantities and unit size items in [1].
The generalized assignment problem (GAP) is that of finding a maximum profit assignment from n tasks to m machines such that each task is assigned to precisely ...
The min-max version of the generalized assignment problem is considered. We introduce relaxations and show that they produce, as sub-problems, min-max ...
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