# American Institute of Mathematical Sciences

• Previous Article
Advertising games on national brand and store brand in a dual-channel supply chain
• JIMO Home
• This Issue
• Next Article
Integrated order acceptance and scheduling decision making in product service supply chain with hard time windows constraints
2018, 14(1): 135-164. doi: 10.3934/jimo.2017040

## Joint decision on pricing and waste emission level in industrial symbiosis chain

 1 School of Management, Xi'an Jiaotong University, The Key Lab of the Ministry of Education for Process Control & Efficiency Engineering, Xi'an, Shanxi 710049, China 2 School of Management, Xi'an Jiaotong University, Xi'an, Shanxi 710049, China 3 Xi'an Research Institute of Hi-Technology, Xi'an, Shanxi 710025, China

* Corresponding author: Zhongdong Xiao, Email: xzd@mail.xjtu.edu.cn

Received  January 2015 Revised  January 2017 Published  April 2017

Based on a monopoly model in industrial symbiosis chain including one upstream manufacturer and one downstream manufacturer, the price sensitive-environmental concern demand is introduced into the paper. The decision behaviors of the manufacturers in industrial symbiosis chain under environmental regulations imposed by the policy makers or the government in waste emission standard, waste emission tax and subsidy for waste usage are investigated. The results show the operational factors of the manufacturers must be taken into account in the right formulation of waste emission standard, and the simultaneous implementation of waste emission tax and subsidy for external environmental performance of the manufacturers is superior to a single policy. Environmental concerned consumers with stronger green attitude who are more willing to buy environmentally friendly products could pressurize the manufacturers into decreasing waste emission level, and the manufacturers will affirmatively involve in industrial symbiosis chain due to the intervention of environmental regulations. Especially, integrated industrial symbiosis becomes the optimal decision for the manufacturers to boost both economic benefit and environmental performance. Waste emission contract and quantity discount contract can be techniques to improve the performance of non-integrated industrial symbiosis chain.

Citation: Binbin Cao, Zhongdong Xiao, Xiaojun Li. Joint decision on pricing and waste emission level in industrial symbiosis chain. Journal of Industrial & Management Optimization, 2018, 14 (1) : 135-164. doi: 10.3934/jimo.2017040
##### References:

