id: 06088878 dt: j an: 1248.90012 au: Li, Qing; Yu, Peiwen ti: Technical note-on the quasiconcavity of lost-sales inventory models with fixed costs. so: Oper. Res. 60, No. 2, 286-291 (2012). py: 2012 pu: INFORMS, Hanover, MD la: EN cc: 90B05 ut: periodic-review inventory systems; fixed costs; optimal policies; quasiconcavity ci: li: doi:10.1287/opre.1110.1034 ab: Summary: 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. rv: