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Optimal production, maintenance, and warranty strategies for item sold with rebate combination warranty

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  • B. C. Giri
  • T Chakraborty

Abstract

In this paper, a decision model is developed for an imperfect production system in which the demand for a product is assumed to be influenced by the warranty period offered to the customer. The production process may shift from an ‘in-control’ state to an ‘out-of-control’ state at any random time at which point non-conforming items are produced. To assess the state of the production process, periodic inspections are carried out during each production run. At the time of inspection, if the process is found to be in the ‘out-of-control’ state then restoration is done; otherwise, preventive maintenance is performed. The proposed model is formulated under a general process shift distribution and a rebate combination warranty. The expected cost per unit item is taken as the criterion for optimality. Some analytical results of the model are derived with restrictions. The optimal decisions (i.e. the optimal number of inspections, the optimal production time, and the optimal warranty period offered to the customer) are obtained numerically and the sensitivity of some model parameters is examined in a numerical example.

Suggested Citation

  • B. C. Giri & T Chakraborty, 2007. "Optimal production, maintenance, and warranty strategies for item sold with rebate combination warranty," Journal of Risk and Reliability, , vol. 221(4), pages 257-264, December.
    • Handle: RePEc:sae:risrel:v:221:y:2007:i:4:p:257-264
    DOI: 10.1243/1748006XJRR54
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    References listed on IDEAS

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    1. V. Padmanabhan & Ram C. Rao, 1993. "Warranty Policy and Extended Service Contracts: Theory and an Application to Automobiles," Marketing Science, INFORMS, vol. 12(3), pages 230-247.
    2. Joseph B. Keller, 1974. "Optimum Checking Schedules for Systems Subject to Random Failure," Management Science, INFORMS, vol. 21(3), pages 256-260, November.
    3. Theodore S. Glickman & Paul D. Berger, 1976. "Optimal Price and Protection Period Decisions for a Product Under Warranty," Management Science, INFORMS, vol. 22(12), pages 1381-1390, August.
    4. Evan L. Porteus, 1986. "Optimal Lot Sizing, Process Quality Improvement and Setup Cost Reduction," Operations Research, INFORMS, vol. 34(1), pages 137-144, February.
    5. M. Hariga & M. Ben‐Daya, 1998. "Note: The economic manufacturing lot‐sizing problem with imperfect production processes: Bounds and optimal solutions," Naval Research Logistics (NRL), John Wiley & Sons, vol. 45(4), pages 423-433, June.
    6. Djamaludin, I. & Murthy, D. N. P. & Wilson, R. J., 1994. "Quality control through lot sizing for items sold with warranty," International Journal of Production Economics, Elsevier, vol. 33(1-3), pages 97-107, January.
    7. Chih‐Hsiung Wang, 2006. "Optimal production and maintenance policy for imperfect production systems," Naval Research Logistics (NRL), John Wiley & Sons, vol. 53(2), pages 151-156, March.
    8. Hau L. Lee & Meir J. Rosenblatt, 1987. "Simultaneous Determination of Production Cycle and Inspection Schedules in a Production System," Management Science, INFORMS, vol. 33(9), pages 1125-1136, September.
    9. R. L. A. Kirch & M. Klein, 1974. "Surveillance Schedules for Medical Examinations," Management Science, INFORMS, vol. 20(10), pages 1403-1409, June.
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