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Dynamic Lot Sizing problem and its variations has been widely used for the scheduling of the productions and inventories. When demands are uncertain, one can use the mean of historical data or the expected value, which is a point estimate of demand. In addition to the mean, this work considers another point estimate, which is called median. We show that the total backorders, as the result of capacity limitation and uncertain demand, can be lower when median is used instead of the mean. It is shown that for an asymmetric distribution, the total backorder is lower significantly when median is used. Furthermore, when demand follows a symmetric distribution, the total backorder do not differ significantly between the two point estimates. 

Exploring dark matter via observations of extreme astrophysical environments -- defined here as heavy compact objects such as white dwarfs, neutron stars, and black holes, as well as supernovae and compact object merger events -- has been a major field of growth since the last Snowmass process. Theoretical work has highlighted the utility of current and near-future observatories to constrain novel dark matter parameter space across the full mass range. This includes gravitational wave instruments and observatories spanning the electromagnetic spectrum, from radio to gamma-rays. While recent searches already provide leading sensitivity to various dark matter models, this work also highlights the need for theoretical astrophysics research to better constrain the properties of these extreme astrophysical systems. The unique potential of these search signatures to probe dark matter adds motivation to proposed next-generation astronomical and gravitational wave instruments. Note: Contribution to Snowmass 2021 -- CF3. Dark Matter: Cosmic Probes