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Optimality of $$(s,S,p)$$ policy in a general inventory-pricing model with uniform demands. (English) Zbl 1193.90020
Summary: We consider a single-product, periodic-review inventory model, in which pricing and ordering decisions are made simultaneously over finite horizon. Demands follow uniform distributions and depend on the price. Ordering cost includes setup cost and variable cost. We show that an $$(s,S,p)$$ policy is optimal.

##### MSC:
 90B05 Inventory, storage, reservoirs
Full Text:
##### References:
 [1] Chen, Y.; Ray, S.; Song, Y., Optimal pricing and inventory control policy in periodic-review systems with fixed ordering cost and lost sales, Naval research logistics, 53, 2, 117-136, (2006) · Zbl 1106.90008 [2] Chen, X.; Simchi-Levi, D., Coordinating inventory control and pricing strategies with random demand and fixed ordering cost: the finite horizon case, Operations reserach, 52, 6, 887-896, (2004) · Zbl 1165.90308 [3] Chen, X.; Simchi-Levi, D., Coordinating inventory control and pricing strategies with random demand and fixed ordering cost: the infinite horizon case, Mathematics of operations research, 29, 698-723, (2004) · Zbl 1082.90025 [4] Huh, W.T.; Janakiraman, G., $$(s, S)$$ optimality in joint inventory-pring control: an alternate approach, Operations research, 56, 3, 783-790, (2008) · Zbl 1167.90332 [5] Janakiraman, G.; John, A., Muckstadt inventory control in directed networks: a note on linear costs, Operations reserach, 56, 3, 491-495, (2004) · Zbl 1165.90321 [6] Porteus, E., The optimality of generalized $$(s, S)$$ policies under uniform demand densities, Management science, 18, 11, 644-646, (1972) · Zbl 0264.90015 [7] Porteus, E., Foundations of stochastic inventory theory, (2002), Stanford University Press Stanford, CA [8] Song, Y.; Ray, S.; Boyaci, T., Optimal dynamic joint inventory-pricing control for multiplicative demand with fixed order costs and lost sales, Operations reserach, 57, 245-250, (2009) · Zbl 1181.90024
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