Investing in Transportation Emission Cost Reduction on Environmentally Sustainable EOQ Models with Partial Backordering

Hsien-Jen Lin This email address is being protected from spambots. You need JavaScript enabled to view it.¹

¹Department of Applied Mathematics, Department of Finance and Actuarial Science, Aletheia University, Tamsui, Taiwan 251, R.O.C.

REFERENCES

1. [1] Harris, F. W., “How Many Parts to Make at Once,” Factory,The Magazine of Management,Vol.10,No.2, pp. 135–136 (1913). (Reprinted in Operations Research, Vol. 38, No. 6, pp. 947950 (1990)). doi: 10.1287/ opre.38.6.947
2. [2] Wilson, R. H., “A Scientific Routine for Stock Control,” Harvard Business Review, Vol. 13, pp. 116128 (1934).
3. [3] Raymond, F. E., Quantity and Economy in Manufacturing, McGraw-Hill, New York (1931).
4. [4] Silver, E. A., Pyke, D. F. and Peterson, R., Inventory Management and Production Planning and Scheduling, Third ed., New York: Wiley (1998).
5. [5] Andriolo, A., Battini,D., Grubbström, R.W., Persona, A. and Sgarbossa, F., “A Century of Evolution from Harris’s Basic Lot Size Model: Survey and Research Agenda,” International Journal of Production Economics, Vol. 155, pp. 1638 (2014). doi: 10.1016/j. ijpe.2014.01.013
6. [6] Cárdenas-Barrón, L. E., Chung, K. J. and TreviñoGarza,G.,“Celebrating a Century of the Economic Order Quantity Model in Honor of Ford Whitman Harris,” International Journal of Production Economics, Vol. 155, pp. 17 (2014). doi: 10.1016/j.ijpe.2014.07. 002
7. [7] Arslan, M. C. and Turkay, M., “EOQ Revised with Sustainability Considerations,” Foundations of Computing and Decision Sciences,Vol.38,No.4,pp.223 249 (2013). doi: 10.2478/fcds-2013-0011
8. [8] Inman, R. A., “Implications of Environmental Management for Operations Management,” Production Planning & Control, Vol. 13, pp. 4755 (2002). doi: 10.1080/09537280110061575
9. [9] Sheu, J. B., Chou, Y. H. and Hu, C. C., “An Integrated Logistics Operational Model for Green-supply Chain Management,” Transportation Research Part E: Logistics and Transportation Review, Vol. 41, pp. 287 313 (2005). doi: 10.1016/j.tre.2004.07.001
10. [10] Turkay,M.,“Environmentally Conscious Supply Chain Management,” Papageorgiou, L., Georgiadis,M.(eds.), Process Systems Engineering: Supply Chain Optimization, WILEY-VCH, Weinheim, pp. 4586 (2008). doi: 10.1002/9783527631209.ch23
11. [11] Wiedmann T. and Minx J., “A Definition of Carbon Footprint,”PertsovaC.C.(ed.), Ecological Economics Research Trends,Nova Science Publishers,Hauppauge NY, USA, pp. 111 (2008).
12. [12] Bonney, M. and Jaber, M. Y., “Environmentally Responsible Inventory Models: Non-classical Models for a Non-classical Era,”International Journal of Production Economics, Vol. 133, pp. 4353 (2011). doi: 10. 1016/j.ijpe.2009.10.033
13. [13] Hua, G., Cheng, T. C. E. and Wang, S., “Managing Carbon Footprints in Inventory Management,” International Journal of Production Economics, Vol. 132, pp. 178–185 (2011). doi: 10.1016/j.ijpe.2011.03.024
14. [14] Bouchery, Y., Ghaffari, A., Jemai, Z. and Dallery, Y., “Including Sustainability Criteria into Inventory Models,” European Journal of Operational Research,Vol. 222, pp. 229240 (2012). doi: 10.1016/j.ejor.2012.05. 004
15. [15] Chen, X., Benjaafar, S. and Elomri, A., “The Carbonconstrained EOQ,” Operations Research Letters, Vol. 41, pp. 172179 (2013). doi: 10.1016/j.orl.2012.12. 003
16. [16] Battini, D., Persona, A. and Sgarbossa, F., “A Sustainable EOQ Model: Theoretical Formation and Applications,”International Journal of Production Economics, Vol.149, pp.145 153 (2014).doi:10.1016/j.ijpe.2013. 06.026
