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Implement transportation emissions

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Alinson S. Xavier 1 week ago
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commit 157cd500ef
8 changed files with 212 additions and 41 deletions
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66
docs/src/problem.md
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@ -39,6 +39,7 @@ The mathematical model employed by RELOG is based on three main components:
| $C$ | Set of collection and distribution centers |
| $P$ | Set of manufacturing and recycling plants |
| $M$ | Set of products and materials |
| $G$ | Set of greenhouse gases |
| $M^+_u$ | Set of output products of plant/center $u$. |
| $M^-_u$ | Set of input products of plant/center $u$. |
| $T$ | Set of time periods in the planning horizon. We assume $T=\{1,\ldots,t^{max}\}.$ |
@ -48,35 +49,37 @@ The mathematical model employed by RELOG is based on three main components:
## Constants
| Symbol | Description | Unit |
| :-------------------------- | :--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- | :---------- |
| $K^{\text{dist}}_{uv}$ | Distance between plants/centers $u$ and $v$ | km |
| $K^\text{cap}_{p}$ | Capacity of plant $p$, if the plant is open | tonne |
| $K^\text{disp-limit}_{mt}$ | Maximum amount of material $m$ that can be disposed of (globally) at time $t$ | tonne |
| $K^\text{disp-limit}_{mut}$ | Maximum amount of material $m$ that can be disposed of at plant/center $u$ at time $t$ | tonne |
| $K^\text{mix}_{pmt}$ | 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 |
| $K^\text{output}_{pmt}$ | Amount of material $m$ produced by plant $p$ at time $t$ for each tonne of input material processed | tonne |
| $R^\text{tr}_{mt}$ | Cost to send material $m$ at time $t$ | \$/km-tonne |
| $R^\text{collect}_{cmt}$ | Cost of collecting material $m$ at center $c$ at time $t$ | \$/tonne |
| $R^\text{disp}_{umt}$ | Cost to dispose of material at plant/center $u$ at time $t$ | \$/tonne |
| $R^\text{fix}_{ut}$ | Fixed operating cost for plant/center $u$ at time $t$ | \$ |
| $R^\text{open}_{pt}$ | Cost to open plant $p$ at time $t$ | \$ |
| $R^\text{rev}_{ct}$ | Revenue for selling the input product of center $c$ at this center at time $t$ | \$/tonne |
| $R^\text{var}_{pt}$ | Cost to process one tonne of input material at plant $p$ at time $t$ | \$/tonne |
| $K^\text{out-fix}_{cmt}$ | Fixed amount of material $m$ collected at center $m$ 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. | -- |
| $K^\text{out-var-len}_{cm}$ | Length of the $K^\text{out-var}_{c,m,*}$ vector. | -- |
| Symbol | Description | Unit |
| :-------------------------- | :--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- | :------------- |
| $K^{\text{dist}}_{uv}$ | Distance between plants/centers $u$ and $v$ | km |
| $K^\text{cap}_{p}$ | Capacity of plant $p$, if the plant is open | tonne |
| $K^\text{disp-limit}_{mt}$ | Maximum amount of material $m$ that can be disposed of (globally) at time $t$ | tonne |
| $K^\text{disp-limit}_{mut}$ | Maximum amount of material $m$ that can be disposed of at plant/center $u$ at time $t$ | tonne |
