Browsing by Subject "Discrete time Markov chains"

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    Near-optimal modified base stock policies for the capacitated inventory problem with stochastic demand and fixed cost
    (World Scientific Publishing, 2014) Özener, O. Ö.; Güllü, R.; Erkip, N.
    In this study, we investigate a single-item, periodic-review inventory problem where the production capacity is limited and unmet demand is backordered. We assume that customer demand in each period is a stationary, discrete random variable. Linear holding and backorder cost are charged per unit at the end of a period. In addition to the variable cost charged per unit ordered, a positive fixed ordering cost is incurred with each order given. The optimization criterion is the minimization of the expected cost per period over a planning horizon. We investigate the infinite horizon problem by modeling the problem as a discrete-time Markov chain. We propose a heuristic for the problem based on a particular solution of this stationary model, and conduct a computational study on a set of instances, providing insight on the performance of the heuristic.