References
1. Porteus, E.L. Optimal lot sizing, process quality
improvement and setup cost reduction", Oper. Res.,
34(1), pp. 137{144 (1986).
2. Rosenblatt, M.J. and Lee, H.L. Economic production
cycles with imperfect production processes", IIE T.,
18(1), pp. 48{55 (1986).
3. Lee, H.L. and Rosenblatt, M.J. Simultaneous determination
of production cycle and inspection schedules
in a production system", Manage. Sci., 33(9), pp.
1125{1136 (1987).
4. Kim, C.H. and Hong, Y. An optimal production run
length in deteriorating production processes", Int. J.
Prod. Econ., 58(2), pp. 183{189 (1999).
5. Ben-Daya, M. and Hariga, M. Economic lot scheduling
problem with imperfect production processes", J.
Oper. Res. Soc., 51(7), pp. 875{881 (2000).
6. Salameh, M.K. and Jaber, M.Y. Economic production
quantity model for items with imperfect quality",
Int. J. Prod. Econ., 64(1), pp. 59{64 (2000).
7. Cardenas-Barron, L.E. Observation on:Economic
production quantity model for items with imperfect
quality"[Int. J. Production Economics 64 (2000) 59-
64]", Int. J. Prod. Econ., 67(2), p. 201 (2000).
8. Huang, C.K. An integrated vendor-buyer cooperative
inventory model for items with imperfect quality",
Prod. Plan. Control, 13(4), pp. 355{361 (2002).
9. Chung, K.J. and Hou, K.L. An optimal production
run time with imperfect production processes and
allowable shortages", Comput. Oper. Res., 30(4), pp.
483{490 (2003).
10. Yeh, R.H., Ho, W.T., and Tseng, S.T. Optimal production
run length for products sold with warranty",
Eur. J. Oper. Res., 120(3), pp. 575{582 (2000).
11. Ben-Daya, M. and Rahim, A. Optimal lot-sizing,
quality improvement and inspection errors for multistage
production systems", Int. J. Prod. Res., 41(1),
pp. 65{79 (2003).
12. Huang, C.K. An optimal policy for a single-vendor
single-buyer integrated production-inventory problem
with process unreliability consideration", Int. J. Prod.
Econ., 91(1), pp. 91{98 (2004).
13. Hsieh, C.C. and Lee, Z.Z. Joint determination of
production run length and number of standbys in a
deteriorating production process", Eur. J. Oper. Res.,
162(2), pp. 359{371 (2005).
14. Chen, C.K. and Lo, C.C. Optimal production run
length for products sold with warranty in an imperfect
production system with allowable shortages", Math.
Comput. Model., 44(3), pp. 319{331 (2006).
15. Wee, H.M., Yu, J., and Chen, M.C. Optimal inventory
model for items with imperfect quality and shortage
backordering", Omega, 35(1), pp. 7{11 (2007).
16. Raouf, A., Jain, J.K., and Sathe, P.T. A costminimization
model for multicharacteristic component
inspection", AIIE T., 15(3), pp. 187{194 (1983).
17. Duuaa, S.O. and Khan, M. An optimal repeat
inspection plan with several classications", J. Oper.
Res. Soc., 53(9), pp. 1016{1026 (2002).
18. Duuaa, S.O. and Khan, M. Impact of inspection
errors on the performance measures of a general repeat
inspection plan", Int. J. Prod. Res., 43(23), pp. 4945{
4967 (2005).
19. Zhou, Y., Chen, C., Li, C., and Zhong, Y. A synergic
economic order quantity model with trade credit,
shortages, imperfect quality and inspection errors",
Appl. Math. Model., 40(2), pp. 1012{1028 (2016).
20. Al-Salamah, M. Economic production quantity in
batch manufacturing with imperfect quality, imperfect
inspection, and destructive and non-destructive acceptance
sampling in a two-tier market", Comput. Ind.
Eng., 93, pp. 275{285 (2016).
21. Khan, M., Hussain, M., and Cardenas-Barron, L.E.
Learning and screening errors in an EPQ inventory
model for supply chains with stochastic lead time
demands", Int. J. Prod. Res., 55(16), pp. 4816{4832
(2017).
