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We present a new way to solve the “lot-sizing” problem viewed as a stochastic noncooperative resource contention game. We develop a Stochastic Flow Model (SFM) for polling systems with non-negligible changeover times enabling us to formulate lot sizing as an optimization problem without imposing constraints on the distributional characteristics of the random processes in the system. Using Infinitesimal...
In this paper, a class of non-cooperative games termed resource contention games is studied, modeled through multi-class Stochastic Flow Models (SFMs). We contrast the solutions between system-centric and user-centric optimization in this game setting, and illustrate the gap between the two solutions, which is commonly referred to as the “price of anarchy.”
Stochastic flow models (SFMs) are stochastic hybrid systems that abstract the dynamics of complex discrete event systems involving the control of sharable resources. SFMs have been used to date to study systems with a single user class or some multiclass settings in which performance metrics are not class-dependent. In this paper, we develop a SFM framework for multiple classes and class-dependent...
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