음이항분포의 모수해석을 통한 조달기간수요 의사결정

Abstract

The majority of papers on probabilistic inventory theory make the assumption that the distribution of lead-time and demand are known, but this is unsupported in many applied situations. In this paper, we present a theoretical support for the adoption of the negative binomial distribution as an appropriate demand distribution in retail inventory management. Used as a mixing distribution for an unknown Poisson demand parameter, the gamma distribution leads to the negative binomial demand. The hyper-parameters of the gamma distribution have different meanings according to the sources of randomness in the Poisson demand parameter. Such two sources are lead time and demand rate. Depending on the sources, we interpret the meanings of the parameters. This paper presents appropriate inventory control interpretation with parameter on fluctuating demand process.