We investigate the (S − 1, S) inventory policy under stuttering Poisson demand and generally distributed lead time when the excess demand is lost. We correct results presented in Feeney and Sherbrooke's seminal paper [Feeney, G. J., C. C. Sherbrooke. 1966. The (S − 1, S) inventory policy under compound Poisson demand. Management Sci. 12(5) 391–411] and note that the stationary distribution of units on order for the general compound Poisson demand case is still an open question.
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Chen et al. (2011) studied this question.
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