22. Khanna, A., Kishore, A., and Jaggi, C.K. Strategic
production modeling for defective items with imperfect
inspection process, rework, and sales return under twolevel
trade credit", Int. J. Ind. Eng. Comput., 8(1), pp.
85{118 (2017).
23. Pal, S. and Mahapatra, G.S. A manufacturingoriented
supply chain model for imperfect quality with
inspection errors, stochastic demand under rework
and shortages", Comput. Ind. Eng., 106, pp. 299{314
(2017).
24. Sett, B.K., Sarkar, S., and Sarkar, B. Optimal buer
inventory and inspection errors in an imperfect production
system with preventive maintenance", T. Int.
J. Adv. Manuf. Tech., 90(1{4), pp. 545{560 (2017).
25. Hayek, P.A. and Salameh, M.K. Production lot
sizing with the reworking of imperfect quality items
produced", Prod. Plan. Control, 12(6), pp. 584{590
(2001).
26. Chiu, Y.P. Determining the optimal lot size for the
nite production model with random defective rate,
the rework process, and backlogging", Eng. Optim.,
35(4), pp. 427{437 (2003).
27. Chiu, S.W., Gong, D.C., and Wee, H.M. Eects of
random defective rate and imperfect rework process
on economic production quantity model", Jap. J. Ind.
Appl. Math., 21(3), pp. 375{389 (2004).
28. Chiu, Y.S.P., Lin, H.D., and Cheng, F.T. Optimal
production lot sizing with backlogging, random defective
rate, and rework derived without derivatives",
P. I. Mech. Eng. B-J. Eng., 220(9), pp. 1559{1563
(2006).
A. Kishore et al./Scientia Iranica, Transactions E: Industrial Engineering 27 (2020) 3265{3288 3283
29. Chiu, S.W., Ting, C.K., and Chiu, Y.S.P. Optimal
production lot sizing with rework, scrap rate, and service
level constraint", Math. Comput. Model., 46(3),
pp. 535{549 (2007).
30. Sana, S.S. A production-inventory model in an imperfect
production process", Eur. J. Oper. Res., 200(2),
pp. 451{464 (2010).
31. Sarkar, B., Sana, S.S., and Chaudhuri, K. Optimal
reliability, production lot size and safety stock in an
imperfect production system", Int. J. Math. Oper.
Res., 2(4), pp. 467{490 (2010).
32. Sarkar, B., Sana, S.S., and Chaudhuri, K. An
economic production quantity model with stochastic
demand in an imperfect production system", Int. J.
Serv. Oper. Manag., 9(3), pp. 259{283 (2011).
33. Dey, O. and Giri, B.C. Optimal vendor investment
for reducing defect rate in a vendor-buyer integrated
system with imperfect production process", Int. J.
Prod. Econ., 155, pp. 222{228 (2014).
34. Chiu, S.W. Production lot size problem with failure
in repair and backlogging derived without derivatives",
Eur. J. Oper. Res., 188(2), pp. 610{615 (2008).
35. Lin, T.Y. Optimal policy for a simple supply chain
system with defective items and returned cost under
screening errors", J. Oper. Res. Soc. Jpn., 52(3), pp.
307{320 (2009).
36. Yoo, S.H., Kim, D., and Park, M.S. Economic production
quantity model with imperfect-quality items,
two-way imperfect inspection and sales return", Int. J.
Prod. Econ., 121(1), pp. 255{265 (2009).
37. Hsu, J.T. and Hsu, L.F. Two EPQ models with
imperfect production processes, inspection errors,
planned backorders, and sales returns", Comput. Ind.
Eng., 64(1), pp. 389{402 (2013).
38. Wee, H.M., Wang, W.T., and Yang, P.C. A production
quantity model for imperfect quality items with
shortage and screening constraint", Int. J. Prod. Res.,
51(6), pp. 1869{1884 (2013).
39. Cardenas-Barron, L.E., Chung, K.J., and Trevi~no-
Garza, G. Celebrating a century of the economic order
quantity model in honor of Ford Whitman Harris", Int.
