|
| Sets |
|
| I | set of ranch, indexed by (i= 1,2,…,I) |
| J | set of potential biogas plant location, indexed by (j= 1,2,…J) |
| K | set of biogas plant capacity level, indexed by (k=1,2,…,K) |
|
| Parameters |
|
| maximum available animal manure |
| average acquisition cost of cattle manure |
| unit cost of biogas production at plant j ($/m3) |
| transport cost per ton-mile from cattle farm i to plant j |
| tons per truck load |
| truck hauling cost per loaded mile |
| average wet or dry content of manure (%) |
| truck loading and unloading cost of ($/tons) manure |
| investment cost of the plant at location j with plant capacity level k |
| annual operational and maintenance cost of the plant at location j with plant capacity level k |
| lifetime of biogas plant (years) |
| penalty cost for unmet demand |
| road distance (miles) between ranch i and plant j |
| maximum amount (tons) of carbon dioxide that can be emitted |
| annual production capacity for biogas plant size k |
| CO2 factor (CO2-eq. ton/dry ton) for animal manure acquisition |
| CO2 factor (CO2-eq. ton-mile/truckload) for transportation |
| CO2 factor (CO2-eq. m3/dry ton) for biogas production |
| amount (tons) of CO2 at location j with plant capacity level k |
| amount of offset methane at location j |
| α | average expected cost of carbon price in $/ton CO2 |
| θ | conversion efficiency to produce biogas from cattle manure (m3/dry ton) |
| annual natural gas demand |
|
| Decision Variables |
|
| amount of cattle manure transported to plant j from cattle farm i |
| amount of biogas converted in plant j at size k |
| 1 if biogas plant with size k is built,
0 otherwise |
| size of a biogas plant, if any, to be built at site k |
| amount of CO2 that is emitted in supply chain |
|