show all references

##### References:
Environmental regulations and waste flow in industrial symbiosis chain
Effect of $\alpha_{2}$ on price of product A
Effect of $\alpha_{2}$ on waste emission level of product A
Effect of $\beta_{2}$ on price of product B
Effect of $\beta_{2}$ on waste emission level of product B
Effect of $\alpha_{2}$ and $\beta_{2}$ on the system profit
Effect of $\alpha_{1}$ on price of product A
Effect of $\alpha_{1}$ on waste emission level of product A
Effect of $\beta_{1}$ on price of product B
Effect of $\beta_{1}$ on waste emission level of product B
Effect of $\alpha_{1}$ and $\beta_{1}$ on the system profit
The optimal interval of waste emission standard (only for product A)
 Waste emission standard Optimal waste emission level and price $\frac{4\alpha_{1}m_{A}\gamma_{A}^{0}-(a-\alpha_{1}c_{A})(\alpha_{2}-\alpha_{1}\tau)}{4\alpha_{1}m_{A}-(\alpha_{2}-\alpha_{1}\tau)^{2}}\le\bar\gamma_{A}^{I} < \bar U_{A}^{I}$ $\gamma_{A}^{I^{*}}=\frac{4\alpha_{1}m_{A}\gamma_{A}^{0}-(a-\alpha_{1}c_{A})(\alpha_{2}-\alpha_{1}\tau)}{4\alpha_{1}m_{A}-(\alpha_{2}-\alpha_{1}\tau)^{2}}$ $p_{A}^{I^{*}}=p^{I}$ $\underline U_{A}^{I} < \bar\gamma_{A}^{I} < \frac{4\alpha_{1}m_{A}\gamma_{A}^{0}-(a-\alpha_{1}c_{A})(\alpha_{2}-\alpha_{1}\tau)}{4\alpha_{1}m_{A}-(\alpha_{2}-\alpha_{1}\tau)^{2}}$ $\gamma_{A}^{I^{*}}=\bar\gamma_{A}^{I}$ $p_{A}^{I^{*}}=\frac{-\alpha_{1}\bar\gamma_{A}^{I}\tau-\alpha_{2}\bar\gamma_{A}^{I}+\alpha_{1}c_{A}+a}{2\alpha_{1}}$ $\bar\gamma_{A}^{I}\ge\bar U_{A}^{I}$ or $\bar\gamma_{A}^{I}\le\underline U_{A}^{I}$ withdraw from the market $\frac{4\alpha_{1}m_{A}\gamma_{A}^{0}-(a-\alpha_{1}c_{A})(\alpha_{2}-\alpha_{1}p_{W})}{4\alpha_{1}m_{A}-(\alpha_{2}-\alpha_{1}p_{W})^{2}}\le\bar\gamma_{A}^{NI} < \bar U_{A}^{NI}$ $\gamma_{A}^{NI^{*}}=\frac{4\alpha_{1}m_{A}\gamma_{A}^{0}-(a-\alpha_{1}c_{A})(\alpha_{2}-\alpha_{1}p_{W})}{4\alpha_{1}m_{A}-(\alpha_{2}-\alpha_{1}p_{W})^{2}}$ $p_{A}^{NI^{*}}=p^{NI}$ $\underline U_{A}^{NI} < \bar\gamma_{A}^{NI} < \frac{4\alpha_{1}m_{A}\gamma_{A}^{0}-(a-\alpha_{1}c_{A})(\alpha_{2}-\alpha_{1}p_{W})}{4\alpha_{1}m_{A}-(\alpha_{2}-\alpha_{1}p_{W})^{2}}$ $\gamma_{A}^{NI^{*}}=\bar\gamma_{A}^{NI}$ $p_{A}^{NI^{*}}=\frac{-\alpha_{1}\bar\gamma_{A}^{NI}p_{W}-\alpha_{2}\bar\gamma_{A}^{NI}+\alpha_{1}c_{A}+a}{2\alpha_{1}}$ $\bar\gamma_{A}^{NI}\ge\bar U_{A}^{NI}$ or $\bar\gamma_{A}^{NI}\le\underline U_{A}^{NI}$ withdraw from the market
 Waste emission standard Optimal waste emission level and price $\frac{4\alpha_{1}m_{A}\gamma_{A}^{0}-(a-\alpha_{1}c_{A})(\alpha_{2}-\alpha_{1}\tau)}{4\alpha_{1}m_{A}-(\alpha_{2}-\alpha_{1}\tau)^{2}}\le\bar\gamma_{A}^{I} < \bar U_{A}^{I}$ $\gamma_{A}^{I^{*}}=\frac{4\alpha_{1}m_{A}\gamma_{A}^{0}-(a-\alpha_{1}c_{A})(\alpha_{2}-\alpha_{1}\tau)}{4\alpha_{1}m_{A}-(\alpha_{2}-\alpha_{1}\tau)^{2}}$ $p_{A}^{I^{*}}=p^{I}$ $\underline U_{A}^{I} < \bar\gamma_{A}^{I} < \frac{4\alpha_{1}m_{A}\gamma_{A}^{0}-(a-\alpha_{1}c_{A})(\alpha_{2}-\alpha_{1}\tau)}{4\alpha_{1}m_{A}-(\alpha_{2}-\alpha_{1}\tau)^{2}}$ $\gamma_{A}^{I^{*}}=\bar\gamma_{A}^{I}$ $p_{A}^{I^{*}}=\frac{-\alpha_{1}\bar\gamma_{A}^{I}\tau-\alpha_{2}\bar\gamma_{A}^{I}+\alpha_{1}c_{A}+a}{2\alpha_{1}}$ $\bar\gamma_{A}^{I}\ge\bar U_{A}^{I}$ or $\bar\gamma_{A}^{I}\le\underline U_{A}^{I}$ withdraw from the market $\frac{4\alpha_{1}m_{A}\gamma_{A}^{0}-(a-\alpha_{1}c_{A})(\alpha_{2}-\alpha_{1}p_{W})}{4\alpha_{1}m_{A}-(\alpha_{2}-\alpha_{1}p_{W})^{2}}\le\bar\gamma_{A}^{NI} < \bar U_{A}^{NI}$ $\gamma_{A}^{NI^{*}}=\frac{4\alpha_{1}m_{A}\gamma_{A}^{0}-(a-\alpha_{1}c_{A})(\alpha_{2}-\alpha_{1}p_{W})}{4\alpha_{1}m_{A}-(\alpha_{2}-\alpha_{1}p_{W})^{2}}$ $p_{A}^{NI^{*}}=p^{NI}$ $\underline U_{A}^{NI} < \bar\gamma_{A}^{NI} < \frac{4\alpha_{1}m_{A}\gamma_{A}^{0}-(a-\alpha_{1}c_{A})(\alpha_{2}-\alpha_{1}p_{W})}{4\alpha_{1}m_{A}-(\alpha_{2}-\alpha_{1}p_{W})^{2}}$ $\gamma_{A}^{NI^{*}}=\bar\gamma_{A}^{NI}$ $p_{A}^{NI^{*}}=\frac{-\alpha_{1}\bar\gamma_{A}^{NI}p_{W}-\alpha_{2}\bar\gamma_{A}^{NI}+\alpha_{1}c_{A}+a}{2\alpha_{1}}$ $\bar\gamma_{A}^{NI}\ge\bar U_{A}^{NI}$ or $\bar\gamma_{A}^{NI}\le\underline U_{A}^{NI}$ withdraw from the market
The optimal price, waste emission level and system profit
 Parameters Base model Integrated model Non-integrated model Price of product A 188 140.51 128.13 Waste emission level of product A 38 35.89 36.60 Price of product B 124.86 124.57 138.86 Waste emission level of product B 17.43 17.29 24.43 System profit 8427.86 24173.90 23115.00
 Parameters Base model Integrated model Non-integrated model Price of product A 188 140.51 128.13 Waste emission level of product A 38 35.89 36.60 Price of product B 124.86 124.57 138.86 Waste emission level of product B 17.43 17.29 24.43 System profit 8427.86 24173.90 23115.00
 [1] Moritz Allmaras, David Darrow, Yulia Hristova, Guido Kanschat, Peter Kuchment. Detecting small low emission radiating sources. Inverse Problems & Imaging, 2013, 7 (1) : 47-79. doi: 10.3934/ipi.2013.7.47 [2] Florian Caro, Bilal Saad, Mazen Saad. Study of degenerate parabolic system modeling the hydrogen displacement in a nuclear waste repository. Discrete & Continuous Dynamical Systems - S, 2014, 7 (2) : 191-205. doi: 10.3934/dcdss.2014.7.191 [3] Dayi He, Xiaoling Chen, Qi Huang. Influences of carbon emission abatement on firms' production policy based on Newsboy model. Journal of Industrial & Management Optimization, 2017, 13 (1) : 251-265. doi: 10.3934/jimo.2016015 [4] O. İlker Kolak, Orhan Feyzioğlu, Ş. İlker Birbil, Nilay Noyan, Semih Yalçindağ. Using emission functions in modeling environmentally sustainable traffic assignment policies. Journal of Industrial & Management Optimization, 2013, 9 (2) : 341-363. doi: 10.3934/jimo.2013.9.341 [5] Shuhua Zhang, Xinyu Wang, Song Wang. Modeling and computation of energy efficiency management with emission permits trading. Journal of Industrial & Management Optimization, 2017, 13 (5) : 1-17. doi: 10.3934/jimo.2018010 [6] Shousheng Luo, Tie Zhou. Superiorization of EM algorithm and its application in Single-Photon Emission Computed