On a multi-product lot scheduling problem subject to an imperfect process with standby modules

Gary C. Lin, Andy Wu, Dah-Chuan Gong, B. Huang, Wen-Na Ma

Research output: Contribution to journalArticleAcademicpeer-review

6 Citations (Scopus)


An Economic Lot Scheduling Problem is considered under the condition that the production process may shift from an in-control state to an out-of-control state due to the deterioration of the facility’s key module. We adopt the Common Cycle policy in two mathematical models depending on whether the key module is repairable or not. Several standby modules are available during a production run. For the model with non-repairable key modules, the active key module, once deteriorated, is disposed of and replaced by a new standby. For the model with repairable key modules, the active one is replaced by a standby as soon as it is deteriorated. The failing module will be restored in a repair shop and rejoin the standbys. The objective is to determine an optimal production cycle time and the economic number of standby modules in order to minimise the long-term average cost including set-up, inventory carrying, standby and defective costs. The convexity of the cost functions is revealed so that efficient algorithms can be developed accordingly to achieve optimal production-inventory policies. It is shown that these policies can be used to significantly improve the system performance.
Original languageEnglish
Pages (from-to)2243-2257
JournalInternational Journal of Production Research
Issue number8
Publication statusPublished - 2014
Externally publishedYes


  • imperfect process
  • standby modules
  • inventory management
  • non-linear programming


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