17. [17] Omair, M., Sarkar, B. and Cárdenas-Barrón, L. E., “Minimum Quantity Lubrication and Carbon Footprint: a Step towards Sustainability,” Sustainability, Vol. 9, No. 5, 714, 18 pages (2017). doi: 10.3390/su9050714
18. [18] Wahab, M. I. M., Mamun, S. M. H. and Ongkunaruk, P.,“EOQ Models for a Coordinated Two-level International Supply Chain Considering Imperfect Items and Environmental Impact,” International Journal of Production Economics, Vol. 134, pp. 151158 (2011). doi: 10.1016/j.ijpe.2011.06.008
19. [19] Benjaafar, S., Li, Y. and Daskin, M., “Carbon Footprint and the Management of Supply Chains: Insights from Simple Models,” IEEE Transactions on Automation Science and Engineering, Vol. 10, pp. 99116 (2013). doi: 10.1109/TASE.2012.2203304
20. [20] ToptalA.,Özlü,H.andKonur,D.,“JointDecisionson Inventory Replenishment and Emission Reduction Investment under Different Emission Regulations,” International Journal of Production Research, Vol. 52, No. 1, pp. 243269 (2014). doi: 10.1080/00207543. 2013.836615
21. [21] Boukherroub, T., Ruiz, A., Guinet, A. and Fondrevelle, J., “An Integrated Approach for Sustainable Supply Chain Planning,” Computers & Operations Research, Vol. 54, pp. 180194 (2015). doi: 10.1016/j.cor.2014. 09.002
22. [22] Brandenburg, M. and Rebs, T., “Sustainable Supply Chain Management: a Modeling Perspective,” Annals of Operations Research, Vol. 229, No. 1, pp. 213252 (2015). doi: 10.1007/s10479-015-1853-1
23. [23] Dubey, R., Gunasekaran, A., Sushil and Singh, T., “Building Theory of Sustainable Manufacturing Using Total Interpretive Structural Modeling,” International Journal of Systems Science: Operations & Logistics, Vol. 2, No. 4, pp. 231247 (2015). doi: 10.1080/ 23302674.2015.1025890
24. [24] Dye, C. Y. and Yang, C. T., “Sustainable Trade Credit and Replenishment Decisions with Credit-linked Demand under Carbon Emission Constraints,” European Journal of Operational Research, Vol. 244, No. 1, pp. 187200 (2015). doi: 10.1016/j.ejor.2015.01.026
25. [25] Lin, H. J., “Two-echelon Stochastic Inventory System with Returns and Partial Backlogging,” International Journal of Systems Science, Vol. 46, No. 6, pp. 966 975 (2015). doi: 10.1080/00207721.2013.803633
26. [26] Lin,Y.J. and Lin,H.J.,“Integrated Supply Chain Model with Price-dependent Demand and Product Recovery,”Journal of Applied Science and Engineering,Vol. 18, No. 3, pp. 213222 (2015). doi: 10.6180/jase. 2015.18.3.01
27. [27] Chan, F. T. S., Li, N., Chung, S. H. and Saadat, M., “Management of Sustainable Manufacturing Systems a Review on Mathematical Problems,” International Journal of Production Research, Vol. 55, No. 4, pp. 12101225 (2017). doi: 10.1080/00207543.2016. 1229067
28. [28] Panda, S., Modak, N. M. and Cárdenas-Barrón, L. E., “Coordinating a Socially Responsible Closed-loop Supply Chain with Product Recycling,” International Journal of Production Economics,Vol.188,pp.11 21 (2017). doi: 10.1016/j.ijpe.2017.03.010
29. [29] Modak,N.M.,Ghosh,D.K.,Panda,S. and Sana,S.S., “Managing Green House Gas Emission Cost and Pricing Policies in a Two-echelon Supply Chain,” CIRP Journal of Manufacturing Science and Technology, Vol.20,pp.111(2018). doi:10.1016/j.cirpj.2017.08. 001
30. [30] Taleizadeh, A. A., Soleymanfar, V. R. and Govindan, K., “Sustainable EPQ Models for Inventory Systems with Shortage,” Journal of Cleaner Production, Vol. 174, pp. 10111020 (2018).
