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Study on government subsidy in a two-level supply chain of direct-fired biomass power generation based on contract coordination
1. | School of Economics and Management Beijing Forestry University, Beijing, 100091, China |
2. | Neusoft Education Technology Group, Dalian Neusoft University of Information, Dalian, 116023, China |
3. | School of Economics and Management, Zhengzhou University of Light Industry, Zhengzhou, 450001, China |
Biomass power generation is helpful to build a clean, low-carbon, and green energy system, but the shortage of raw materials supply severely restricts the development of the biomass power generation industry in China. To solve problems of supply chain disharmony and low efficiency of government subsidy caused by stochastic factors in biomass power supply chain, this paper studies the decision-making of government subsidy on biomass power generation supply chain. First, a two-level supply chain model under stochastic supply and stochastic output environment is built. The two-level supply chain consists of farmers and the biomass power plant. Second, to achieve the coordination of the two-level supply chain through the calculation of the model, it sets up the combined contract model based on surplus compensation, shortage penalty, and revenue sharing. Then, the validity of the contract is demonstrated by the data obtained from the field survey. Finally, depending on the model and contract coordination results of the supply chain, the impacts of government subsidies on two members' decision-making are analyzed, and the changes of members' profits and chain's profits are discussed. Therefore, the government subsidy strategy for biomass direct-fired power generation is proposed.
References:
[1] |
L. Ari, A. Antti, K. Jyrki-Pekko, P. Marjo and S. Lauri,
Improving the financial performance of solid forest fuel supply using a simple moisture and dry matter loss simulation and optimization, Biomass and Bioenergy, 116 (2018), 72-79.
|
[2] |
G. P. Cachon,
Supply chain coordination with contracts, Handbooks in Operations Research and Management Science, 11 (2003), 227-339.
doi: 10.1016/S0927-0507(03)11006-7. |
[3] |
R. Fan, L. Dong, E. Policy and and N. France,
The dynamic analysis and simulation of government subsidy strategies in low-carbon diffusion considering the behavior of heterogeneous agents, Energy Policy, 117 (2018), 252-262.
|
[4] |
A. Ghadge, S. Dani, R. Ojha and N. Caldwell,
Using risk sharing contracts for supply chain risk mitigation: A buyer-supplier power and dependence perspective, Computers and Industrial Engineering, 103 (2017), 262-270.
doi: 10.1016/j.cie.2016.11.034. |
[5] |
B. C. Giri, S. Bardhan and T. Maiti,
Coordinating a three-layer supply chain with uncertain demand and random yield, International Journal of Production Research, 54 (2017), 1-20.
|
[6] |
B. C. Giri, J. K. Majhi, S. Bardhan and K. S. Chaudhuri,
Coordinating a three-level supply chain with effort and price dependent stochastic demand under random yield, Ann. Oper. Res., 307 (2021), 175-206.
doi: 10.1007/s10479-021-04257-z. |
[7] |
A. Hafezalkotob,
Competition of two green and regular supply chains under environmental protection and revenue seeking policies of government, Computers and Industrial Engineering, 82 (2015), 103-114.
|
[8] |
J. Heydari, K. Govindan and R. Sadeghi,
Reverse supply chain coordination under stochastic remanufacturing capacity, International Journal of Production Economics, 202 (2018), 1-11.
|
[9] |
B. Hu and Y. Feng,
Optimization and coordination of supply chain with revenue sharing contracts and service requirement under supply and demand uncertainty, International Journal of Production Economics, 183 (2017), 185-193.
|
[10] |
C. Jing,
Returns with wholesale-price-discount contract in a newsvendor problem, International Journal of Production Economics, 130 (2011), 104-111.
|
[11] |
J. Li, Y. Li and S. Zhang,
Optimal expansion timing decisions in multi-stage PPP projects involving dedicated asset and government subsidies, J. Ind. Manag. Optim., 16 (2020), 2065-2086.
doi: 10.3934/jimo.2019043. |
[12] |
Y. Li and Y. Wei, Research on green supply chain coordination considering stochastic demand and blockchain doncepts, Systems Engineering, (2021). |
[13] |
C. H. Lim and H. L. Lam,
Biomass supply chain optimisation via novel biomass element life cycle Analysis (BELCA), Applied Energy, 161 (2016), 733-745.
