Non-stationary inventory position processes

C. S. Sung

Stochastic Processes and their Applications, 1983, vol. 15, issue 1, 83-91

Abstract: This paper investigates single-product non-stationary inventory problems associated with non-stationary demand processes, backorders allowed, stochastically independent inter-review-period demands, and review periods not necessarily of equal length. Sufficient conditions are obtained for the convergence in distribution of inventory positions in inventory systems; in particular, the uniform long-run distribution is found robust in systems for a large class of demand processes. It is also shown that in systems the subsequences of cyclic non-stationary inventory position process associated with cyclic behavior of demand patterns converge in distribution.

Date: 1983
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