We show that under a set of conditions, both the maximal profit function and the objective function in several lost-sales inventory models with fixed costs are quasiconcave. Not only is the quasiconcavity property useful computationally, it also leads to a sharper characterization of the optimal policies. Neither the proof of the quasiconcavity property itself nor the proof of the optimal policies by using the property requires the machinery of K-concavity or any of its K-related extensions, and hence they are intuitively appealing. © 2012 INFORMS.
- Fixed costs
- Optimal policies
- Periodic-review inventory systems
ASJC Scopus subject areas
- Computer Science Applications
- Management Science and Operations Research