An Agent-Based Approach to the Newsvendor Problem with Price-Dependent Demand
- 1 School of Business, Wake Forest University, Winston-Salem, USA
Abstract
This research presents an agent-based approach to finding near-optimal solutions to the newsvendor problem with price-dependent demand. The classical newsvendor problem is pursued where the decision of order quantity needs to be made in order to maximize expected profit. Here, the additional caveat of price-sensitive demand is included. This means that price ( P ) and order quantity ( Q ) are decision variables under the control of the newsvendor, with the intent of maximizing the expected value of the associated profit. The solution approach exploits an agent-based strategy, where an artificial agent traverses a grid-coordinate system of Price and Quantity values, where each unique Price and Quantity combination results in an expected profit. The agent-based approach consistently results in optimal solutions to a problem from the literature.
- Edgeworth, F.Y. (1888) The Mathematical Theory of Banking. Journal of the Royal Statistical Society, 51, 113-127.
- Schulte, B. and Sachs, A. (2020) The Price-Setting Newsvendor with Poisson Demand. European Journal of Operational Research, 283, 125-137. https://doi.org/10.1016/j.ejor.2019.10.039
- Kocabiyikoglu, A. and Popescu, I. (2011) An Elasticity Approach to the Newsvendor with Price-Sensitive Demand. Operations Research, 59, 301-312. https://doi.org/10.1287/opre.1100.0890
- Kocabiyikoglu, A., Gogus, C.I. and Gonul, M.S. (2016) Decision Making and the Price Setting Newsvendor: Experimental Evidence. Decision Sciences, 47, 157-186. https://doi.org/10.1111/deci.12158
- Petruzzi, N.C. and Dada, M. (1999) Pricing and the Newsvendor Problem: A Review with Extensions. Operations Research, 47, 183-194. https://doi.org/10.1287/opre.47.2.183
- Qin, Y., Wang, R., Vakharia, A., Chen, Y. and Seref, M.H. (2011) The Newsvendor Problem: Review and Directions for Further Research. European Journal of Operational Research, 213, 361-374. https://doi.org/10.1016/j.ejor.2010.11.024
- Gallego, G. and van Ryzin, G. (1994) Optimal Dynamic Pricing of Inventories with Stochastic Demand over Finite Horizons. Management Science, 40, 999-1020. https://doi.org/10.1287/mnsc.40.8.999
- Tarasewich, P. and McMullen, P.R. (2002) Swarm Intelligence: Power in Numbers. Communications of the ACM, 45, 62-67. https://doi.org/10.1145/545151.545152
- Bonabeau, E., Dorigo, M. and Theraulz, G. (1999) Swarm Intelligence: From Natural to Artificial Systems. International Journal of Computer Applications in Technology, 12, 320-328.
- Bonabeau, E., Dorigo, M. and Theraulz, G. (1999) Swarm Intelligence: From Natural to Artificial Systems. Oxford University Press, Oxford.
- Deneubourg, J.-L., Aron, S., Goss, S. and Pasteels, J.-M. (1990) The Self-Organizing Exploratory Pattern of the Argentine Ant. Journal of Insect Behavior, 3, 159-168. https://doi.org/10.1007/BF01417909
- Di Caro, G. and Dorigo, M. (1998) AntNet: Distributed Stigmergetic Control for Communications Networks. Journal of Artificial Intelligence Research, 9, 317-365. https://doi.org/10.1613/jair.530
- Lau, A. and Lau, H. (1988) The Newsboy Problem with Price-Dependent Demand Distribution. IIE Transactions, 20, 168-175. https://doi.org/10.1080/07408178808966166