S. K. Goyal, An integrated inventory model for a single supplier-single customer problem, International Journal of Production Research, vol.15, issue.1, pp.107-111, 1976.

A. Banerjee, A joint economic-lot-size model for purchaser and vendor, Decision Sciences, vol.17, issue.3, p.311, 1986.

S. K. Goyal, A joint economic-lot-size model for purchaser and vendor: a comment, Decision Sciences, vol.19, issue.1, pp.236-241, 1988.

B. Sarkar, S. Saren, D. Sinha, and S. Hur, Effect of unequal lot sizes, variable setup cost, and carbon emission cost in a supply chain model, Mathematical Problems in Engineering, vol.1, p.13, 2015.

M. Ben-daya and A. Raouf, Inventory models involving lead time as a decision variable, The Journal of Opertional Research Society, vol.45, issue.5, pp.579-582, 1994.

L. Y. Ouyang, N. C. Yeh, and K. S. Wu, Mixture inventory model with backorders and lost sales for variable lead time, The Journal of Operational Research Society, vol.47, issue.6, p.832, 1996.

I. Moon and S. Choi, Technical note: a note on lead time and distributional assumptions in continuous review inventory models, Computers & Operations Research, vol.25, issue.11, pp.1007-1012, 1998.

L. Y. Ouyang, C. K. Chen, and H. C. Chang, Quality improvement, setup cost and lead-time reductions in lot size reorder point models with an imperfect production process, Computers & Operations Research, vol.29, issue.12, pp.1701-1717, 2002.

B. Sarkar and I. Moon, Improved quality, setup cost reduction, and variable backorder costs in an imperfect production process, International Journal of Production Economics, vol.155, p.213, 2014.

M. Kim and B. Sarkar, Multi-stage cleaner production process with quality improvement and lead time dependent ordering cost, Journal Cleaner Production, vol.144, p.590, 2017.

A. Majumder, R. Guchhait, and B. Sarkar, Manufacturing quality improvement and setup cost reduction in an integrated vendor-buyer supply chain model, European Journal of Industrial Engineering, vol.11, issue.5, 2017.

C. H. Glock, A comment: Integrated single vendor-single buyer model with stochastic demand and variable lead time, International Journal of Production Economics, vol.122, issue.2, pp.790-792, 2009.

C. H. Glock, The joint economic lot size problem: A review, International Journal of Production Economics, vol.135, issue.2, pp.671-686, 2012.

B. Sarkar, S. S. Sana, and K. S. Chaudhuri, An imperfect production process for time varying demand with inflation and time value of money -An EMQ model, Expert Systems with Applications, vol.38, pp.13543-13548, 2011.