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Optimal batch production with rework and non-zero setup cost for rework

Haji, B ; Sharif University of Technology

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  1. Type of Document: Article
  2. Abstract:
  3. This paper attempts to develop the optimal solution for an inventoryproblem consisting of a single machine which produces items some of which may bedefective. We assume that no shortages are allowed and all defective items areto be reworked. Setup cost for rework and waiting time of defectives areconsidered. We consider two different policies where in the first policy in eachcycle after the regular production the machine is setup for the rework ofdefectives of the same cycle. In the second policy several cycles constitute aperiod. All the defectives produced in the period are reworked in the last cycleof that period. At the end of the rework cycle the whole process starts allover again. One significant feature of this work is that we do not impose anyrestriction on the length of the period. We derive the total cost function whichincludes the setup cost for rework and regular production, waiting time cost ofdefectives for rework, rework and regular processing costs and holding cost. Wethen derive the optimal solution of the total cost function for the twodifferent policies
  4. Keywords:
  5. Batch production ; Defective items ; Economic production quantity ; Holding costs ; Optimal solutions ; Processing costs ; Rework ; Setup cost ; Single machines ; Total cost function ; Waiting-time ; Whole process ; Cost functions ; Industrial engineering ; Optimal systems ; Optimization ; Costs
  6. Source: 2009 International Conference on Computers and Industrial Engineering, 6 July 2009 through 9 July 2009 ; 2009 , Pages 857-862 ; 9781424441365 (ISBN)
  7. URL: http://ieeexplore.ieee.org/abstract/document/5223505