A comparison of procedures for estimating the parent probability distribution from a given set of fractiles

Article Abstract:

The performance of several different procedures to convert a certain fractile set to a distribution function can have many alternative results. The most accurate results were produced by the linear-function-of-fractiles and Tocher-curve methods. Future extensions of these results are also provided.

United States, Statistical Data Included, Models, Risk assessment, Distributions, Theory of (Functional analysis), Theory of distributions

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Estimating the demand distributions of single-period items having frequent stockouts

Article Abstract:

A demand-distribution scheme for single-period newsboy-type products with frequent stockouts is proposed. The approach manages realistic demand distributions with various shapes and heavily random-censored demand data by compensating for the missing right-hand portion of the empirical demand distribution. Computational experiments show that the methodology is simpler yet faster than existing approaches.

Distribution of goods, Distribution (Commerce)

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The newsstand problem: a capacitated multiple-product single-period inventory problem

Article Abstract:

The standard newsboy problem was extended to accomodate multiple products under a single resource-capacity constraint and multiple resource-capacity constraints. Implementations of the solutions were also performed. The problem, which has the minimization of expected cost with unrestricted demand distributions as its objective function, is common in businesses handling newsboy-type products such as pastries and fashion.

Operations research, Management science, Case studies

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