We study inventory control involving lost sales and hence censored demand. In a long-run average framework, the demand distribution is largely unknown. As long as the stationary inventory costs are truly convex to the extent that the second lost item costs strictly more than the first lost item,...

We deal with a retailer's multi-product inventory system where customers randomly seek acceptable substitutes if their initial requests are not satisfied. If the substitute is also unavailable, the sales request is lost. Besides the already complex multi-product inventory management problem...