An Analysis of Binomial Yield Production Process considering Salvage Value

Abstract

We study how to determine the optimal lot size in a production process with binomial yield. First, we review the precedent studies in binomial yield production processes in inventory management literature. In results, an extended new model is presented to consider salvage values for leftover inventories. We initially formulate it as a discrete (unconstrained) optimization model, and then convert it as a corresponding continuous (unconstrained) optimization model by the normal approximation. Finally, we prove the concavity of the model, and examine the impact of salvage value on the optimal lot size. All of these analytical results are also confirmed computationally with the numerical examples generated by Monte Carlo simulation.