The paper is concerned with the robust control problems for exponential controlled closed queuing networks (CCQNs) under uncertain routing probabilities. As the rows of some parameter matrices such as infinitesimal ge...The paper is concerned with the robust control problems for exponential controlled closed queuing networks (CCQNs) under uncertain routing probabilities. As the rows of some parameter matrices such as infinitesimal generators may be dependent, we first transform the objective vector under discounted-cost criteria into a weighed-average cost. Through the solution to Poisson equation,i.e., Markov performance potentials, we then unify both discounted-cost and average-cost problems to study, and derive the gradient formula of the new objective function with respect to the routing probabilities. Some solution techniques are related for searching the optimal robust control policy.Finally, a numerical example is presented and analyzed.展开更多
文摘The paper is concerned with the robust control problems for exponential controlled closed queuing networks (CCQNs) under uncertain routing probabilities. As the rows of some parameter matrices such as infinitesimal generators may be dependent, we first transform the objective vector under discounted-cost criteria into a weighed-average cost. Through the solution to Poisson equation,i.e., Markov performance potentials, we then unify both discounted-cost and average-cost problems to study, and derive the gradient formula of the new objective function with respect to the routing probabilities. Some solution techniques are related for searching the optimal robust control policy.Finally, a numerical example is presented and analyzed.
