References
1. Chen, C.-K., Lo, C.-C., and Weng, T.-C. Optimal
production run length and warranty period for an
imperfect production system under selling price dependent
on warranty period", Eur. J. Oper. Res., 259(2),
pp. 401{412 (2017).
2. Tian, Z., Jia Y., Li, X., Van Doan, C., and Revhaug, I.
Modelling upgrading maintenance policy in the onedimensional
renewing warranty period", J. Shanghai
Jiaotong Univ., 21(6), pp. 737{743 (2016).
3. Taleizadeh, A.A., Khaligh, P.P., and Moon, I. Hybrid
NSGA-II for an imperfect production system considering
product quality and returns under two warranty
policies", Appl. Soft Comput., 75, pp. 333{348 (2019).
4. Mahmoudi, A. and Shavandi, H. Analyzing price,
warranty length, and service capacity under a fuzzy
environment: Genetic algorithm and fuzzy system",
Sci. Iran., 20(3), pp. 975{982 (2013).
5. Murthy, D.N.P. and Djamaludin, I. New product
warranty: A literature review", Int. J. Prod. Econ.,
79(3), pp. 231{260 (2002).
6. Darghouth, M.N., Chelbi, A., and Ait-kadi, D. Investigating
reliability improvement of second-hand
production equipment considering warranty and preventive
maintenance strategies", Int. J. Prod. Res.,
55(16), pp. 4643{4661 (2017).
7. Faridimehr, S. and Niaki, S.T.A. Optimal strategies
for price, warranty length, and production rate of a
new product with learning production cost", Sci. Iran.,
Trans. E, Ind. Eng., 20(6), pp. 2247{2258 (2013).
8. Darghouth, M.N., At-Kadi, D., and Chelbi, A. Joint
optimization of design, warranty and price for products
sold with maintenance service contracts", Reliab. Eng.
Syst. Saf., 165, pp. 197{208 (2017).
3320 A. Salmasnia et al./Scientia Iranica, Transactions E: Industrial Engineering 27 (2020) 3305{3321
9. Marshall, S., Arnold, R., Chukova, S., et al. Warranty
cost analysis: Increasing warranty repair times", Appl.
Stoch. Model. Bus. Ind., 34(4), pp. 544{561 (2018).
10. Wang, X. and Su, C. A two-dimensional preventive
maintenance strategy for items sold with warranty",
Int. J. Prod. Res., 54(19), pp. 5901{5915 (2016).
11. Murthy, D.N.P., Solem, O., and Roren, T. Product
warranty logistics: Issues and challenges", Eur. J.
Oper. Res., 156(1), pp. 110{126 (2004).
12. Murthy, D.N.P. Product warranty and reliability",
Ann. Oper. Res., 143(1), pp. 133{146 (2006).
13. Djamaludin, I., Murthy, D.N.P., and Kim, C.S. Warranty
and preventive maintenance", Int. J. Reliab.
Qual. Saf. Eng., 8(02), pp. 89{107 (2001).
14. Kim, C.S. Djamaludin, I., and Murthy, D.N.P. Warranty
and discrete preventive maintenance", Reliab.
Eng. Syst. Saf., 84(3), pp. 301{309 (2004).
15. Shaee, M. and Chukova, S. Maintenance models in
warranty: A literature review", Eur. J. Oper. Res.,
229(3), pp. 561{572 (2013).
16. Wang, X. and Xie, W. Two-dimensional warranty: A
literature review", Proc. Inst. Mech. Eng. Part O J.
Risk Reliab., p. 1748006X17742776 (2017).
17. Wu, J., Xie, M., and Ng, T.S.A. On a general periodic
preventive maintenance policy incorporating warranty
contracts and system ageing losses", Int. J. Prod.
Econ., 129(1), pp. 102{110 (2011).
18. Park, M., Jung, K.M., and Park, D.H. Optimal
maintenance strategy under renewable warranty with
repair time threshold", Appl. Math. Model., 43, pp.
498{508 (2017).
19. Su, C. and Wang, X. Optimizing upgrade level
and preventive maintenance policy for second-hand
products sold with warranty", Proc. Inst. Mech. Eng.
Part O J. Risk Reliab., 228(5), pp. 518{528 (2014).
