Skip to main content

Advertisement

Log in

A goal programming approach for multi-objective warranty optimization

  • Original Article
  • Published:
International Journal of System Assurance Engineering and Management Aims and scope Submit manuscript

Abstract

Due to severe competition in the market, a manufacturer may need to redesign the product warranty so as to get an edge over the competitors. However, to be able to do that, a systematic approach is required that allows one to consider multiple objectives. In this paper, a multi-objective optimization approach is presented considering warranty type, warranty duration, component alternatives and support level as decision variables. The multiple-objectives are in the form of targets to be achieved for warranty attractiveness index, warranty cost, spare parts cost to the end user over the useful life of the product and mean time between failures. In this paper a weighted goal programming approach for solving this problem is presented, where the weights are derived for the different objectives using the criteria importance through intercriteria correlation method and the objective function is formulated using the loss function approach. The warranty optimization approach is illustrated using a real life example of an automobile engine manufacturer and is solved using a multi-objective genetic algorithm with elitism strategy.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2

Similar content being viewed by others

References

  • Ambad PM, Kulkarni MS (2013) A methodology for design for warranty with focus on reliability and warranty policies. J Adv Manag Res 10(1):139–155

    Article  Google Scholar 

  • Ambad PM, Kulkarni MS (2015a) An attractiveness index based approach for warranty optimization. Int J Qual Reliab Manag 32(4):415–431

    Article  Google Scholar 

  • Ambad PM, Kulkarni MS (2015b) A warranty based bilateral multi-issue negotiation approach. Benchmark Int J 22(7):1247–1280

    Article  Google Scholar 

  • Anderson EE (1977) Product price and warranty terms: an optimization model. Oper Res Q 28(3):739–741

    Article  MATH  Google Scholar 

  • Bakirtzis AG, Biskas PN, Zoumas CE, Petridis V (2002) Optimal power flow by enhanced genetic algorithm. IEEE Trans Power Syst 17(2):229–236

    Article  Google Scholar 

  • Blischke WR, Murthy DNP (1994) Warranty cost analysis. Marcel Dekker Inc, New York

    MATH  Google Scholar 

  • Chattopadhyay G, Murthy DNP (2004) Optimal reliability improvement for used items sold with warranty. Int J Reliab Appl 5(2):47–58

    Google Scholar 

  • Cus F, Balic J (2003) Optimization of cutting process by GA approach. Robot Comput Integr Manuf 19(1):113–121

    Article  Google Scholar 

  • Deb K (1999) Solving goal programming problems using multi-objective genetic algorithms. In: 1999 Congress on evolutionary computation, Washington, DC, July 1999. IEEE Service Center, pp 77–84

  • Deb K (2001) Nonlinear goal programming using multi-objective genetic algorithms. J Oper Res Soc 52(3):291–302

    Article  MATH  MathSciNet  Google Scholar 

  • DeCroix GA (1999) Optimal warranties, reliabilities and prices for durable goods in an oligopoly. Eur J Oper Res 112(3):554–569

    Article  MATH  Google Scholar 

  • Diakoulaki D, Mavrotas G, Papayannakis L (1995) Determining objective weights in multiple criteria problems: the CRITIC method. Comput Oper Res 22(7):763–770

    Article  MATH  Google Scholar 

  • Fang CC, Huang YS (2010) A study on decisions of warranty, pricing, and production with insufficient information. Comput Ind Eng 59(2):241–250

    Article  Google Scholar 

  • Gandara A, Rich MD (1977) Reliability improvement warranties for military procurement. Report No. R-2264-AF, Rand Corp, Santa Monica

  • Glickman TS, Berger PD (1976) Optimal price and protection period for a product under warranty. Manag Sci 22(12):1381–1390

    Article  Google Scholar 

  • Goldberg DE (1989) Genetic algorithms in search, optimization and machine learning. Addison-Wesley, Boston

    MATH  Google Scholar 

  • Hu CF, Teng CJ, Li SY (2007) A fuzzy goal programming approach to multi-objective optimization problem with priorities. Eur J Oper Res 176(3):1319–1333

