Voluntary environmental effort under (s,S) inventory policy*

References

• Aggarwal, S. C. 1974. “A Review of Current Inventory Theory and its Applications.” International Journal of Production Research 12 (4): 443–482. https://doi.org/10.1080/00207547408919568.
   Google Scholar
• Arimura, T. H., A. Hibiki, and H. Katayama. 2008. “Is a Voluntary Approach an Effective Environmental Policy Instrument?: A Case for Environmental Management Systems.” Journal of Environmental Economics and Management 55 (3): 281–295. https://doi.org/10.1016/j.jeem.2007.09.002.
   Web of Science ®Google Scholar
• Arrow, K., T. Harris, and J. Marschak. 1951. “Optimal Inventory Policy.” Econometrica 19 (3): 250–272. https://doi.org/10.2307/1906813.
   Web of Science ®Google Scholar
• Barcos, L., A. Barroso, J. Surroca, and J. A. Tribo. 2013. “Corporate Social Responsibility and Inventory Policy.” International Journal of Production Economics 143 (2): 580–588. https://doi.org/10.1016/j.ijpe.2012.04.005.
   Web of Science ®Google Scholar
• Barrage, L., E. Chyn, and J. Hastings. 2020. “Advertising and Environmental Stewardship: Evidence from the BP oil Spill.” American Economic Journal: Economic Policy 12 (1): 33–61. https://doi.org/10.1257/pol.20160555.
   PubMed Web of Science ®Google Scholar
• Benkherouf, L., and A. Bensoussan. 2009. “Optimality of an (s,) Policy with Compound Poisson and Diffusion Demands: A Quasi-Variational Inequalities Approach.” SIAM Journal on Control and Optimization 48 (2): 756–762. https://doi.org/10.1137/080715883.
   Web of Science ®Google Scholar
• Benkherouf, L., and S. P. Sethi. 2010. “Optimality of (s, S) Policies for a Stochastic Inventory Model with Proportional and Lump-sum Shortage Costs.” Operations Research Letters 38 (4): 252–255. https://doi.org/10.1016/j.orl.2010.02.008.
   Web of Science ®Google Scholar
• Bensoussan, A., M. Cakanyildirim, Q. Feng, and S. P. Sethi. 2009. “Optimal Ordering Policies for Stochastic Inventory Problems with Observed Information Delays.” Production and Operations Management 18 (5): 546–559. https://doi.org/10.1111/j.1937-5956.2009.01028.x.
   Web of Science ®Google Scholar
• Bensoussan, A., M. Crouhy, and J.-M. Proth. 1983. Mathematical Theory of Production Planning. Amsterdam, The Netherlands: North-Holland.
   Google Scholar
• Bensoussan, A., and J. L. Lions. 1987. Impulse Control and Quasi Variational Inequalities. Toronto.: Wiley.
   Google Scholar
• Bensoussan, A., R. H. Liu, and S. P. Sethi. 2005. “Optimality of an (s,) Policy with Compound Poisson and Diffusion Demands: A Quasi-Variational Inequalities Approach.” SIAM Journal on Control and Optimization 44 (5): 1650–1676. https://doi.org/10.1137/S0363012904443737.
   Web of Science ®Google Scholar
• Bensoussan, A., S. Skaaning, and J. Turi. 2018. “Inventory Control with Fixed Cost and Price Optimization in Continuous Time.” Journal of Applied Analysis and Computation 8 (3): 805–835. https://doi.org/10.11948/2018.805.
   Web of Science ®Google Scholar
• Bensoussan, A., and C. S. Tapiero. 1982. “Impulsive Control in Management: Prospects and Applications.” Journal of Optimization Theory and Applications 37 (4): 419–442. https://doi.org/10.1007/BF00934950.
   Web of Science ®Google Scholar
• Borck, J. C., and C. Coglianese. 2009. “Voluntary Environmental Programs: Assessing Their Effectiveness.” Annual Review of Environment and Resources 34: 305–324. https://doi.org/10.1146/annurev.environ.032908.091450.
   Web of Science ®Google Scholar
• Cadenillas, A., P. Lakner, and M. Pinedo. 2010. “Optimal Control of a Mean-Reverting Inventory.” Operations Research 58 (6): 1697–1710. https://doi.org/10.1287/opre.1100.0835.
