Production planning and pricing policy in a make-to-stock system with uncertain demand subject to machine breakdowns

Xiutian Shi, Houcai Shen, Ting Wu, Edwin Tai Chiu Cheng

Research output: Journal article publicationJournal articleAcademic researchpeer-review

16 Citations (Scopus)


We consider a make-to-stock system served by an unreliable machine that produces one type of product, which is sold to customers at one of two possible prices depending on the inventory level at the time when a customer arrives (i.e., the decision point). The system manager must determine the production level and selling price at each decision point. We first show that the optimal production and pricing policy is a threshold control, which is characterized by three threshold parameters under both the long-run discounted profit and long-run average profit criteria. We then establish the structural relationships among the three threshold parameters that production is off when inventory is above the threshold, and that the optimal selling price should be low when inventory is above the threshold under the scenario where the machine is down or up. Finally we provide some numerical examples to illustrate the analytical results and gain additional insights.
Original languageEnglish
Pages (from-to)122-129
Number of pages8
JournalEuropean Journal of Operational Research
Issue number1
Publication statusPublished - 1 Oct 2014


  • Dynamic pricing
  • Inventory control
  • Machine breakdown
  • Production planning
  • Uncertain demand

ASJC Scopus subject areas

  • Modelling and Simulation
  • Management Science and Operations Research
  • Information Systems and Management

Cite this