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Round robin is a procedure for fair item allocation. It can be used to allocate several indivisible items among several people, such that the allocation is "almost" envy-free : each agent believes that the bundle they received is at least as good as the bundle of any other agent, when at most one item is removed from the other bundle.
An allocation minimizes the subsidy iff it minimizes the maximum utility to any agent. Computing such an allocation is NP-hard, and can be solved by the max-product algorithm. When there are two agents, round-robin item allocation with a specific agent ordering finds an allocation that is envy-freeable with subsidy at most V.
Fair item allocation is a kind of the fair division problem in which the items to divide are discrete rather than continuous. The items have to be divided among several partners who potentially value them differently, and each item has to be given as a whole to a single person. [ 1 ]
A Round Robin preemptive scheduling example with quantum=3. Round-robin (RR) is one of the algorithms employed by process and network schedulers in computing. [1] [2] As the term is generally used, time slices (also known as time quanta) [3] are assigned to each process in equal portions and in circular order, handling all processes without priority (also known as cyclic executive).
The max-envy of an allocation is the maximum of the envy among all ordered agent pairs. Suppose the values of all items are normalized to [0,1]. Then, in the offline setting, it is easy to attain an allocation in which the max-envy is at most 1, for example, by the round-robin item allocation (this condition is called EF1
Your final round robin stage will be to pay off the cards completely. When you reach the 10% goal your credit score should be up by at least 30 points and could be up by as much as 70 points.
If envy-freeness is relaxed to proportionality or maximin-share, then similar guarantees can be attained using a polynomial-time algorithm. For groups with additive valuations, a variant of round-robin item allocation can be used to find a 1/3-democratic 1-out-of-best-k allocation.
The round-robin procedure returns a complete EF1 allocation with additive utilities. The envy-graph procedure returns a complete EF1 allocation for arbitrary monotone preference relations. [2] Both are guaranteed to return an allocation with no envy-cycles. However, the allocation is not guaranteed to be Pareto-efficient.