| $K^\text{mix}_{pmt}$ | 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 |
| $K^\text{output}_{pmt}$ | Amount of material $m$ produced by plant $p$ at time $t$ for each tonne of input material processed | tonne |
| $K^\text{tr-em}_{gmt}$ | Amount of greenhouse gas $g$ released by transporting 1 tonne of material $m$ over one km at time $t$ | tonne/km-tonne |
| $R^\text{tr}_{mt}$ | Cost to send material $m$ at time $t$ | \$/km-tonne |
| $R^\text{collect}_{cmt}$ | Cost of collecting material $m$ at center $c$ at time $t$ | \$/tonne |
| $R^\text{disp}_{umt}$ | Cost to dispose of material at plant/center $u$ at time $t$ | \$/tonne |
| $R^\text{fix}_{ut}$ | Fixed operating cost for plant/center $u$ at time $t$ | \$ |
| $R^\text{open}_{pt}$ | Cost to open plant $p$ at time $t$ | \$ |
| $R^\text{rev}_{ct}$ | Revenue for selling the input product of center $c$ at this center at time $t$ | \$/tonne |
| $R^\text{var}_{pt}$ | Cost to process one tonne of input material at plant $p$ at time $t$ | \$/tonne |
| $K^\text{out-fix}_{cmt}$ | Fixed amount of material $m$ collected at center $m$ 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. | -- |
| $K^\text{out-var-len}_{cm}$ | Length of the $K^\text{out-var}_{c,m,*}$ vector. | -- |
## Decision variables
| Symbol | JuMP name | Description | Unit |
| :--------------------------- | :------------------------------- | :------------------------------------------------------------------------------- | :----- |
| $x_{pt}$ | `x[p.name, t]` | One if plant $p$ is operational at time $t$ | binary |
| $y_{uvmt}$ | `y[u.name, v.name, m.name, t]` | Amount of product $m$ sent from plant/center $u$ to plant/center $v$ at time $t$ | tonne |
| $z^{\text{collected}}_{cmt}$ | `z_collected[c.name, m.name, t]` | Amount of material $m$ collected by center $c$ at time $t$ | tonne |
| $z^{\text{disp}}_{umt}$ | `z_disp[u.name, m.name, t]` | Amount of product $m$ disposed of at plant/center $u$ at time $t$ | tonne |
| $z^{\text{input}}_{ut}$ | `z_input[u.name, t]` | Total plant/center input at time $t$ | tonne |
| $z^{\text{prod}}_{umt}$ | `z_prod[u.name, m.name, t]` | Amount of product $m$ produced by plant/center $u$ at time $t$ | tonne |
| Symbol | JuMP name | Description | Unit |
| :--------------------------- | :------------------------------------------- | :------------------------------------------------------------------------------------------------------ | :----- |
| $x_{pt}$ | `x[p.name, t]` | One if plant $p$ is operational at time $t$ | binary |
| $y_{uvmt}$ | `y[u.name, v.name, m.name, t]` | Amount of product $m$ sent from plant/center $u$ to plant/center $v$ at time $t$ | tonne |
| $z^{\text{collected}}_{cmt}$ | `z_collected[c.name, m.name, t]` | Amount of material $m$ collected by center $c$ at time $t$ | tonne |
| $z^{\text{disp}}_{umt}$ | `z_disp[u.name, m.name, t]` | Amount of product $m$ disposed of at plant/center $u$ at time $t$ | tonne |
| $z^{\text{input}}_{ut}$ | `z_input[u.name, t]` | Total plant/center input at time $t$ | tonne |
| $z^{\text{prod}}_{umt}$ | `z_prod[u.name, m.name, t]` | Amount of product $m$ produced by plant/center $u$ at time $t$ | tonne |