   Web of Science ®Google Scholar
• Chen, C., and G. E. Monahan. 2010. “Environmental Safety Stock: The Impacts of Regulatory and Voluntary Control Policies on Production Planning, Inventory Control, and Environmental Performance.” European Journal of Operational Research 207 (3): 1280–1292. https://doi.org/10.1016/j.ejor.2010.06.028.
   Web of Science ®Google Scholar
• Chen, F., S. Ray, and Y. Song. 2006. “Optimal Pricing and Inventory Control Policy in Periodic-Review Systems with Fixed Ordering Cost and Lost Sales.” Naval Research Logistics 53 (2): 117–136. https://doi.org/10.1002/nav.20127.
   Web of Science ®Google Scholar
• Chen, X., and D. Simchi-Levi. 2004a. “Coordinating Inventory Control and Pricing Strategies with Random Demand and Fixed Ordering Cost: The Finite Horizon Case.” Operations Research 52 (6): 887–896. https://doi.org/10.1287/opre.1040.0127.
   Web of Science ®Google Scholar
• Chen, X., and D. Simchi-Levi. 2004b. “Coordinating Inventory Control and Pricing Strategies with Random Demand and Fixed Ordering Cost: The Infinite Horizon Case.” Mathematics of Operations Research 29 (3): 698–723. https://doi.org/10.1287/moor.1040.0093.
   Web of Science ®Google Scholar
• Corbett, C. J., and R. D. Klassen. 2006. “Extending the Horizons: Environmental Excellence as key to Improving Operations.” Manufacturing and Service Operations Management 8 (1): 5–22. https://doi.org/10.1287/msom.1060.0095.
   Web of Science ®Google Scholar
• Dolgui, A., and J. M. Proth. 2010. Supply Chain Engineering: Useful Methods and Techniques. London: Springer.
   Google Scholar
• Drake, D., P. R. Kleindorfer, and L. N. Van Wassenhove. 2016. “Technology Choice and Capacity Portfolios Under Emissions Regulation.” Production and Operations Management 25 (6): 1006–1025. https://doi.org/10.1111/poms.12523.
   Web of Science ®Google Scholar
• El Ouardighi, F., J. E. Sim, and B. Kim. 2016. “Pollution Accumulation and Abatement Policy in a Supply Chain.” European Journal of Operational Research 248 (3): 982–996. https://doi.org/10.1016/j.ejor.2015.08.009.
   Web of Science ®Google Scholar
• El Ouardighi, F., J. E. Sim, and B. Kim. 2021. “Pollution Accumulation and Abatement Policies in two Supply Chains Under Vertical and Horizontal Competition and Strategy Types.” Omega 98 (102108): 1–35. https://doi.org/10.1016/j.omega.2019.102108.
   Google Scholar
• Fox, E., R. Metters, and J. Semple. 2006. “Optimal Inventory Policy with Two Suppliers.” Operations Research 54 (2): 389–393. https://doi.org/10.1287/opre.1050.0229.
   Web of Science ®Google Scholar
• Herbon, A. 2021. “Managing an Expiring Product Under a Market That is Heterogeneous in the Sensitivity to the Retailer's Reputation.” International Journal of Production Economics 232: 107990. https://doi.org/10.1016/j.ijpe.2020.107990.
   Google Scholar
• Heydari, J., K. Govindan, and Z. Basiri. 2021. “Balancing Price and Green Quality in Presence of Consumer Environmental Awareness: A Green Supply Chain Coordination Approach.” International Journal of Production Research 59 (7): 1957–1975. https://doi.org/10.1080/00207543.2020.1771457.
   Web of Science ®Google Scholar
• Hollier, R. H., K. L. Makj, and C. J. Lam. 1995. “Continuous Review (s,) Policies for Inventory Systems Incorporating a Cutoff Transaction Size.” International Journal of Production Research 33 (10): 2855–2865. https://doi.org/10.1080/00207549508904849.
   Web of Science ®Google Scholar
• Hong, Z., Y. Zhang, Y. Yu, and C. Chu. 2020. “Dynamic Pricing for Remanufacturing Within Socially Environmental Incentives.” International Journal of Production Research 58 (13): 3976–3997. https://doi.org/10.1080/00207543.2019.1637037.
