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Mathematical Problems in Engineering
Volume 2015 (2015), Article ID 469486, 13 pages
http://dx.doi.org/10.1155/2015/469486
Research Article

Effect of Unequal Lot Sizes, Variable Setup Cost, and Carbon Emission Cost in a Supply Chain Model

1Department of Industrial & Management Engineering, Hanyang University, Ansan, Gyeonggi-do 426 791, Republic of Korea
2Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Midnapore 721 102, India

Received 21 August 2015; Accepted 5 October 2015

Academic Editor: Paulina Golinska

Copyright © 2015 Biswajit Sarkar et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. B. Nag and J. K. Parikh, “Carbon emission coefficient of power consumption in India: baseline determination from the demand side,” Energy Policy, vol. 33, no. 6, pp. 777–786, 2005. View at Publisher · View at Google Scholar · View at Scopus
  2. T. M. Butler, M. G. Lawrence, B. R. Gurjar, J. Van Aardenne, M. Schultz, and J. Lelieveld, “The representation of emissions from megacities in global emission inventories,” Atmospheric Environment, vol. 42, no. 4, pp. 703–719, 2008. View at Publisher · View at Google Scholar · View at Scopus
  3. C. Ma, M.-T. Ju, X.-C. Zhang, and H.-Y. Li, “Energy consumption and carbon emissions in a coastal city in China,” Procedia Environmental Sciences, vol. 4, pp. 1–9, 2011. View at Publisher · View at Google Scholar
  4. E. Wygonik and A. Goodchild, “Evaluating CO2 emissions, cost, and service quality trade-offs in an urban delivery system case study,” IATSS Research, vol. 35, no. 1, pp. 7–15, 2011. View at Publisher · View at Google Scholar · View at Scopus
  5. G. Hua, T. C. E. Cheng, and S. Wang, “Managing carbon footprints in inventory management,” International Journal of Production Economics, vol. 132, no. 2, pp. 178–185, 2011. View at Publisher · View at Google Scholar · View at Scopus
  6. T. M. Bachmann and J. Van Der Kamp, “Environmental cost-benefit analysis and the EU (European Union) Industrial Emissions Directive: exploring the societal efficiency of a DeNOx retrofit at a coal-fired power plant,” Energy, vol. 68, pp. 125–139, 2014. View at Publisher · View at Google Scholar · View at Scopus
  7. G. Zhang, P. Liu, X. Gao, and M. Liu, “Companies' behavior of carbon emission reduction at the risk of oil price volatility,” Procedia Computer Science, vol. 31, pp. 291–298, 2014. View at Publisher · View at Google Scholar
  8. J.-D. Hong, S.-L. Kim, and J. C. Hayya, “Dynamic setup reduction in production lot sizing with nonconstant deterministic demand,” European Journal of Operational Research, vol. 90, no. 1, pp. 182–196, 1996. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  9. 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 and Operations Research, vol. 29, no. 12, pp. 1701–1717, 2002. View at Publisher · View at Google Scholar · View at Scopus
  10. B.-R. Chuang, L.-Y. Ouyang, and K.-W. Chuang, “A note on periodic review inventory model with controllable setup cost and lead time,” Computers & Operations Research, vol. 31, no. 4, pp. 549–561, 2004. View at Publisher · View at Google Scholar · View at Scopus
  11. K.-L. Hou, “An EPQ model with setup cost and process quality as functions of capital expenditure,” Applied Mathematical Modelling, vol. 31, no. 1, pp. 10–17, 2007. View at Publisher · View at Google Scholar · View at Scopus
  12. B. Sarkar and A. Majumder, “Integrated vendor-buyer supply chain model with vendor's setup cost reduction,” Applied Mathematics and Computation, vol. 224, pp. 362–371, 2013. View at Publisher · View at Google Scholar · View at Scopus
  13. M. Diaby, J. M. Cruz, and A. L. Nsakanda, “Shortening cycle times in multi-product, capacitated production environments through quality level improvements and setup reduction,” European Journal of Operational Research, vol. 228, no. 3, pp. 526–535, 2013. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  14. 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, pp. 204–213, 2014. View at Publisher · View at Google Scholar · View at Scopus
  15. B. Sarkar, K. S. Chaudhuri, and I. Moon, “Manufacturing setup cost reduction and quality improvement for the distribution free continuous-review inventory model with a service level constraint,” Journal of Manufacturing Systems, vol. 34, pp. 74–82, 2015. View at Publisher · View at Google Scholar
  16. S. K. Goyal and A. Z. Szendrovits, “A constant lot size model with equal and unequal sized batch shipments between production stages,” Engineering Costs and Production Economics, vol. 10, no. 1, pp. 203–210, 1986. View at Publisher · View at Google Scholar · View at Scopus
  17. M. A. Hoque and B. G. Kingsman, “An optimal solution algorithm for the constant lot-size model with equal and unequal sized batch shipments for the single product multi-stage production system,” International Journal of Production Economics, vol. 42, no. 2, pp. 161–174, 1995. View at Publisher · View at Google Scholar · View at Scopus
