A Generalized Stochastic Cost–Volume–Profit Model

Hongyan Liang, Alfred L. Guiffrida, Zilong Liu, Butje Eddy Patuwo, Murali Shanker

Research output: Contribution to journalArticlepeer-review


Cost–volume–profit (CVP) analysis is a widely used decision tool across many business disciplines. The current literature on stochastic applications of the CVP model is limited in that the model is studied under the restrictive forms of the Gaussian and Lognormal distributions. In this paper we introduce the Mellin Transform as a methodology to generalize stochastic modeling of the CVP problem. We demonstrate the versatility of using the Mellin transform to model the CVP problem, and present a generalization of the CVP model when the contribution margin and sales volume are both defined by continuous random distributions.
Original languageEnglish (US)
Article number81
Issue number4
StatePublished - Dec 2021


  • Breakeven analysis
  • Mellin transform
  • Stochastic decision making

ASJC Scopus subject areas

  • Software
  • Control and Systems Engineering
  • Modeling and Simulation
  • Computer Networks and Communications
  • Information Systems and Management


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