31. [31] Montgomery, D. C., Bazaraa, M. S. and Keswani, A. K., “Inventory Models with a Mixture of Backorders and Lost Sales,” Naval Research Logistics, Vol. 20, pp. 255263 (1973). doi: 10.1002/nav.3800200205
32. [32] Ouyang, L.Y.,Chuang, B.R.andLin,Y.J.,“Effective Investment to Reduce Lost-sales Rate in a Periodic Review Inventory Model,” OR Spectrum, Vol. 29, pp. 681697 (2007). doi: 10.1007/s00291-007-0081-8
33. [33] Pentico, D. W. and Drake, M. J., “The Deterministic EOQ with Partial Backordering: a New Approach,” European Journal of Operational Research, Vol. 194, pp. 102113 (2009). doi: 10.1016/j.ejor.2007.12.004
34. [34] San José, L. A., Sicilia, J. and García-Laguna., J., “A General Model for EOQ Inventory Systems with Partial Backlogging and Linear Shortage Costs,” International Journal of Systems Science, Vol. 40, pp. 5971 (2009). doi: 10.1080/00207720802142475
35. [35] Sana, S. S., “Optimal Selling Price and Lot Size with Time Varying Deterioration and Partial Backlogging,” Applied Mathematics and Computation, Vol. 217, pp. 185194 (2010). doi: 10.1016/j.amc.2010.05.040
36. [36] Lin, H. J., “A Stochastic Periodic Review Inventory Model with Back-order Discounts and Ordering Cost Dependent on Lead Time for the Mixtures of Distributions,” An Official Journal of the Spanish Society of Statistics and Operations Research,Vol.23,No.2,pp. 386400 (2015). doi: 10.1007/s11750-014-0345-9
37. [37] Lin, H. J., “Investing in Lead-time Variability Reduction in a Collaborative Vendor-buyer Supply Chain Model with Stochastic Lead Time,” Computers & Operations Research, Vol. 72, pp. 4349 (2016). doi: 10. 1016/j.cor.2016.02.002
38. [38] Lin, H. J., “Two-critical-number Control Policy for a Stochastic Production Inventory System with Partial Backlogging,” International Journal of Production Research, Vol. 55, No. 14, pp. 41234135 (2017). doi: 10.1080/00207543.2016.1254353
39. [39] San José, L.A., Sicilia, J. and García-Laguna.,J.,“Optimal Lot Size for a Production-inventory System with Partial Backlogging and Mixture of Dispatching Policies,”International Journal of Production Economics, Vol.155,pp.194203(2014).doi:10.1016/j.ijpe.2013. 08.017
40. [40] Taleizadeh, A. A. and Pentico, D. W., “An Economic Order Quantity Model with Partial Backordering and All-units Discount,” International Journal of Production Economics, Vol. 155, pp. 172184 (2014). doi: 10.1016/j.ijpe.2014.01.012
41. [41] Taleizadeh, A. A. Pentico, D. W., Jabalameli, M. S. and Aryanezhad, M., “An EOQ Problem under Partial Delayed Payment and Partial Backordering,” Omega, Vol. 41, No. 2, pp. 354368 (2013).
42. [42] Taleizadeh, A. A., Stojkovska, I. and Pentico, D. W., “An Economic Order Quantity Model with Partial Backordering and Incremental Discount,” Computer and Industrial Engineering, Vol. 82, pp. 2132 (2015). doi: 10.1016/j.cie.2015.01.005
43. [43] Sana, S. S. and Goyal, S. K., “(Q, r, L) Model for Stochastic Demand with Lead-time Dependent Partial Backlogging,” Annals of Operations Research, Vol. 233, No. 1, pp. 401410 (2015). doi: 10.1007/s10479014-1731-2
44. [44] Salehi,H.,Taleizadeh, A.A. and Tavakkoli-Moghaddam, R., “An EOQ Model with Random Disruptions and Partial Backordering,” International Journal of Production Research, Vol. 54, No. 9, pp. 26002609 (2016). doi: 10.1080/00207543.2015.1110634
45. [45] Aslani, A., Taleizadeh, A. A. and Zannoni, S., “An EOQ Model with Partial Backordering with Regard to Random Yield Rate of Production Process, Two Strategies to Remove the Inspection,” Computers and Industrial Engineering, Vol. 112, pp. 379390 (2017).
46. [46] Taleizadeh, A. A., “A Constrained Integrated Imperfect Manufacturing-inventory System with Preventive Maintenance and Partial Backordering,” Annals of Operations Research, Vol. 261, No. 12, pp. 303337 (2018). doi: 10.1007/s10479-017-2563-7
47. [47] Hall,R.W.,Zero Inventories,DowJones-Irwin,Homewood, Illinois (1983).
48. [48] Porteus, E. L., “Investing in Reduction Setups in the EOQ Model,” Management Science, Vol. 31, No. 8, pp. 9981010 (1985). doi: 10.1287/mnsc.31.8.998
49. [49] Nasri, F., Affisco, J. F. and Paknejad, M. J., “Setup Cost Reduction in an Inventory Model with Finite range Stochastic Lead Times,” International Journal of Production Research, Vol. 28, No. 1, pp. 199212 (1990). doi: 10.1080/00207549008942693
50. [50] Ouyang, L. Y. and Chang, H. C., “Impact of Investing in Quality Improvement on (Q, r, L) Model Involving the Imperfect Production Process,” Production Planning & Control, Vol. 11, No. 6, pp. 598607 (2000). doi: 10.1080/095372800414160
51. [51] Chuang, B. R., Ouyang, L. Y. and Chuang, K. W., “A Note on Periodic Review Inventory Model with Controllable Setup Cost and Lead Time,” Computers & Operations Research, Vol. 31, pp. 549561 (2004). doi: 10.1016/S0305-0548(03)00013-3
52. [52] Lin,Y.J.,“An Integrated Vendor-buyer Inventory Model with Backorder Price Discount and Effective Investment to Reduce Ordering Cost,” Computers & Industrial Engineering, Vol. 56, pp. 15971606 (2009). doi: 10.1016/j.cie.2008.10.009