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On the expression for expected customer choice probabilities

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Abstract

Alfandari, Denoyel and Thiele [Annals of Operations Research, 292, 2020, 553-573] expressed an expected customer choice probability as a sum of two integrals. We show that the integrals can be simplified in terms of a well known function. We also give a Maple code for computing the expected customer choice probability.

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References

  • Alfandari, L., Denoyel, V., & Thiele, A. (2020). Solving utility-maximization selection problems with Multinomial Logit demand: Is the First-Choice model a good approximation? Annals of Operations Research, 292, 553–573.

  • Gradshteyn, I. S., & Ryzhik, I. M. (2014). Tables of Integrals, Series and Products (8th ed.). New York: Academic Press.

  • Prudnikov, A. P., Brychkov, Y. A., & Marichev, O. I. (1986). Integrals and Series, volumes 1, 2 and 3. Amsterdam: Gordon and Breach Science Publishers.

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Acknowledgements

The authors would like to thank the Editor and the referee for careful reading and comments which improved the paper.

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Authors and Affiliations

  1. Department of Mathematics, University of Manchester, Manchester M13 9PL, Manchester, UK

    Saralees Nadarajah

  2. Department of Mathematics and Statistics, American University of Sharjah, Sharjah, UAE

    Stephen Chan

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  1. Saralees Nadarajah
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  2. Stephen Chan
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Correspondence to Stephen Chan.

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Nadarajah, S., Chan, S. On the expression for expected customer choice probabilities. Ann Oper Res 307, 499–502 (2021). https://doi.org/10.1007/s10479-021-04260-4

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  • DOI: https://doi.org/10.1007/s10479-021-04260-4

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