20. Huang, Y.-S., Huang, C.-D., and Ho, J.-W. A
customized two-dimensional extended warranty with
preventive maintenance", Eur. J. Oper. Res., 257(3),
pp. 971{978 (2017).
21. Park, M. and Pham, H. Cost models for age replacement
policies and block replacement policies under
warranty", Appl. Math. Model., 40(9), pp. 5689{5702
(2016).
22. Bouguerra, S., Chelbi, A., and Rezg, N. A decision
model for adopting an extended warranty under dierent
maintenance policies", Int. J. Prod. Econ., 135(2),
pp. 840{849 (2012).
23. Salmasnia, A. and Yazdekhasti, A. A bi-objective
model to optimize periodic preventive maintenance
strategy during warranty period by considering customer
satisfaction", Int. J. Syst. Assur. Eng. Manag.,
8(4), pp. 770{781 (2017).
24. Teng, H.-M. Extended warranty pricing considering
the time of money", J. Inf. Optim. Sci., 27(2), pp.
401{409 (2006).
25. Fang, C.-C. and Huang, Y.-S. A study on decisions
of warranty, pricing, and production with insucient
information", Comput. Ind. Eng., 59(2), pp. 241{250
(2010).
26. Shahanaghi, K., Noorossana, R., Jalali-Naini, S.G.,
and Heydari, M. Failure modeling and optimizing preventive
maintenance strategy during two-dimensional
extended warranty contracts", Eng. Fail. Anal., 28,
pp. 90{102 (2013).
27. Ambad, P.M. and Kulkarni, M.S. A methodology
for design for warranty with focus on reliability and
warranty policies", J. Adv. Manag. Res., 10(1), pp.
139{155 (2013).
28. Su, C. and Wang, X. A study of availability-based
warranty policy", in Industrial Engineering and Engineering
Management (IEEM), 2016 IEEE International
Conference on, pp. 1655{1659 (2016).
29. Moeini, A., Foumani, M., and Jenab, K. Utilisation of
pruned Pareto-optimal solutions in the multi objective
optimisation: an application to system redundancy
allocation problems", Int. J. Appl. Decis. Sci., 6(1),
pp. 50{65 (2013).
30. Moeini, A., Jenab, K., Mohammadi, M., and Foumani,
M. Fitting the three-parameter Weibull distribution
with cross entropy", Appl. Math. Model., 37(9), pp.
6354{6363 (2013).
31. Kijima, M. Some results for repairable systems with
general repair", J. Appl. Probab., 26(01), pp. 89{102
(1989).
32. Salmasnia, A., Bashiri, M., and Salehi, M. A robust
interactive approach to optimize correlated multiple
responses", Int. J. Adv. Manuf. Technol., 67(5{8), pp.
1923{1935 (2013).
33. Roozitalab, A. and Asgharizadeh, E. Optimizing the
warranty period by cuckoo meta-heuristic algorithm
in heterogeneous customers' population", J. Ind. Eng.
Int., 9(1), pp. 1{6 (2013).
34. Talbi, E.-G., Metaheuristics: From Design to Implementation,
74, John Wiley & Sons (2009).
35. Mahmoodian, V., Jabbarzadeh, A., and Rezazadeh,
H. A novel intelligent particle swarm optimization
algorithm for solving cell formation problem", Neural
Comput. Appl., 31(2), pp. 801{815 (2017).
36. Bui, K.-T.T., Bui, D.T., Zou, J., et al. A novel
hybrid articial intelligent approach based on neural
fuzzy inference model and particle swarm optimization
for horizontal displacement modeling of hydropower
dam", Neural Comput. Appl., 29(12), pp. 1495{1506
(2016).
37. Salmasnia, A., Abdzadeh, B., and Namdar, M. A
joint design of production run length, maintenance policy
and control chart with multiple assignable causes",
J. Manuf. Syst., 42, pp. 44{56 (2017).
38. Kennedy, J. Particle swarm optimization", in Encyclopedia
of Machine Learning, Springer, pp. 760{766
(2011).
A. Salmasnia et al./Scientia Iranica, Transactions E: Industrial Engineering 27 (2020) 3305{3321 3321