RELOG accepts as input a JSON file with four sections: `parameters`, `products`, `centers` and `plants`. Below, we describe each section in more detail.
RELOG accepts as input a JSON file with four sections: `parameters`, `products`,
`centers` and `plants`. Below, we describe each section in more detail.
## Parameters
## Parameters
@ -24,11 +25,12 @@ RELOG accepts as input a JSON file with four sections: `parameters`, `products`,
| `transportation cost ($/km/tonne)` | The cost to transport this product. Must be a time series. |
| `transportation cost ($/km/tonne)` | The cost to transport this product. Must be a time series. |
| `transportation energy (J/km/tonne)` | The energy required to transport this product. Must be a time series. Optional. |
| `transportation energy (J/km/tonne)` | The energy required to transport this product. Must be a time series. Optional. |
| `transportation emissions (tonne/km/tonne)` | A dictionary mapping the name of each greenhouse gas, produced to transport one tonne of this product along one kilometer, to the amount of gas produced (in tonnes). Must be a time series. Optional. |
| `transportation emissions (tonne/km/tonne)` | A dictionary mapping the name of each greenhouse gas, produced to transport one tonne of this product along one kilometer, to the amount of gas produced (in tonnes). Must be a time series. Optional. |
| `disposal limit (tonne)` | Global disposal limit for this product, per year, across all plants and centers. Entry may be `null` if unlimited. Note that individual plants and centers may also have their individual disposal limits for this product. |
#### Example
#### Example
@ -41,7 +43,8 @@ RELOG accepts as input a JSON file with four sections: `parameters`, `products`,
| $K^{\text{dist}}_{uv}$ | Distance between plants/centers $u$ and $v$ | km |
| $K^{\text{dist}}_{uv}$ | Distance between plants/centers $u$ and $v$ | km |
| $K^\text{cap}_{p}$ | Capacity of plant $p$, if the plant is open | tonne |
| $K^\text{cap}_{p}$ | Capacity of plant $p$, if the plant is open | tonne |
| $K^\text{disp-limit}_{pmt}$ | Maximum amount of material $m$ that can be disposed of at plant $p$ at time $t$ | tonne |
| $K^\text{disp-limit}_{mt}$ | Maximum amount of material $m$ that can be disposed of (globally) at time $t$ | tonne |
| $K^\text{mix}_{pmt}$ | If plant $p$ receives one tonne of input material at time $t$, then $K^\text{mix}_{pmt}$ is the amount of product $m$ in this mix. Must be between zero and one, and the sum of these amounts must equal to one. | tonne |
| $K^\text{disp-limit}_{mut}$ | Maximum amount of material $m$ that can be disposed of at plant/center $u$ at time $t$ | tonne |
| $K^\text{output}_{pmt}$ | Amount of material $m$ produced by plant $p$ at time $t$ for each tonne of input material processed | tonne |
| $K^\text{mix}_{pmt}$ | If plant $p$ receives one tonne of input material at time $t$, then $K^\text{mix}_{pmt}$ is the amount of product $m$ in this mix. Must be between zero and one, and the sum of these amounts must equal to one. | tonne |
| $R^\text{tr}_{mt}$ | Cost to send material $m$ at time $t$ | \$/km-tonne |
| $K^\text{output}_{pmt}$ | Amount of material $m$ produced by plant $p$ at time $t$ for each tonne of input material processed | tonne |
| $R^\text{collect}_{cmt}$ | Cost of collecting material $m$ at center $c$ at time $t$ | \$/tonne |
| $R^\text{tr}_{mt}$ | Cost to send material $m$ at time $t$ | \$/km-tonne |
| $R^\text{disp}_{umt}$ | Cost to dispose of material at plant/center $u$ at time $t$ | \$/tonne |
| $R^\text{collect}_{cmt}$ | Cost of collecting material $m$ at center $c$ at time $t$ | \$/tonne |
| $R^\text{fix}_{ut}$ | Fixed operating cost for plant/center $u$ at time $t$ | \$ |
| $R^\text{disp}_{umt}$ | Cost to dispose of material at plant/center $u$ at time $t$ | \$/tonne |
| $R^\text{open}_{pt}$ | Cost to open plant $p$ at time $t$ | \$ |
| $R^\text{fix}_{ut}$ | Fixed operating cost for plant/center $u$ at time $t$ | \$ |
| $R^\text{rev}_{ct}$ | Revenue for selling the input product of center $c$ at this center at time $t$ | \$/tonne |
| $R^\text{open}_{pt}$ | Cost to open plant $p$ at time $t$ | \$ |
| $R^\text{var}_{pt}$ | Cost to process one tonne of input material at plant $p$ at time $t$ | \$/tonne |
| $R^\text{rev}_{ct}$ | Revenue for selling the input product of center $c$ at this center at time $t$ | \$/tonne |
| $K^\text{out-fix}_{cmt}$ | Fixed amount of material $m$ collected at center $m$ at time $t$ | \$/tonne |
| $R^\text{var}_{pt}$ | Cost to process one tonne of input material at plant $p$ at time $t$ | \$/tonne |
| $K^\text{out-var}_{c,m,i}$ | Factor used to calculate variable amount of material $m$ collected at center $m$. See `eq_z_collected` for more details. | -- |
| $K^\text{out-fix}_{cmt}$ | Fixed amount of material $m$ collected at center $m$ at time $t$ | \$/tonne |
| $K^\text{out-var-len}_{cm}$ | Length of the $K^\text{out-var}_{c,m,*}$ vector. | -- |
| $K^\text{out-var}_{c,m,i}$ | Factor used to calculate variable amount of material $m$ collected at center $m$. See `eq_z_collected` for more details. | -- |
| $K^\text{out-var-len}_{cm}$ | Length of the $K^\text{out-var}_{c,m,*}$ vector. | -- |
## Decision variables
## Decision variables
@ -196,7 +197,7 @@ The goals is to minimize a linear objective function with the following terms:
\end{align*}
\end{align*}
```
```
- Disposal limit at the plants (`eq_keep_open[p.name, t]`):
- Disposal limit at the plants (`eq_disposal_limit[p.name, m.name, t]`):
```math
```math
\begin{align*}
\begin{align*}
@ -255,3 +256,12 @@ The goals is to minimize a linear objective function with the following terms:
& \forall c \in C, m \in M^+_c, t \in T
& \forall c \in C, m \in M^+_c, t \in T
\end{align*}
\end{align*}
```
```
- Global disposal limit (`eq_disposal_limit[m.name, t]`)
