Optimal production and inventory decisions for supply chains with one producer and multiple newsvendors
by Majid M. Aldaihani; M.A. Darwish
International Journal of Services and Operations Management (IJSOM), Vol. 15, No. 4, 2013

Abstract: This paper considers a supply chain with a single manufacturer supplying a newsvendor-type item to multiple retailers (newsvendors). The manufacturer produces the item in batches at a finite rate and ships the output to the retailers. The retailers then have to satisfy a stochastic demand which follows a general probability distribution. The objective is to view the system as an integrated whole and determine the production and shipment schedule which maximises the expected total profit in a selling period. The concavity of the expected total profit function is established, the global optimal solution is derived, and a simple but efficient algorithm is set out. Two special cases are considered, the first of which is for fast-moving items and the other for slow-moving items.

Online publication date: Mon, 28-Apr-2014

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