English

An inventory model for group-buying auction

Optimization and Control 2012-12-17 v1 Computer Science and Game Theory Probability

Abstract

Group-buying auction has become a popular marketing strategy in the last decade. In this paper, a stochastic model is developed for an inventory system subjects to demands from group-buying auctions. The model discussed here takes into the account of the costs of inventory, transportation, dispatching and re-order as well as the penalty cost of non-successful auctions. Since a new cycle begins whenever there is a replenishment of products, the long-run average costs of the model can be obtained by using the renewal theory. A closed form solution of the optimal replenishment quantity is also derived.

Keywords

Cite

@article{arxiv.1212.3541,
  title  = {An inventory model for group-buying auction},
  author = {Allen H. Tai},
  journal= {arXiv preprint arXiv:1212.3541},
  year   = {2012}
}
R2 v1 2026-06-21T22:54:40.962Z