   Web of Science ®Google Scholar
• Huh, W. T., and G. Janakiraman. 2008. “(s,) Optimality in Joint Inventory-Pricing Control: An Alternate Approach.” Operations Research 56 (3): 783–790. https://doi.org/10.1287/opre.1070.0462.
   Web of Science ®Google Scholar
• Innes, R., and A. G. Sam. 2008. “Voluntary Pollution Reductions and the Enforcement of Environmental law: An Empirical Study of the 33/50 Program.” The Journal of Law and Economics 51 (2): 271–296. https://doi.org/10.1086/589659.
   Web of Science ®Google Scholar
• Jabbour, C. J. C., A. B. L. de Sousa Jabbour, K. Govindan, T. P. de Freitas, D. F. Soubihia, D. Kannan, and H. Latan. 2016. “Barriers to the Adoption of Green Operational Practices at Brazilian Companies: Effects on Green and Operational Performance.” International Journal of Production Research 54 (10): 3042–3058. https://doi.org/10.1080/00207543.2016.1154997.
   Web of Science ®Google Scholar
• Jaber, M. Y., C. H. Glock, and A. M. A. El Saadany. 2013. “Supply Chain Coordination with Emissions Reduction Incentives.” International Journal of Production Research 51 (1): 69–82. https://doi.org/10.1080/00207543.2011.651656.
   Web of Science ®Google Scholar
• Jacobs, B. W., V. R. Singhal, and R. Subramanian. 2010. “An Empirical Investigation of Environmental Performance and the Market Value of the Firm.” Journal of Operations Management 28 (5): 430–441. https://doi.org/10.1016/j.jom.2010.01.001.
   Web of Science ®Google Scholar
• Kalymon, B. A. 1971. “Stochastic Prices in a Single-Item Inventory Purchasing Model.” Operations Research 19 (6): 1434–1458. https://doi.org/10.1287/opre.19.6.1434.
   Web of Science ®Google Scholar
• Kelle, P., and A. Milne. 1999. “The Effect of (s, S) Ordering Policy on the Supply Chain.” International Journal of Production Economics 59 (1-3): 113–122. https://doi.org/10.1016/S0925-5273(98)00232-1.
   Web of Science ®Google Scholar
• Khmelnitsky, E., and G. Singer. 2015. “An Optimal Inventory Management Problem with Reputation-Dependent Demand.” Annals of Operations Research 231 (1): 305–316. https://doi.org/10.1007/s10479-014-1600-z.
   Web of Science ®Google Scholar
• King, A., and M. Lenox. 2002. “Exploring the Locus of Profitable Pollution Reduction.” Management Science 48 (2): 289–299. https://doi.org/10.1287/mnsc.48.2.289.258.
   Web of Science ®Google Scholar
• Kleindorfer, P. R., K. Singhal, and L. N. Van Wassenhove. 2005. “Sustainable Operations Management.” Production and Operations Management 14 (4): 482–492. https://doi.org/10.1111/j.1937-5956.2005.tb00235.x.
   Web of Science ®Google Scholar
• Koehler, D. A. 2007. “The Effectiveness of Voluntary Environmental Programs – A Policy at a Crossroads?” Policy Studies Journal 35 (4): 689–722. https://doi.org/10.1111/j.1541-0072.2007.00244.x.
   Web of Science ®Google Scholar
• Krass, D., T. Nedorezov, and A. Ovchinnikov. 2013. “Environmental Taxes and the Choice of Green Technology.” Production and Operations Management 22 (5): 1035–1055. https://doi.org/10.1111/poms.12023.
   Web of Science ®Google Scholar
• Kroes, J., R. Subramanian, and R. Subramanyam. 2012. “Operational Compliance Levers, Environmental Performance, and Firm Performance Under cap and Trade Regulation.” Manufacturing & Service Operations Management 14 (2): 186–201. https://doi.org/10.1287/msom.1110.0357.
   Web of Science ®Google Scholar
• Larson, C. E., L. J. Olson, and S. Sharma. 2001. “Optimal Inventory Policies When the Demand Distribution is not Known.” Journal of Economic Theory 101 (1): 281–300. https://doi.org/10.1006/jeth.2000.2772.
   Web of Science ®Google Scholar
• Mc Kinsey. 2019. New Age of the Consumer. US Survey.
