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Approximate evaluation of continuous review ( R , Q ) policies in two-echelon inventory systems with stochastic transportation times

Abdullah S. Karaman (2017)

Kybernetika

This paper considers a distribution inventory system that consists of a single warehouse and several retailers. Customer demand arrives at the retailers according to a continuous-time renewal process. Material flow between echelons is driven by reorder point/order quantity inventory control policies. Our objective in this setting is to calculate the long-run inventory, backorder and customer service levels. The challenge in this system is to characterize the demand arrival process at the warehouse....

Approximation and estimation in Markov control processes under a discounted criterion

J. Adolfo Minjárez-Sosa (2004)

Kybernetika

We consider a class of discrete-time Markov control processes with Borel state and action spaces, and k -valued i.i.d. disturbances with unknown density ρ . Supposing possibly unbounded costs, we combine suitable density estimation methods of ρ with approximation procedures of the optimal cost function, to show the existence of a sequence { f ^ t } of minimizers converging to an optimal stationary policy f .

Asymptotic properties and optimization of some non-Markovian stochastic processes

Evgueni I. Gordienko, Antonio Garcia, Juan Ruiz de Chavez (2009)

Kybernetika

We study the limit behavior of certain classes of dependent random sequences (processes) which do not possess the Markov property. Assuming these processes depend on a control parameter we show that the optimization of the control can be reduced to a problem of nonlinear optimization. Under certain hypotheses we establish the stability of such optimization problems.

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