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[14] |
Q. Lin, Q. Zhao and B. Lev,
Influenza vaccine supply chain coordination under uncertain supply and demand, European J. Oper. Res., 297 (2022), 930-948.
doi: 10.1016/j.ejor.2021.05.025. |
[15] |
F. Morandi and H. Ostergard, Sustainability assessment of two chains of biomass supply from field to bioenergy, Dtu Sustain Conference, (2014). |
[16] |
B. A. Pasternack, Optimal pricing and return policies for perishable commodities, Marketing Science, (2008). |
[17] |
F. Salimi and B. Vandani,
Designing a bio-fuel network considering links reliability and risk-pooling effect in bio-refineries, Reliability Engineering and System Safety, 174 (2018), 96-107.
|
[18] |
J. J. Spengler,
Vertical integration and antitrust policy, Journal of Political Economy, 58 (1950), 347-352.
|
[19] |
C. Wang, W. Wang and R. Huang,
Supply chain enterprise operations and government carbon tax decisions considering carbon emissions, Journal of Cleaner Production, 152 (2017), 271-280.
|
[20] |
G. Xie,
Cooperative strategies for sustainability in a decentralized supply chain with competing suppliers, Journal of Cleaner Production, 113 (2016), 807-821.
|
[21] |
J. Yan and G. H. Zheng,
Coordination contracts for supply chain considering supply disruption and loss aversion, Journal of Railway Science and Engineering, 17 (2020), 9.
|
[22] |
H. Yang and W. Chen,
Retailer-driven carbon emission abatement with consumer environmental awareness and carbon tax: Revenue-sharing versus Cost-sharing, Omega, 78 (2018), 179-191.
|
[23] |
H. Yang, Y. Sun and Y. Gong, The agricultural supply chain dontracts under random yield, Systems Engineering, (2021). |
[24] |
S. Yang, J. Yang and L. Abdel-Malek,
Sourcing with random yields and stochastic demand: A newsvendor approach, Computers & Operations Research, 34 (2007), 3682-3690.
|
[25] |
F. Ye, Y. Li, Q. Lin and Y. Zhan,
Modeling of China's cassava-based bioethanol supply chain operation and coordination, Energy, 120 (2017), 217-228.
|
[26] |
S. Zhao and Q. Zhu,
Remanufacturing supply chain coordination under the stochastic remanufacturability rate and the random demand, Ann. Oper. Res., 257 (2017), 661-695.
doi: 10.1007/s10479-015-2021-3. |
show all references
References:
[1] |
L. Ari, A. Antti, K. Jyrki-Pekko, P. Marjo and S. Lauri,
Improving the financial performance of solid forest fuel supply using a simple moisture and dry matter loss simulation and optimization, Biomass and Bioenergy, 116 (2018), 72-79.
|
[2] |
G. P. Cachon,
Supply chain coordination with contracts, Handbooks in Operations Research and Management Science, 11 (2003), 227-339.
doi: 10.1016/S0927-0507(03)11006-7. |
[3] |
R. Fan, L. Dong, E. Policy and and N. France,
The dynamic analysis and simulation of government subsidy strategies in low-carbon diffusion considering the behavior of heterogeneous agents, Energy Policy, 117 (2018), 252-262.
|
[4] |
A. Ghadge, S. Dani, R. Ojha and N. Caldwell,
Using risk sharing contracts for supply chain risk mitigation: A buyer-supplier power and dependence perspective, Computers and Industrial Engineering, 103 (2017), 262-270.
doi: 10.1016/j.cie.2016.11.034. |
[5] |
B. C. Giri, S. Bardhan and T. Maiti,
Coordinating a three-layer supply chain with uncertain demand and random yield, International Journal of Production Research, 54 (2017), 1-20.
|
[6] |
B. C. Giri, J. K. Majhi, S. Bardhan and K. S. Chaudhuri,
Coordinating a three-level supply chain with effort and price dependent stochastic demand under random yield, Ann. Oper. Res., 307 (2021), 175-206.
doi: 10.1007/s10479-021-04257-z. |
[7] |
A. Hafezalkotob,
Competition of two green and regular supply chains under environmental protection and revenue seeking policies of government, Computers and Industrial Engineering, 82 (2015), 103-114.
|
[8] |
J. Heydari, K. Govindan and R. Sadeghi,
Reverse supply chain coordination under stochastic remanufacturing capacity, International Journal of Production Economics, 202 (2018), 1-11.