| $z^{\text{tr-em}}_{guvmt}$ | `z_tr_em[g.name, u.name, v.name, m.name, t]` | Amount of greenhouse gas $g$ released at time $t$ due to transportation of material $m$ from $u$ to $v$ | tonne |
## Objective function
@ -264,4 +267,13 @@ The goals is to minimize a linear objective function with the following terms:
& \sum_{p \in P} z^\text{disp}_{pmt} + \sum_{c \in C} z^\text{disp}_{cmt} \leq K^\text{disp-limit}_{mt}
& \forall m \in M, t \in T
\end{align*}
```
```
- Computation of transportation emissions (`eq_tr_em[g.name, u.name, v.name, m.name, t`)
```math
\begin{align*}
& z^{\text{tr-em}}_{guvmt} = K^{\text{dist}}_{uv} K^\text{tr-em}_{gmt} y_{uvmt}
& \forall g \in G, (u, v, m) \in E, t \in T
\end{align*}
```

17
src/instance/parse.jl
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@ -20,10 +20,11 @@ function parse(json)::Instance
error("Invalid distance metric: $distance_metric_str")
end
timeseries(::Nothing; null_val=nothing) = repeat([null_val], time_horizon)
timeseries(x::Number; null_val=nothing) = repeat([x], time_horizon)
timeseries(x::Array; null_val=nothing) = [xi === nothing ? null_val : xi for xi in x]
timeseries(d::OrderedDict; null_val=nothing) = OrderedDict(k => timeseries(v; null_val) for (k, v) in d)
timeseries(::Nothing; null_val = nothing) = repeat([null_val], time_horizon)
timeseries(x::Number; null_val = nothing) = repeat([x], time_horizon)
timeseries(x::Array; null_val = nothing) = [xi === nothing ? null_val : xi for xi in x]
timeseries(d::OrderedDict; null_val = nothing) =
OrderedDict(k => timeseries(v; null_val) for (k, v) in d)
# Read products
products = Product[]
@ -32,7 +33,7 @@ function parse(json)::Instance
tr_cost = timeseries(pdict["transportation cost (\$/km/tonne)"])
tr_energy = timeseries(pdict["transportation energy (J/km/tonne)"])
tr_emissions = timeseries(pdict["transportation emissions (tonne/km/tonne)"])
disposal_limit = timeseries(pdict["disposal limit (tonne)"], null_val=Inf)
disposal_limit = timeseries(pdict["disposal limit (tonne)"], null_val = Inf)
prod = Product(; name, tr_cost, tr_energy, tr_emissions, disposal_limit)
push!(products, prod)
products_by_name[name] = prod
@ -52,10 +53,8 @@ function parse(json)::Instance
end
outputs = [products_by_name[p] for p in cdict["outputs"]]
operating_cost = timeseries(cdict["operating cost (\$)"])
prod_dict(key, null_val) = OrderedDict(
p => timeseries(cdict[key][p.name]; null_val)
for p in outputs
)
prod_dict(key, null_val) =
OrderedDict(p => timeseries(cdict[key][p.name]; null_val) for p in outputs)
fixed_output = prod_dict("fixed output (tonne)", 0.0)
var_output = prod_dict("variable output (tonne/tonne)", 0.0)
collection_cost = prod_dict("collection cost (\$/tonne)", 0.0)

16
src/model/build.jl
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@ -118,6 +118,12 @@ function build_model(instance::Instance; optimizer, variable_names::Bool = false
z_collected[c.name, m.name, t] = @variable(model, lower_bound = 0)
end
# Transportation emissions by greenhouse gas
z_tr_em = _init(model, :z_tr_em)
for (p1, p2, m) in E, t in T, g in keys(m.tr_emissions)
z_tr_em[g, p1.name, p2.name, m.name, t] = @variable(model, lower_bound = 0)
