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Time-dependent and independent control rules for coordinated production and pricing under demand uncertainty and finite planning horizons

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  • Avi Herbon
  • Konstantin Kogan

Abstract

We address the effect of uncertainty on a manufacturer’s dynamic production and pricing decisions over a finite planning horizon. The demand for products, which depends on their price, is characterized by two stochastic processes: potential demand and customer price sensitivity. An optimal policy for coordinating production and pricing is a time-dependent feedback rule with respect to the state of the manufacturer’s inventories. We show that when the volatility of customer sensitivity to the product price is negligible, the optimal policy can be obtained analytically. Moreover, our simulations demonstrate that the volatility of stochastic customer price sensitivity does not have a strong effect on the manufacturer’s expected profit. Therefore, the solution derived for the case of customer price sensitivity with zero volatility can serve as a good approximation heuristic for the optimal policy if the true volatility of customer price sensitivity is within 40 % of its mean and the volatility of potential demand is within 25 % of its mean. Moreover, under these conditions, a simplified, time-independent control rule deteriorates expected profits by only 1.5 %. Copyright Springer Science+Business Media New York 2014

Suggested Citation

  • Avi Herbon & Konstantin Kogan, 2014. "Time-dependent and independent control rules for coordinated production and pricing under demand uncertainty and finite planning horizons," Annals of Operations Research, Springer, vol. 223(1), pages 195-216, December.
    • Handle: RePEc:spr:annopr:v:223:y:2014:i:1:p:195-216:10.1007/s10479-014-1616-4
    DOI: 10.1007/s10479-014-1616-4
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    Cited by:

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    2. Kogan, Konstantin & Chernonog, Tatyana, 2019. "Competition under industry-stock-driven prevailing market price: Environmental consequences and the effect of uncertainty," European Journal of Operational Research, Elsevier, vol. 276(3), pages 929-946.
    3. Avi Herbon & Matan Shnaiderman & Tatyana Chernonog, 2018. "Postponed two-pricing and ordering opportunity for selling a single season inventoried product," Annals of Operations Research, Springer, vol. 271(2), pages 619-640, December.

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