|
[9] |
B. Hu and Y. Feng,
Optimization and coordination of supply chain with revenue sharing contracts and service requirement under supply and demand uncertainty, International Journal of Production Economics, 183 (2017), 185-193.
|
[10] |
C. Jing,
Returns with wholesale-price-discount contract in a newsvendor problem, International Journal of Production Economics, 130 (2011), 104-111.
|
[11] |
J. Li, Y. Li and S. Zhang,
Optimal expansion timing decisions in multi-stage PPP projects involving dedicated asset and government subsidies, J. Ind. Manag. Optim., 16 (2020), 2065-2086.
doi: 10.3934/jimo.2019043. |
[12] |
Y. Li and Y. Wei, Research on green supply chain coordination considering stochastic demand and blockchain doncepts, Systems Engineering, (2021). |
[13] |
C. H. Lim and H. L. Lam,
Biomass supply chain optimisation via novel biomass element life cycle Analysis (BELCA), Applied Energy, 161 (2016), 733-745.
|
[14] |
Q. Lin, Q. Zhao and B. Lev,
Influenza vaccine supply chain coordination under uncertain supply and demand, European J. Oper. Res., 297 (2022), 930-948.
doi: 10.1016/j.ejor.2021.05.025. |
[15] |
F. Morandi and H. Ostergard, Sustainability assessment of two chains of biomass supply from field to bioenergy, Dtu Sustain Conference, (2014). |
[16] |
B. A. Pasternack, Optimal pricing and return policies for perishable commodities, Marketing Science, (2008). |
[17] |
F. Salimi and B. Vandani,
Designing a bio-fuel network considering links reliability and risk-pooling effect in bio-refineries, Reliability Engineering and System Safety, 174 (2018), 96-107.
|
[18] |
J. J. Spengler,
Vertical integration and antitrust policy, Journal of Political Economy, 58 (1950), 347-352.
|
[19] |
C. Wang, W. Wang and R. Huang,
Supply chain enterprise operations and government carbon tax decisions considering carbon emissions, Journal of Cleaner Production, 152 (2017), 271-280.
|
[20] |
G. Xie,
Cooperative strategies for sustainability in a decentralized supply chain with competing suppliers, Journal of Cleaner Production, 113 (2016), 807-821.
|
[21] |
J. Yan and G. H. Zheng,
Coordination contracts for supply chain considering supply disruption and loss aversion, Journal of Railway Science and Engineering, 17 (2020), 9.
|
[22] |
H. Yang and W. Chen,
Retailer-driven carbon emission abatement with consumer environmental awareness and carbon tax: Revenue-sharing versus Cost-sharing, Omega, 78 (2018), 179-191.
|
[23] |
H. Yang, Y. Sun and Y. Gong, The agricultural supply chain dontracts under random yield, Systems Engineering, (2021). |
[24] |
S. Yang, J. Yang and L. Abdel-Malek,
Sourcing with random yields and stochastic demand: A newsvendor approach, Computers & Operations Research, 34 (2007), 3682-3690.
|
[25] |
F. Ye, Y. Li, Q. Lin and Y. Zhan,
Modeling of China's cassava-based bioethanol supply chain operation and coordination, Energy, 120 (2017), 217-228.
|
[26] |
S. Zhao and Q. Zhu,
Remanufacturing supply chain coordination under the stochastic remanufacturability rate and the random demand, Ann. Oper. Res., 257 (2017), 661-695.