end
# Objective function
# -------------------------------------------------------------------------
@ -310,6 +316,16 @@ function build_model(instance::Instance; optimizer, variable_names::Bool = false
)
end
# Transportation emissions
eq_tr_em = _init(model, :eq_tr_em)
for (p1, p2, m) in E, t in T, g in keys(m.tr_emissions)
eq_tr_em[g, p1.name, p2.name, m.name, t] = @constraint(
model,
z_tr_em[g, p1.name, p2.name, m.name, t] ==
distances[p1, p2, m] * m.tr_emissions[g][t] * y[p1.name, p2.name, m.name, t]
)
end
if variable_names
_set_names!(model)
end

43
src/reports/transportation.jl
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@ -52,5 +52,48 @@ function transportation_report(model)::DataFrame
return df
end
function transportation_emissions_report(model)::DataFrame
df = DataFrame()
df."source" = String[]
df."destination" = String[]
df."product" = String[]
df."emission" = String[]
df."year" = Int[]
df."amount sent (tonne)" = Float64[]
df."distance (km)" = Float64[]
df."emission factor (tonne/km/tonne)" = Float64[]
df."emission amount (tonne)" = Float64[]
E = model.ext[:E]
distances = model.ext[:distances]
T = 1:model.ext[:instance].time_horizon
for (p1, p2, m) in E, t in T, g in keys(m.tr_emissions)
amount = value(model[:y][p1.name, p2.name, m.name, t])
amount > 1e-3 || continue
distance = distances[p1, p2, m]
emission_factor = m.tr_emissions[g][t]
emissions = value(model[:z_tr_em][g, p1.name, p2.name, m.name, t])
push!(
df,
Dict(
"source" => p1.name,
"destination" => p2.name,
"product" => m.name,
"emission" => g,
"year" => t,
"amount sent (tonne)" => _round(amount),
"distance (km)" => _round(distance),
"emission factor (tonne/km/tonne)" => _round(emission_factor),
"emission amount (tonne)" => _round(emissions),
),
)
end
return df
end
write_transportation_report(solution, filename) =
CSV.write(filename, transportation_report(solution))
write_transportation_emissions_report(solution, filename) =
CSV.write(filename, transportation_emissions_report(solution))

7
test/fixtures/boat_example.jl vendored
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@ -68,7 +68,8 @@ function run_boat_example()
prod = dict(
"transportation cost (\$/km/tonne)" => 0.30,
"transportation energy (J/km/tonne)" => 7_500,
"transportation emissions (tonne/km/tonne)" => dict("CO2" => 2.68),
"transportation emissions (tonne/km/tonne)" =>
dict("CO2" => 2.68, "NH4" => 1.02),
"disposal limit (tonne)" => nothing,
)
@ -176,6 +177,10 @@ function run_boat_example()
RELOG.write_centers_report(model, fixture("boat_example/centers.csv"))
RELOG.write_center_outputs_report(model, fixture("boat_example/center_outputs.csv"))
RELOG.write_transportation_report(model, fixture("boat_example/transportation.csv"))
RELOG.write_transportation_emissions_report(
model,
fixture("boat_example/tr_emissions.csv"),
)
return
end

12
test/fixtures/boat_example.json vendored
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@ -11,7 +11,8 @@
"transportation cost ($/km/tonne)": 0.3,
"transportation energy (J/km/tonne)": 7500,
"transportation emissions (tonne/km/tonne)": {
"CO2": 2.68
"CO2": 2.68,
"NH4": 1.02
},
"disposal limit (tonne)": null
},
