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We consider an extension to the lost sale recapture model in a newsvendor framework developed earlier by the authors. As in real practice, we have considered that there may be an opportunity to backlog the lost sales, by offering some incentive for waiting. The back log fill rate is modelled as a log function of adding one to the proportion of rebate relative to the price. The retailer’s decision includes selling price, order quantity and the rebate that will maximize its expected profit. Sensitivities of the demand errors in the form of beta distribution rather than the uniform and the normal distribution serve as an extension to the previous work by the authors.

Newsboy problem with lost sales recapture as function of          p r m log 1 and normally distributed demand error