doi: 10.1007/s10479-015-2021-3. |



r | b | x | q | |||
0 | 7/18 | 259 | 55 | 161135 | 173087 | |
10 | 17/45 | 265 | 47 | 164141 | 173020 | |
20 | 11/30 | 271 | 38 | 167091 | 172956 | |
30 | 16/45 | 278 | 29 | 169989 | 172895 | |
40 | 31/90 | 285 | 20 | 172838 | 172838 | |
50 | 1/3 | 292 | 10 | 175639 | 172783 |
r | b | x | q | |||
0 | 7/18 | 259 | 55 | 161135 | 173087 | |
10 | 17/45 | 265 | 47 | 164141 | 173020 | |
20 | 11/30 | 271 | 38 | 167091 | 172956 | |
30 | 16/45 | 278 | 29 | 169989 | 172895 | |
40 | 31/90 | 285 | 20 | 172838 | 172838 | |
50 | 1/3 | 292 | 10 | 175639 | 172783 |
x | q | |||||
0 | 2/9 | 2999732 | 18998304 | 21998036 | 155921 | 167486 |
10 | 19/90 | 2455410 | 18661118 | 21116528 | 158725 | 167310 |
20 | 1/5 | 1928749 | 18323116 | 20251865 | 161468 | 167135 |
30 | 17/90 | 1419743 | 17983412 | 19403156 | 164153 | 166959 |
40 | 8/45 | 928479 | 17641108 | 18569587 | 166783 | 166783 |
50 | 1/6 | 455139 | 17295277 | 17750416 | 169359 | 166605 |
x | q | |||||
0 | 2/9 | 2999732 | 18998304 | 21998036 | 155921 | 167486 |
10 | 19/90 | 2455410 | 18661118 | 21116528 | 158725 | 167310 |
20 | 1/5 | 1928749 | 18323116 | 20251865 | 161468 | 167135 |
30 | 17/90 | 1419743 | 17983412 | 19403156 | 164153 | 166959 |
40 | 8/45 | 928479 | 17641108 | 18569587 | 166783 | 166783 |
50 | 1/6 | 455139 | 17295277 | 17750416 | 169359 | 166605 |
x | q | |||||
0 | 0 | -1407826 | -8916234 | -10324060 | 144216 | 154913 |
10 | 0 | -1116079 | -8482206 | -9598285 | 147293 | 155260 |
20 | 0 | -843398 | -8012288 | -8855686 | 150340 | 155617 |
30 | 0 | -592460 | -7504496 | -8096956 | 153361 | 155983 |
40 | 0 | -366136 | -6956586 | -7322722 | 156358 | 156358 |
50 | 0 | -167527 | -6366028 | -6533555 | 159334 | 156743 |
0 | 0.057 | -310685 | -1967673 | -2278359 | 148015 | 158994 |
10 | 0.057 | -178318 | -1355214 | -1533532 | 151145 | 159321 |
20 | 0.057 | -73484 | -698095 | -771579 | 154244 | 159658 |
30 | 0.057 | 496 | 6284 | 6780 | 157314 | 160003 |
40 | 0.057 | 40045 | 760846 | 800891 | 160357 | 160357 |
50 | 0.057 | 41286 | 1568873 | 1610159 | 163376 | 160719 |
0 | 0.157 | 1675358 | 10610602 | 12285960 | 153230 | 164596 |
10 | 0.157 | 1518248 | 11538685 | 13056933 | 156431 | 164893 |
20 | 0.157 | 1318612 | 12526818 | 13845431 | 159597 | 165198 |
30 | 0.157 | 1072002 | 13578691 | 14650692 | 162729 | 165511 |
40 | 0.157 | 773601 | 14698425 | 15472027 | 165831 | 165831 |
50 | 0.157 | 418174 | 15890630 | 16308805 | 168905 | 166159 |
0 | 0.257 | 3712806 | 23514436 | 27227242 | 157182 | 168841 |
10 | 0.257 | 3257909 | 24760109 | 28018018 | 160434 | 169112 |
20 | 0.257 | 2745391 | 26081216 | 28826607 | 163647 | 169390 |
30 | 0.257 | 2169674 | 27482542 | 29652217 | 166824 | 169675 |
40 | 0.257 | 1524706 | 28969420 | 30494127 | 169967 | 169967 |
50 | 0.257 | 803889 | 30547792 | 31351681 | 173080 | 170266 |
0 | 0.357 | 5783661 | 36629858 | 42413519 | 160282 | 172171 |
10 | 0.357 | 5025561 | 38194268 | 43219829 | 163572 | 172420 |
20 | 0.357 | 4194682 | 39849485 | 44044167 | 166820 | 172676 |
30 | 0.357 | 3284320 | 41601399 | 44885719 | 170031 | 172937 |
40 | 0.357 | 2287187 | 43456554 | 45743741 | 173205 | 173205 |