   Google Scholar
• Minor, Dylan, and John Morgan. 2011. “CSR as Reputation Insurance: Primum non Nocere.” California Management Review 53 (3): 40–59. https://doi.org/10.1525/cmr.2011.53.3.40.
   Web of Science ®Google Scholar
• Perera, S., and S. P. Sethi. 2022. “A Survey of Stochastic Inventory Models with Fixed Costs: Optimality of (s, S)-Type Policies.” Production and Operations Management 32 (1): 131–153. https://doi.org/10.1111/poms.13820.
   Google Scholar
• Porteous, A. H., S. V. Rammohan, and H. L. Lee. 2015. “Carrots or Sticks? Improving Social and Environmental Compliance at Suppliers Through Incentives and Penalties.” Production and Operations Management 24 (9): 1402–1413. https://doi.org/10.1111/poms.12376.
   Web of Science ®Google Scholar
• Porteus, E. L.. 1990. “Stochastic Inventory Theory.” In Handbooks in Operations Research & Management Science, Vol. 2, Chap. 12, edited by D. P. Heyman and M. J. Sobel, 605–652. Amsterdam: Elsevier Science Publishers.
   Google Scholar
• Potoski, M., and A. Prakash. 2005. “Green Clubs and Voluntary Governance: Iso 14001 and Firms’ Regulatory Compliance.” American Journal of Political Science 49 (2): 235–248. https://doi.org/10.1111/j.0092-5853.2005.00120.x.
   Web of Science ®Google Scholar
• Ravichandran, N. 1995. “Stochastic Analysis of a Continuous Review Perishable Inventory System with Positive Lead Time and Poisson Demand.” European Journal of Operational Research 84 (2): 444–457. https://doi.org/10.1016/0377-2217(93)E0254-U.
   Web of Science ®Google Scholar
• Sarkis, J., and Q. Zhu. 2018. “Environmental Sustainability and Production: Taking the Road Less Travelled.” International Journal of Production Research 56 (1-2): 743–759. https://doi.org/10.1080/00207543.2017.1365182.
   Web of Science ®Google Scholar
• Scarf, H. 1960. “The Optimality of (s,S) Policies in Dynamic Inventory Problems.” In Mathematical Methods in Social Sciences, edited by K. J. Arrow, S. Karlin, and P. Suppes, 196–202. Stanford: Stanford University Press.
   Google Scholar
• Sethi, S. P., and F. Cheng. 1997. “Optimality of (s,S) Policies in Inventory Models with Markovian Demand.” Operations Research 45 (6): 931–939. https://doi.org/10.1287/opre.45.6.931.
   Web of Science ®Google Scholar
• Silver, E. A. 1974. “A Control System for Coordinated Inventory Replenishment.” International Journal of Production Research 12 (6): 647–671. https://doi.org/10.1080/00207547408919583.
   Google Scholar
• Sim, J. E., F. El Ouardighi, and B. Kim. 2019. “Economic and Environmental Impact of Vertical Decision Sequences Under Vertical and Horizontal Competition and Integration.” Naval Research Logistics 66 (2): 133–153. https://doi.org/10.1002/nav.21832.
   Web of Science ®Google Scholar
• Song, Y., S. Ray, and T. Boyaci. 2009. “Optimal Dynamic Joint Inventory-Pricing Control for Multiplicative Demand with Fixed Order Costs and Lost Sales.” Operations Research 57 (1): 245–250. https://doi.org/10.1287/opre.1080.0530.
   Web of Science ®Google Scholar
• Wu, J. J. 2009. “Environmental Compliance: The Good, the bad, and the Super Green.” Journal of Environmental Economics and Management 90 (11): 3363–3381. https://doi.org/10.1016/j.jenn.2009.05.017.
   Google Scholar
• Xiao, W., C. Gaimon, R. Subramanian, and M. Biehl. 2019. “Investment in Environmental Process Improvement.” Production and Operations Management 28 (2): 407–420. https://doi.org/10.1111/poms.12927.
   Web of Science ®Google Scholar
• Zipkin, P. 2008. “On the Structure of Lost-Sales Inventory Model.” Operations Research 56 (4): 937–944. https://doi.org/10.1287/opre.1070.0482.
   Web of Science ®Google Scholar