Title: Conservative profitability evaluation for a newsboy-type product based on achievable capacity index

Authors: Rung-Hung Su; Chia-Huang Wu; Dong-Yuh Yang

Addresses: Department of Statistics and Information Sciences, Fu Jen Catholic University, 510 Zhongzheng Rd., Xinzhuang Dist., New Taipei City, 24205, Taiwan ' Department of Industrial Engineering and Management, National Chiao Tung University, 1001 University Rd., Hsinchu, 30010, Taiwan ' Institute of Information and Decision Sciences, National Taipei University of Business, 321, Sec. 1, Jinan Rd., Zhongzheng Dist., Taipei City, 10051, Taiwan

Abstract: The achievable capacity index (ACI) can measure the profitability of a newsboy-type product with probabilistic distributed demand. This criterion has been employed to deal with the problem of profitability evaluation by implementing statistical hypothesis testing. However, due to sampling errors, the point estimate of ACI probably overestimates the profitability. To this end, we derive a lower confidence bound of ACI (LCBA) to give a conservative evaluation of profitability. Since the complex sampling distribution of ACI makes it difficult to obtain an explicit closed-form expression of LCBA, we characterise the relationship between LCBA and estimator of ACI under given confidence level and sample size. A computational algorithm is proposed to obtain LCBA. Extensive numerical results of LCBA for various sample sizes, confidence levels and estimates are tabulated. Finally, we illustrate the practicality and applicability of the proposed method in an application example. Some managerial insights are also discussed. [Received: 21 May 2019; Accepted: 7 April 2020]

Keywords: achievable capacity index; ACI; conservative profitability evaluation; lower confidence bound; newsboy problem.

DOI: 10.1504/EJIE.2021.114014

European Journal of Industrial Engineering, 2021 Vol.15 No.2, pp.250 - 272

Received: 21 May 2019
Accepted: 07 Apr 2020
Published online: 06 Apr 2021 *

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