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We consider in this paper a discrete-time deterministic m-ary diffusion model over a strongly connected directed graph. The update rule is easy to state: let the vertices of the graph represent the agents and the edges represent the information flow; at every time step, each vertex updates its value to the maximum value held by its incoming neighbors at the last time step. The resulting system, defined...
We consider in this paper a networked system of opinion dynamics in continuous time, where the agents are able to evaluate their self-appraisals in a distributed way. In the model we formulate, the underlying network topology is described by a strongly connected graph. For each ordered pair of adjacent agents (i, j), we assign a function of self-appraisal to agent i, which measures the level of importance...
Creation and sustenance of long-term relationships with their customers is a key success factor in make-to-order manufacturing firms. In order to achieve both maximum cumulative profit and long-term profitable customer relationships, we integrate customer value into order acceptance decision. Then we use linear programming to model the order acceptance problem, and solve it with reinforcement learning...
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