J. Prod. Econ., 155, pp. 1{7 (2014).
40. Taleizadeh, A.A., Khanbaglo, M.P.S., and Cardenas-
Barron, L.E. An EOQ inventory model with partial
backordering and reparation of imperfect products",
Int. J. Prod. Econ., 182, pp. 418{434 (2016).
41. Wang, W.T., Wee, H.M. Cheng, Y.L., Wen, C.L.,
and Cardenas-Barron, L.E. EOQ model for imperfect
quality items with partial backorders and screening
constraint", Eur. J. Ind. Eng., 9(6), pp. 744{773
(2015).
42. Jaggi, C.K., Khanna, A., and Kishore, A. Production
inventory policies for defective items with inspection
errors, sales return, imperfect rework process and
backorders", In K. Singh, M. Pandey, L. Solanki, S. B.
Dandin, & P. S. Bhatnagar (Eds.), AIP Conf. Proc.,
1715(1), p. 020062 (2016).
43. Moussawi-Haidar, L., Salameh, M., and Nasr, W.
Production lot sizing with quality screening and
rework", Appl. Math. Model., 40(4), pp. 3242{3256
(2016).
44. Liao, G.L. Production and maintenance policies for
an EPQ model with perfect repair, rework, free-repair
warranty, and preventive maintenance", IEEE T. Syst.
Man CY.-S., 46(8), pp. 1129{1139 (2016).
45. Pal, S., Mahapatra, G.S., and Samanta, G.P. A threelayer
supply chain EPQ model for price-and stockdependent
stochastic demand with imperfect item
under rework", J. Uncert. Anal. Appl., 4(1), p. 10
(2016).
46. Shah, N.H., Patel, D.G., and Shah, D.B. EPQ
model for returned/reworked inventories during imperfect
production process under price-sensitive stockdependent
demand", Oper. Res., 18(2), pp. 1{17
(2016).
47. Sekar, T. and Uthayakumar, R. A multi-production
inventory model for deteriorating items considering
penalty and environmental pollution cost with failure
rework", Uncert. Sup. Chain Manag., 5(3), pp. 229{
242 (2017).
48. Benkherouf, L., Skouri, K., and Konstantaras, I.
Optimal batch production with rework process for
products with time-varying demand over nite planning
horizon", Oper. Res. Eng. Cyb. Sec., 113, pp.
57{68 (2017).
49. Chen, T.H. Optimizing pricing, replenishment and
rework decision for imperfect and deteriorating items
in a manufacturer-retailer channel", Int. J. Prod.
Econ., 183, pp. 539{550 (2017).
50. Shaee-Gol, S., Nasiri, M.M., and Taleizadeh, A.A.
Pricing and production decisions in multi-product
single machine manufacturing system with discrete
delivery and rework", Opsearch, 53(4), pp. 873{888
(2016).
51. Jawla, P. and Singh, S. Multi-item economic production
quantity model for imperfect items with multiple
production setups and rework under the eect of
preservation technology and learning environment",
Int. J. Ind. Eng. Comput., 7(4), pp. 703{716 (2016).
52. Cardenas-Barron, L.E., Trevi~no-Garza, G.,
Taleizadeh, A.A., and Vasant, P. Determining
replenishment lot size and shipment policy for an
EPQ inventory model with delivery and rework",
Math. Prob. Eng., 2015 (2015).
3284 A. Kishore et al./Scientia Iranica, Transactions E: Industrial Engineering 27 (2020) 3265{3288
53. Nobil, A.H., Sedigh, A.H.A., and Cardenas-Barron,
L.E. Multi-machine economic production quantity for
items with scrapped and rework with shortages and
allocation decisions", Scient. Iran., Transactions E,
25(4), pp. 2331{2346 (2018).
54. Chung, K.J., Ting, P.S., and Cardenas-Barron, L.E.
A simple solution procedure to solve the multidelivery
policy into economic production lot size problem
with partial rework", Scient. Iran., Transactions
E, 24(5), pp. 2640{2644 (2017).
55. Nobil, A.H., Afshar Sedigh, A.H., Tiwari, S., and Wee,
H.M. An imperfect multi-item single machine production
system with shortage, rework, and scrapped
considering inspection, dissimilar deciency levels, and
non-zero setup times", Scient Iran, 26(1), pp. 557{570
(2019).