@ -19,7 +20,8 @@
"transportation cost ($/km/tonne)": 0.3,
"transportation energy (J/km/tonne)": 7500,
"transportation emissions (tonne/km/tonne)": {
"CO2": 2.68
"CO2": 2.68,
"NH4": 1.02
},
"disposal limit (tonne)": null
},
@ -27,7 +29,8 @@
"transportation cost ($/km/tonne)": 0.3,
"transportation energy (J/km/tonne)": 7500,
"transportation emissions (tonne/km/tonne)": {
"CO2": 2.68
"CO2": 2.68,
"NH4": 1.02
},
"disposal limit (tonne)": null
},
@ -35,7 +38,8 @@
"transportation cost ($/km/tonne)": 0.3,
"transportation energy (J/km/tonne)": 7500,
"transportation emissions (tonne/km/tonne)": {
"CO2": 2.68
"CO2": 2.68,
"NH4": 1.02
},
"disposal limit (tonne)": null
}

81
test/fixtures/boat_example/tr_emissions.csv vendored
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@ -0,0 +1,81 @@
source,destination,product,emission,year,amount sent (tonne),distance (km),emission factor (tonne/km/tonne),emission amount (tonne)
RecyclingPlant (Dallas),BoatFactory (Dallas),Nail,CO2,1,0.15789,0.0,2.68,0.0
RecyclingPlant (Dallas),BoatFactory (Dallas),Nail,NH4,1,0.15789,0.0,1.02,0.0
RecyclingPlant (Dallas),BoatFactory (Dallas),Nail,CO2,2,0.57341,0.0,2.68,0.0
RecyclingPlant (Dallas),BoatFactory (Dallas),Nail,NH4,2,0.57341,0.0,1.02,0.0
RecyclingPlant (Dallas),BoatFactory (Dallas),Nail,CO2,3,0.79428,0.0,2.68,0.0
RecyclingPlant (Dallas),BoatFactory (Dallas),Nail,NH4,3,0.79428,0.0,1.02,0.0
RecyclingPlant (Dallas),BoatFactory (Dallas),Nail,CO2,4,0.84522,0.0,2.68,0.0
RecyclingPlant (Dallas),BoatFactory (Dallas),Nail,NH4,4,0.84522,0.0,1.02,0.0
RecyclingPlant (Dallas),BoatFactory (Dallas),Nail,CO2,5,0.86354,0.0,2.68,0.0
RecyclingPlant (Dallas),BoatFactory (Dallas),Nail,NH4,5,0.86354,0.0,1.02,0.0
NailFactory (Chicago),BoatFactory (Dallas),Nail,CO2,1,1.0,1293.093,2.68,3465.48924
NailFactory (Chicago),BoatFactory (Dallas),Nail,NH4,1,1.0,1293.093,1.02,1318.95486
NailFactory (Chicago),BoatFactory (Dallas),Nail,CO2,2,1.0,1293.093,2.68,3465.48924
NailFactory (Chicago),BoatFactory (Dallas),Nail,NH4,2,1.0,1293.093,1.02,1318.95486
NailFactory (Chicago),BoatFactory (Dallas),Nail,CO2,3,1.0,1293.093,2.68,3465.48924
NailFactory (Chicago),BoatFactory (Dallas),Nail,NH4,3,1.0,1293.093,1.02,1318.95486
NailFactory (Chicago),BoatFactory (Dallas),Nail,CO2,4,1.0,1293.093,2.68,3465.48924
NailFactory (Chicago),BoatFactory (Dallas),Nail,NH4,4,1.0,1293.093,1.02,1318.95486
NailFactory (Chicago),BoatFactory (Dallas),Nail,CO2,5,1.0,1293.093,2.68,3465.48924
NailFactory (Chicago),BoatFactory (Dallas),Nail,NH4,5,1.0,1293.093,1.02,1318.95486
NailFactory (Phoenix),BoatFactory (Dallas),Nail,CO2,1,1.0,1423.57,2.68,3815.1676
NailFactory (Phoenix),BoatFactory (Dallas),Nail,NH4,1,1.0,1423.57,1.02,1452.0414
NailFactory (Phoenix),BoatFactory (Dallas),Nail,CO2,2,1.0,1423.57,2.68,3815.1676
NailFactory (Phoenix),BoatFactory (Dallas),Nail,NH4,2,1.0,1423.57,1.02,1452.0414
NailFactory (Phoenix),BoatFactory (Dallas),Nail,CO2,3,1.0,1423.57,2.68,3815.1676
NailFactory (Phoenix),BoatFactory (Dallas),Nail,NH4,3,1.0,1423.57,1.02,1452.0414
NailFactory (Phoenix),BoatFactory (Dallas),Nail,CO2,4,1.0,1423.57,2.68,3815.1676
NailFactory (Phoenix),BoatFactory (Dallas),Nail,NH4,4,1.0,1423.57,1.02,1452.0414