    Article  MATH  MathSciNet  Google Scholar 

  • Huang HZ, Liu ZJ, Murthy DNP (2007) Optimal reliability, warranty and price for new products. IIE Trans 39(8):819–827

    Article  Google Scholar 

  • Jack N, Murthy DNP (2004) Warranty servicing strategies to improve customer satisfaction. IMA J Manag Math 15(2):111–124

    Article  MATH  MathSciNet  Google Scholar 

  • Jalal Naini SG, Shafiee M (2011) Joint determination of price and upgrade level for a warranted second-hand product. Int J Adv Manuf Technol 54(9–12):1187–1198

    Article  Google Scholar 

  • Javadi B, Rahimi-Vahed A, Rabbani M, Dangchi M (2008) Solving a multi-objective mixed-model assembly line sequencing problem by a fuzzy goal programming approach. Int J Adv Manuf Technol 39(9–10):975–998

    Article  Google Scholar 

  • Jeyakumar K, Robert Paul T (2010) Joint determination of price, warranty length and production quantity for new products under free renewal warranty policy. Int J Qual Res 4(1):51–58

    Google Scholar 

  • Jones D, Mirrazavi SK, Tamiz M (2002) Multi-objective meta-heuristics: an overview of the current state-of-the-art. Eur J Oper Res 137(1):1–9

    Article  MATH  Google Scholar 

  • Kececioglu D (1991) Reliability engineering handbook, vol 1. Prentice-Hall, Inc, Upper Saddle River

    MATH  Google Scholar 

  • Kim B, Park S (2008) Optimal pricing, EOL (end of life) warranty, and spare parts manufacturing strategy amid product transition. Eur J Oper Res 188(3):723–745

    Article  MATH  MathSciNet  Google Scholar 

  • Kleyner A, Sandborn P (2008) Minimizing life cycle cost by managing product reliability via validation plan and warranty return cost. Int J Prod Econ 112(2):796–807

    Article  Google Scholar 

  • Lassar WM, Folkes VS, Grewal D, Costley C (1998) Consumer affective reactions to product problems when the timing of warranty expiration varies. J Bus Res 42(3):265–270

    Article  Google Scholar 

  • Lin PC, Wang J, Chin SS (2009) Dynamic optimisation of price, warranty length and production rate. Int J Syst Sci 40(4):411–420

    Article  MATH  MathSciNet  Google Scholar 

  • Liu ZJ, Huang HZ, Murthy DNP (2006) Optimal reliability and price choices for products under warranty. In: Annual reliability and maintainability symposium, Newport Beach, CA, 2006, pp 146–151

  • Mahdavi I, Javadi B, Sahebjamnia N, Mahdavi-Amiri N (2009) A two-phase linear programming methodology for fuzzy multi-objective mixed-model assembly line problem. Int J Adv Manuf Technol 44(9–10):1010–1023

    Article  Google Scholar 

  • Majeske KD, Herrin GD (1998) Determining warranty benefits for automobile design changes. In: Proceedings of the annual reliability and maintainability symposium, Anaheim, CA, pp 94–99

  • Manna DK (2008) Price-warranty length decision with Glickman–Berger model. Int J Reliab Saf 2(3):221–233

    Article  Google Scholar 

  • Manna DK, Pal S, Sinha S (2006) Optimal determination of warranty region for 2D policy: a customers’ perspective. Comput Ind Eng 50(1–2):161–174

    Article  Google Scholar 

  • Maronick TJ (2007) Consumer perceptions of extended warranties. J Retail Consum Serv 14(3):224–231

    Article  Google Scholar 

  • Mathew TW (2012) Genetic algorithm. http://www.civil.iitb.ac.in/tvm/2701_dga/2701-ga-notes/gadoc.pdf. Accessed on 10 Jan 2012

  • Matis T, Jayaraman R, Rangan A (2008) Optimal price and pro rata decisions for combined warranty policies with different repair options. IIE Trans 40(10):984–991

