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In the basic assignment problem, each agent is assigned to at most one task and each task is assigned to at most one agent. In the many-to-many assignment problem, [10] each agent i may take up to c i tasks (c i is called the agent's capacity), and each task j may be taken by up to d j agents simultaneously (d j is called the task's capacity).
In this sample, the variable x is first declared as an int, and is then assigned the value of 10. Notice that the declaration and assignment occur in the same statement. In the second line, y is declared without an assignment. In the third line, x is reassigned the value of 23.
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In economics, the primary efficiency requirement in house allocation is PE.There are various algorithms attaining a PE allocation in various settings. Probably the simplest algorithm for house allocation is serial dictatorship: the agents are ordered in some arbitrary order (e.g. by seniority), and each agent in turn picks the best remaining house by his/her preferences.
The multidimensional assignment problem (MAP) is a fundamental combinatorial optimization problem which was introduced by William Pierskalla. [1] This problem can be seen as a generalization of the linear assignment problem. [2] In words, the problem can be described as follows: An instance of the problem has a number of agents (i.e ...
Fair random assignment (also called probabilistic one-sided matching) is a kind of a fair division problem. In an assignment problem (also called house-allocation problem or one-sided matching ), there are m objects and they have to be allocated among n agents, such that each agent receives at most one object.
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