50 | 0.357 | 1195321 | 45422232 | 46617553 | 176346 | 173479 |
x | q | |||||
0 | 0 | -1407826 | -8916234 | -10324060 | 144216 | 154913 |
10 | 0 | -1116079 | -8482206 | -9598285 | 147293 | 155260 |
20 | 0 | -843398 | -8012288 | -8855686 | 150340 | 155617 |
30 | 0 | -592460 | -7504496 | -8096956 | 153361 | 155983 |
40 | 0 | -366136 | -6956586 | -7322722 | 156358 | 156358 |
50 | 0 | -167527 | -6366028 | -6533555 | 159334 | 156743 |
0 | 0.057 | -310685 | -1967673 | -2278359 | 148015 | 158994 |
10 | 0.057 | -178318 | -1355214 | -1533532 | 151145 | 159321 |
20 | 0.057 | -73484 | -698095 | -771579 | 154244 | 159658 |
30 | 0.057 | 496 | 6284 | 6780 | 157314 | 160003 |
40 | 0.057 | 40045 | 760846 | 800891 | 160357 | 160357 |
50 | 0.057 | 41286 | 1568873 | 1610159 | 163376 | 160719 |
0 | 0.157 | 1675358 | 10610602 | 12285960 | 153230 | 164596 |
10 | 0.157 | 1518248 | 11538685 | 13056933 | 156431 | 164893 |
20 | 0.157 | 1318612 | 12526818 | 13845431 | 159597 | 165198 |
30 | 0.157 | 1072002 | 13578691 | 14650692 | 162729 | 165511 |
40 | 0.157 | 773601 | 14698425 | 15472027 | 165831 | 165831 |
50 | 0.157 | 418174 | 15890630 | 16308805 | 168905 | 166159 |
0 | 0.257 | 3712806 | 23514436 | 27227242 | 157182 | 168841 |
10 | 0.257 | 3257909 | 24760109 | 28018018 | 160434 | 169112 |
20 | 0.257 | 2745391 | 26081216 | 28826607 | 163647 | 169390 |
30 | 0.257 | 2169674 | 27482542 | 29652217 | 166824 | 169675 |
40 | 0.257 | 1524706 | 28969420 | 30494127 | 169967 | 169967 |
50 | 0.257 | 803889 | 30547792 | 31351681 | 173080 | 170266 |
0 | 0.357 | 5783661 | 36629858 | 42413519 | 160282 | 172171 |
10 | 0.357 | 5025561 | 38194268 | 43219829 | 163572 | 172420 |
20 | 0.357 | 4194682 | 39849485 | 44044167 | 166820 | 172676 |
30 | 0.357 | 3284320 | 41601399 | 44885719 | 170031 | 172937 |
40 | 0.357 | 2287187 | 43456554 | 45743741 | 173205 | 173205 |
50 | 0.357 | 1195321 | 45422232 | 46617553 | 176346 | 173479 |
x | Q | p | |||||
0 | 0.393 | 150340 | 155617 | 57988171 | 66000459 | -8012288 | -13.82% |
0.007 | 0.4 | 150862 | 156157 | 59200760 | 66326206 | -7125446 | -12.04% |
0.057 | 0.45 | 154244 | 159658 | 67808514 | 68506609 | -698095 | -1.03% |
0.107 | 0.5 | 157120 | 162635 | 76338929 | 70475997 | 5862932 | 7.68% |
0.157 | 0.55 | 159596 | 165198 | 84805198 | 72278380 | 12526818 | 14.77% |
0.207 | 0.6 | 161753 | 167430 | 93218692 | 73947086 | 19271606 | 20.67% |
0.257 | 0.65 | 163647 | 169390 | 101586998 | 75505782 | 26081216 | 25.67% |
0.307 | 0.7 | 165324 | 171127 | 109917862 | 76974277 | 32943585 | 29.97% |
x | Q | p | |||||
0 | 0.393 | 150340 | 155617 | 57988171 | 66000459 | -8012288 | -13.82% |
0.007 | 0.4 | 150862 | 156157 | 59200760 | 66326206 | -7125446 | -12.04% |
0.057 | 0.45 | 154244 | 159658 | 67808514 | 68506609 | -698095 | -1.03% |
0.107 | 0.5 | 157120 | 162635 | 76338929 | 70475997 | 5862932 | 7.68% |
0.157 | 0.55 | 159596 | 165198 | 84805198 | 72278380 | 12526818 | 14.77% |
0.207 | 0.6 | 161753 | 167430 | 93218692 | 73947086 | 19271606 | 20.67% |
0.257 | 0.65 | 163647 | 169390 | 101586998 | 75505782 | 26081216 | 25.67% |
0.307 | 0.7 | 165324 | 171127 | 109917862 | 76974277 | 32943585 | 29.97% |
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