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Set |
I | Set of kitchen waste supply point i |
J | Set of potential pretreatment facility locations j |
K | Set of potential biodiesel refinery site k |
O | Set of biodiesel demand location o |
L | Set of biodiesel refinery size level l |
T | The set of t in time |
Parameter |
| Distance from kitchen waste supply point i to pretreatment facility j |
| Distance from pretreatment facility j to biodiesel refinery k |
| Distance from biodiesel refinery k to biodiesel demand point o |
| Supply of restaurant kitchen waste i at time t |
| Demand of biodiesel demand point o at time t |
| Kitchen waste processing capacity of the pretreatment facility j |
| Waste oil processing capacity of a biodiesel refinery of size l |
| Storage capacity of the pretreatment facility j |
| Storage capacity of waste cooking oil from a biodiesel refinery of size l |
| Storage capacity of biodiesel from a biodiesel refinery of size l |
| Pretreatment facility handles the cost of unit kitchen waste |
| Cost of process of waste cooking oil per unit at a biodiesel refinery |
| Transportation cost of per unit kitchen waste |
| Transportation cost of per unit waste cooking oil |
| Distance transport cost of per unit biodiesel |
| Storage cost of per unit kitchen waste |
| Storage cost of per unit waste cooking oil |
| Storage cost of per unit biodiesel |
| Fixed construction cost of the pretreatment facility at j |
| Fixed construction cost of a biodiesel refinery of size l at site k |
| Carbon emission of unit kitchen waste collection |
| Carbon emission of unit kitchen waste pretreatment |
| Carbon emission of unit waste cooking oil processing |
| Carbon emissions per kilometer transported by trucks |
| Transformation factor of kitchen waste to waste cooking oil |
| Conversion factors of waste cooking oil to biodiesel |
Decision variables |
| Quantity of kitchen waste supply point transported to pretreatment facility j at time t |
| Quantity of pretreatment facility j delivered to biodiesel refinery k at time t |
| Quantity of biodiesel refinery k transported to biodiesel demand point o at time t |
| It is 1 when position j is used to build the pretreatment plant; otherwise, it is 0 |
| It is 1 when location k is used to build a refinery of size l; otherwise, it is 0 |
| Quantity of kitchen waste processed by the pretreatment plant j at time t |
| Quantity of waste oil treated by refinery k at time t |
| Quantity of kitchen waste stored in the pretreatment facility j at time t |
| Quantity of waste oil stored in biodiesel refinery k at time t |
| Quantity of biodiesel stored in biodiesel refinery k at time t |
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