Note: Optimality Conditions for an (s, S) Policy with Proportional and Lump-Sum Penalty Costs

References

• Aneja Y. P., Noori A. H. The optimality of (s, S) policies for a stochastic inventory problem with proportional and lump-sum penalty costs. Management Sci (1997) 33(6):750–755Google Scholar
• Bell P., Hamidi-Noori A. Foreign currency inventory management in a branch bank. J. Oper. Res. Soc. (1984) 35:513–524Google Scholar
• Bertsekas D. P.Dynamic Programming: Deterministic and Stochastic Models (1987) (Prentice-Hall, Englewood Cliffs, NJ) Google Scholar
• Scarf H., Arrow K. J., Karlin S., Suppes P. The optimality of (S, s) policies in the dynamic inventory problem. Mathematical Methods in the Social Sciences (1960) (Stanford University Press, Stanford, CA) Google Scholar
• Shreve S. The optimality of (s, S) policies in the dynamic inventory problem with lost-sales. Dynamic Programming: Deterministic and Stochastic Models (1987) (Prentice-Hall, Englewood Cliffs, NJ) 92–93An abbreviated proof of the optimality of this policy was presented as a problem in D. P. BertsekasGoogle Scholar