Tomography(SPECT). Inverse Problems & Imaging, 2014, 8 (1) : 223-246. doi: 10.3934/ipi.2014.8.223 [7] Yannis Petrohilos-Andrianos, Anastasios Xepapadeas. On the evolution of compliance and regulation with tax evading agents. Journal of Dynamics & Games, 2016, 3 (3) : 231-260. doi: 10.3934/jdg.2016013 [8] Enrique R. Casares, Lucia A. Ruiz-Galindo, María Guadalupe García-Salazar. Transitional dynamics, externalities, optimal subsidy, and growth. Journal of Dynamics & Games, 2018, 5 (1) : 41-59. doi: 10.3934/jdg.2018005 [9] Ibrahim Agyemang, H. I. Freedman. A mathematical model of an Agricultural-Industrial-Ecospheric system with industrial competition. Communications on Pure & Applied Analysis, 2009, 8 (5) : 1689-1707. doi: 10.3934/cpaa.2009.8.1689 [10] Jacopo De Simoi. On cyclicity-one elliptic islands of the standard map. Journal of Modern Dynamics, 2013, 7 (2) : 153-208. doi: 10.3934/jmd.2013.7.153 [11] Abbas Bahri. Attaching maps in the standard geodesics problem on $S^2$. Discrete & Continuous Dynamical Systems - A, 2011, 30 (2) : 379-426. doi: 10.3934/dcds.2011.30.379 [12] Maksym Berezhnyi, Evgen Khruslov. Non-standard dynamics of elastic composites. Networks & Heterogeneous Media, 2011, 6 (1) : 89-109. doi: 10.3934/nhm.2011.6.89 [13] Haifeng Chu. Surgery on Herman rings of the standard Blaschke family. Discrete & Continuous Dynamical Systems - A, 2018, 38 (1) : 63-74. doi: 10.3934/dcds.2018003 [14] Michal Beneš, Tetsuya Ishiwata, Takashi Sakamoto, Shigetoshi Yazaki. Preface: Special Issue on recent topics in industrial and applied mathematics. Discrete & Continuous Dynamical Systems - S, 2015, 8 (5) : i-i. doi: 10.3934/dcdss.2015.8.5i [15] Alessandra Celletti, Sara Di Ruzza. Periodic and quasi--periodic orbits of the dissipative standard map. Discrete & Continuous Dynamical Systems - B, 2011, 16 (1) : 151-171. doi: 10.3934/dcdsb.2011.16.151 [16] Yang Lu, Quanling Zhang, Jiguo Li. An improved certificateless strong key-insulated signature scheme in the standard model. Advances in Mathematics of Communications, 2015, 9 (3) : 353-373. doi: 10.3934/amc.2015.9.353 [17] Yanan Zhao, Yuguo Lin, Daqing Jiang, Xuerong Mao, Yong Li. Stationary distribution of stochastic SIRS epidemic model with standard incidence. Discrete & Continuous Dynamical Systems - B, 2016, 21 (7) : 2363-2378. doi: 10.3934/dcdsb.2016051 [18] Yixiang Wu, Necibe Tuncer, Maia Martcheva. Coexistence and competitive exclusion in an SIS model with standard incidence and diffusion. Discrete & Continuous Dynamical Systems - B, 2017, 22 (3) : 1167-1187. doi: 10.3934/dcdsb.2017057 [19] Christopher Cox, Renato Feres. Differential geometry of rigid bodies collisions and non-standard billiards. Discrete & Continuous Dynamical Systems - A, 2016, 36 (11) : 6065-6099. doi: 10.3934/dcds.2016065 [20] Patrick Guidotti. A family of nonlinear diffusions connecting Perona-Malik to standard diffusion. Discrete & Continuous Dynamical Systems - S, 2012, 5 (3) : 581-590. doi: 10.3934/dcdss.2012.5.581

2016 Impact Factor: 0.994