A practical, distribution-free approach to the classical newsboy inventory stocking problem for highly right-skewed but otherwise unknown demand distributions

Sukanto Bhattacharya, Renato Alas Martins, Kuldeep Kumar

Research output: Contribution to journalArticleResearchpeer-review

1 Citation (Scopus)

Abstract

The reliable approximation of the demand distributions is critically important for most of the existing solution approaches to the classical newsboy inventory problem. This is rendered especially difficult in the absence of adequate historical sales information especially for newly established businesses. Such approximation, as previous research has shown, is also not entirely hazard-free even for businesses that have a sales history. So a closed-form, distribution-free approach definitely warrants exploration and has indeed been the subject of previous research. However, the distribution-free approaches that currently exist in the literature work optimally in idealized situations where demand distributions are approximately normal. But many real-life business situations; where the newsboy-type inventory model can be relevantly applied; face highly right-skewed demand distributions. We posit a very simple and practical solution approach for the classical newsboy-type inventory stocking problem that is designed for situations where the demand distributions are highly right-skewed but are otherwise totally unknown. To demonstrate its versatility, we give an illustrative sample of Poisson demand distributions which if assumed, yield optimal solutions that agree exactly with our posited approach.

Original languageEnglish
Pages (from-to)291-302
Number of pages12
JournalJournal of Interdisciplinary Mathematics
Volume14
Issue number3
DOIs
Publication statusPublished - Jun 2011

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Distribution-free
Unknown
Sales
Industry
Hazards
Inventory Model
Approximation
Hazard
Siméon Denis Poisson
Closed-form
Optimal Solution
Demand
Face
Demonstrate
Business

Cite this

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A practical, distribution-free approach to the classical newsboy inventory stocking problem for highly right-skewed but otherwise unknown demand distributions. / Bhattacharya, Sukanto; Martins, Renato Alas; Kumar, Kuldeep.

In: Journal of Interdisciplinary Mathematics, Vol. 14, No. 3, 06.2011, p. 291-302.

Research output: Contribution to journalArticleResearchpeer-review

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