Production control with backlog-dependent demand

Stanley Gershwin, Bariş Tan and Michael Veatch

IISE Transactions, 2009, vol. 41, issue 6, 511-523

Abstract: A manufacturing firm that builds a product to stock to meet a random demand is studied. Production time is deterministic, so that if there is a backlog, customers are quoted a lead time that is proportional to the backlog. In order to represent the customers' response to waiting, a defection function—the fraction of customers who choose not to order as a function of the quoted lead time—is introduced. Unlike models with backorder costs, the defection function is related to customer behavior. Using a continuous flow control model with linear holding cost and Markov modulated demand, it is shown that the optimal production policy has a hedging point form. The performance of the system under this policy is evaluated, allowing the optimal hedging point to be found.[Supplementary materials are available for this article. Go to the publisher's online edition of IIE Transactions for the following free supplemental resource: Appendix]

Date: 2009
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DOI: 10.1080/07408170801975040

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