  18. R. W. Bogaschewsky, U. D. Buscher, and G. Lindner, “Optimizing multi-stage production with constant lot size and varying number of unequal sized batches,” Omega, vol. 29, no. 2, pp. 183–191, 2001. View at Publisher · View at Google Scholar · View at Scopus
  19. H. Siajadi, R. N. Ibrahim, and P. B. Lochert, “Joint economic lot size in distribution system with multiple shipment policy,” International Journal of Production Economics, vol. 102, no. 2, pp. 302–316, 2006. View at Publisher · View at Google Scholar · View at Scopus
  20. Y.-W. Zhou and S.-D. Wang, “Optimal production and shipment models for a single-vendor-single-buyer integrated system,” European Journal of Operational Research, vol. 180, no. 1, pp. 309–328, 2007. View at Publisher · View at Google Scholar · View at Scopus
  21. M. A. Hoque, “A manufacturer-buyer integrated inventory model with stochastic lead times for delivering equal- and/or unequal-sized batches of a lot,” Computers & Operations Research, vol. 40, no. 11, pp. 2740–2751, 2013. View at Publisher · View at Google Scholar · View at Scopus
  22. M. Hariga, M. Gumus, and A. Daghfous, “Storage constrained vendor managed inventory models with unequal shipment frequencies,” Omega, vol. 48, pp. 94–106, 2014. View at Publisher · View at Google Scholar · View at Scopus
  23. C.-H. Wang and S.-H. Sheu, “Simultaneous determination of the optimal production-inventory and product inspection policies for a deteriorating production system,” Computers & Operations Research, vol. 28, no. 11, pp. 1093–1110, 2001. View at Publisher · View at Google Scholar · View at Scopus
  24. C.-H. Wang and S. H. Sheu, “Determining the optimal production-maintenance policy with inspection errors: using a Markov chain,” Computers and Operations Research, vol. 30, no. 1, pp. 1–17, 2003. View at Publisher · View at Google Scholar · View at Scopus
  25. C.-H. Wang, “Integrated production and product inspection policy for a deteriorating production system,” International Journal of Production Economics, vol. 95, no. 1, pp. 123–134, 2005. View at Publisher · View at Google Scholar · View at Scopus
  26. M. Ben-Daya and S. M. Noman, “Integrated inventory and inspection policies for stochastic demand,” European Journal of Operational Research, vol. 185, no. 1, pp. 159–169, 2008. View at Publisher · View at Google Scholar · View at Scopus
  27. I. Konstantaras, K. Skouri, and M. Y. Jaber, “Lot sizing for a recoverable product with inspection and sorting,” Computers and Industrial Engineering, vol. 58, no. 3, pp. 452–462, 2010. View at Publisher · View at Google Scholar · View at Scopus
  28. S. H. Yoo, D. Kim, and M.-S. Park, “Lot sizing and quality investment with quality cost analyses for imperfect production and inspection processes with commercial return,” International Journal of Production Economics, vol. 140, no. 2, pp. 922–933, 2012. View at Publisher · View at Google Scholar · View at Scopus
  29. B. Sarkar and S. Saren, “Product inspection policy for an imperfect production system with inspection errors and warranty cost,” European Journal of Operational Research, vol. 248, no. 1, pp. 263–271, 2016. View at Publisher · View at Google Scholar
  30. M. Asghari, “An integrated mathematical model for supplier selection,” Industrial Engineering & Management Systems, vol. 13, no. 1, pp. 29–42, 2014. View at Publisher · View at Google Scholar
  31. Y. Lin, M.-L. Tseng, A. S. F. Chiu, and R. Wang, “Implementation and performance evaluation of a firm's green supply chain management under uncertainty,” Industrial Engineering and Management Systems, vol. 13, no. 1, pp. 15–28, 2014. View at Publisher · View at Google Scholar
  32. T. Watanabe and E. Kusukawa, “Optimal operation for green supply chain considering demand information, collection incentive and quality of recycling parts,” Industrial Engineering & Management Systems, vol. 13, no. 2, pp. 129–147, 2014. View at Google Scholar · View at Scopus
  33. R. H. Chen, “Effects of green operations and green innovation on firm's environmental performance,” Industrial Engineering and Management Systems, vol. 13, no. 2, pp. 118–128, 2014. View at Publisher · View at Google Scholar
  34. E. Kusukawa, “Supply chain coordination in 2-stage-ordering-production system with update of demand information,” Industrial Engineering and Management Systems, vol. 13, no. 3, pp. 304–318, 2014. View at Publisher · View at Google Scholar
  35. N. Watanabe and E. Kusukawa, “Optimal ordering policy in dual-sourcing supply chain considering supply disruptions and demand information,” Industrial Engineering & Management Systems, vol. 14, no. 2, pp. 129–158, 2015. View at Publisher · View at Google Scholar