The Effect of Uncertainty on Production-Inventory Policies With Environmental Considerations

We consider a manufacturing firm whose production is characterized by polluting emissions, an incorporated pollution abatement process, and continuous-time inventory control. Recognizing the stochastic nature of both pollution and inventory dynamics, we study the impact of consumer demand and pollution uncertainty on production-inventory policies under environmental costs/taxes imposed on the manufacturer. We find that the manufacturer, facing environmental uncertainty, reduces both inventory and pollution levels in the long run. The same effect is observed in terms of inventories under proportional and progressively growing environmental taxes but not necessarily in terms of pollution. In particular, emission taxes most impact expected steady-state inventories while ambient pollution taxes combat long-run pollution levels.

[1]  F. Wirl.  International greenhouse gas emissions when global warming is a stochastic process , 2004 .

[2]  Franz Wirl,et al.  Evaluation of management strategies under environmental constraints , 1991 .

[3]  B. English.  Ecological Economics: The Science and Management of Sustainability , 1991 .

[4]  Imre Dobos,et al.  The effects of emission trading on production and inventories in the Arrow–Karlin model , 2005 .

[5]  E. Dockner,et al.  International Pollution Control: Cooperative versus Noncooperative Strategies , 1993 .

[6]  Differential Equations and Linear Algebra , 2014 .

[7]  M. Kaštelan-macan,et al.  Determination of Veterinary Pharmaceuticals in Production Wastewater by HPTLC-Videodensitometry , 2006 .

[8]  D. Larsson,et al.  Effluent from drug manufactures contains extremely high levels of pharmaceuticals. , 2007, Journal of hazardous materials.

[9]  W. Hediger.  Sustainable development with stock pollution , 2009, Environment and Development Economics.

[10]  M. K. Ghosh,et al.  Optimal control of switching diffusions with application to flexible manufacturing systems , 1993 .

[11]  Konstantin Kogan,et al.  Production control under uncertainty: Closed-loop versus open-loop approach , 2009 .

[12]  A. Zemel.  Precaution under mixed uncertainty: Implications for environmental management , 2012 .

[13]  Imre Dobos,et al.  Tradable permits and production-inventory strategies of the firm , 2007 .

[14]  Shoude Li,et al.  Emission permit banking, pollution abatement and production–inventory control of the firm , 2013 .

[15]  Peter C. Young,et al.  Data assimilation and uncertainty analysis of environmental assessment problems - an application of Stochastic Transfer Function and Generalised Likelihood Uncertainty Estimation techniques , 2003, Reliab. Eng. Syst. Saf..

[16]  Arnold W. Heemink,et al.  Data assimilation in transport models , 1997 .

[17]  N. Myers.  Ecological economics: The science and management of sustainability , 1992 .

[18]  Emissions standards and ambient environmental quality standards with stochastic environmental services , 2012 .

[19]  Franz Wirl,et al.  Consequences of irreversibilities on optimal intertemporal CO2 emission policies under uncertainty , 2006 .

[20]  A. Haurie,et al.  Time scale decomposition in production planning for unreliable flexible manufacturing systems , 1995 .