    Article  Google Scholar 

  • Mitra A, Patankar JG (1988) Warranty cost estimation: a goal programming approach. Dec Sci 19(2):409–423

    Article  Google Scholar 

  • Mitra A, Patankar JG (1993) An integrated multicriteria model for warranty cost estimation and production. IEEE Trans Eng Manag 40(3):300–311

    Article  Google Scholar 

  • Mohan K, Huffman D, Akers J (2009) Optimization of warranty period, price, and allocated reliability. In: Proceedings of annual reliability and maintainability symposium, Fort Worth, Texas, USA, pp 483–488

  • Monga A, Zuo M (1998) Optimal system design considering maintenance and warranty. Comput Oper Res 25(9):691–705

    Article  MATH  Google Scholar 

  • Noll J (2004) Comparing quality signals as tools of consumer protection: are warranties always better than advertisements to promote higher product quality? Int Rev Law Econ 24(2):227–239

    Article  Google Scholar 

  • Padmanabhan V, Rao RC (1993) Warranty policy and extended service contracts: theory and an application to automobiles. Mark Sci 12(3):230–248

    Article  Google Scholar 

  • Painton L, Campbell J (1995) Genetic algorithms in optimization of system reliability. IEEE Trans Reliab 44(2):172–178

    Article  Google Scholar 

  • Patankar JG, Mitra A (1989) A multi-objective model for warranty cost estimation using multiple products. Comput Oper Res 16(4):341–351

    Article  Google Scholar 

  • Price LJ, Dawar N (2002) The joint effects of brands and warranties in signaling new product quality. J Econ Psychol 23(2):165–190

    Article  Google Scholar 

  • Ross PJ (2005) Taguchi techniques for quality engineering. Tata McGraw Hill Publishing Company Limited, New Delhi

    Google Scholar 

  • Saidi-Mehrabad M, Noorossana R, Shafiee M (2010) Modeling and analysis of effective ways for improving the reliability of second-hand products sold with warranty. Int J Adv Manuf Technol 46(1–4):253–265

    Article  Google Scholar 

  • Shafiee M, Chukova S, Yun WY, Niaki STA (2011) On the investment in a reliability improvement program for warranted second-hand items. IIE Trans 43(7):525–534

    Article  Google Scholar 

  • Taguchi G, Elsayed EA, Hsiang TC (1989) Quality engineering in production systems. McGraw Hill Company, New York

    Google Scholar 

  • Thomas MU (1983) Optimum warranty policies for non-repairable items. IEEE Trans Reliab R-32(3):282–288

    Article  MATH  Google Scholar 

  • Torell W, Avelar V (2004) Mean time between failure: explanation and standards. APC White Paper 78

  • Wang Z, Huang HZ, Du X (2010) Optimal design accounting for reliability, maintenance and warranty. J Mech Des 132(1):1–8

    Article  Google Scholar 

  • Wu CC, Lin PC, Chou CY (2006) Determination of price and warranty length for a normal lifetime distributed product. Int J Prod Econ 102(1):95–107

    Article  Google Scholar 

  • Wu CC, Chou CY, Huang C (2009) Optimal price, warranty length and production rate for free replacement policy in the static demand market. Omega 37(1):29–39

    Article  Google Scholar 

  • Yang G, Zaghati Z (2002) Two-dimensional reliability modeling from warranty data. In: Proceedings annual reliability and maintainability symposium, Seattle, WA, USA, pp 272–278

  • Zhou Z, Li Y, Tang K (2009) Dynamic pricing and warranty policies for product with fixed lifetime. Eur J Oper Res 196(3):940–948

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Prashant M. Ambad.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Ambad, P.M., Kulkarni, M.S. A goal programming approach for multi-objective warranty optimization. Int J Syst Assur Eng Manag 8, 842–861 (2017). https://doi.org/10.1007/s13198-017-0674-9

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s13198-017-0674-9

Keywords

Navigation