NailFactory (Phoenix),BoatFactory (Dallas),Nail,CO2,5,1.0,1423.57,2.68,3815.1676
NailFactory (Phoenix),BoatFactory (Dallas),Nail,NH4,5,1.0,1423.57,1.02,1452.0414
NailFactory (Dallas),BoatFactory (Dallas),Nail,CO2,1,1.0,0.0,2.68,0.0
NailFactory (Dallas),BoatFactory (Dallas),Nail,NH4,1,1.0,0.0,1.02,0.0
NailFactory (Dallas),BoatFactory (Dallas),Nail,CO2,2,1.0,0.0,2.68,0.0
NailFactory (Dallas),BoatFactory (Dallas),Nail,NH4,2,1.0,0.0,1.02,0.0
NailFactory (Dallas),BoatFactory (Dallas),Nail,CO2,3,1.0,0.0,2.68,0.0
NailFactory (Dallas),BoatFactory (Dallas),Nail,NH4,3,1.0,0.0,1.02,0.0
NailFactory (Dallas),BoatFactory (Dallas),Nail,CO2,4,1.0,0.0,2.68,0.0
NailFactory (Dallas),BoatFactory (Dallas),Nail,NH4,4,1.0,0.0,1.02,0.0
NailFactory (Dallas),BoatFactory (Dallas),Nail,CO2,5,1.0,0.0,2.68,0.0
NailFactory (Dallas),BoatFactory (Dallas),Nail,NH4,5,1.0,0.0,1.02,0.0
RecyclingPlant (Dallas),BoatFactory (Dallas),Wood,CO2,1,3.0,0.0,2.68,0.0
RecyclingPlant (Dallas),BoatFactory (Dallas),Wood,NH4,1,3.0,0.0,1.02,0.0
RecyclingPlant (Dallas),BoatFactory (Dallas),Wood,CO2,2,10.89474,0.0,2.68,0.0
RecyclingPlant (Dallas),BoatFactory (Dallas),Wood,NH4,2,10.89474,0.0,1.02,0.0
RecyclingPlant (Dallas),BoatFactory (Dallas),Wood,CO2,3,15.09141,0.0,2.68,0.0
RecyclingPlant (Dallas),BoatFactory (Dallas),Wood,NH4,3,15.09141,0.0,1.02,0.0
RecyclingPlant (Dallas),BoatFactory (Dallas),Wood,CO2,4,16.05912,0.0,2.68,0.0
RecyclingPlant (Dallas),BoatFactory (Dallas),Wood,NH4,4,16.05912,0.0,1.02,0.0
RecyclingPlant (Dallas),BoatFactory (Dallas),Wood,CO2,5,16.40733,0.0,2.68,0.0
RecyclingPlant (Dallas),BoatFactory (Dallas),Wood,NH4,5,16.40733,0.0,1.02,0.0
Forest (Dallas),BoatFactory (Dallas),Wood,CO2,1,57.0,0.0,2.68,0.0
Forest (Dallas),BoatFactory (Dallas),Wood,NH4,1,57.0,0.0,1.02,0.0
Forest (Dallas),BoatFactory (Dallas),Wood,CO2,2,57.0,0.0,2.68,0.0
Forest (Dallas),BoatFactory (Dallas),Wood,NH4,2,57.0,0.0,1.02,0.0
Forest (Dallas),BoatFactory (Dallas),Wood,CO2,3,57.0,0.0,2.68,0.0
Forest (Dallas),BoatFactory (Dallas),Wood,NH4,3,57.0,0.0,1.02,0.0
Forest (Dallas),BoatFactory (Dallas),Wood,CO2,4,57.0,0.0,2.68,0.0
Forest (Dallas),BoatFactory (Dallas),Wood,NH4,4,57.0,0.0,1.02,0.0
Forest (Dallas),BoatFactory (Dallas),Wood,CO2,5,57.0,0.0,2.68,0.0
Forest (Dallas),BoatFactory (Dallas),Wood,NH4,5,57.0,0.0,1.02,0.0
BoatFactory (Dallas),Retail (Dallas),NewBoat,CO2,1,63.15789,0.0,2.68,0.0
BoatFactory (Dallas),Retail (Dallas),NewBoat,NH4,1,63.15789,0.0,1.02,0.0
BoatFactory (Dallas),Retail (Dallas),NewBoat,CO2,2,71.46814,0.0,2.68,0.0
BoatFactory (Dallas),Retail (Dallas),NewBoat,NH4,2,71.46814,0.0,1.02,0.0
BoatFactory (Dallas),Retail (Dallas),NewBoat,CO2,3,75.8857,0.0,2.68,0.0
BoatFactory (Dallas),Retail (Dallas),NewBoat,NH4,3,75.8857,0.0,1.02,0.0
BoatFactory (Dallas),Retail (Dallas),NewBoat,CO2,4,76.90434,0.0,2.68,0.0
BoatFactory (Dallas),Retail (Dallas),NewBoat,NH4,4,76.90434,0.0,1.02,0.0
BoatFactory (Dallas),Retail (Dallas),NewBoat,CO2,5,77.27087,0.0,2.68,0.0
BoatFactory (Dallas),Retail (Dallas),NewBoat,NH4,5,77.27087,0.0,1.02,0.0
Retail (Dallas),RecyclingPlant (Dallas),UsedBoat,CO2,1,6.31579,0.0,2.68,0.0
Retail (Dallas),RecyclingPlant (Dallas),UsedBoat,NH4,1,6.31579,0.0,1.02,0.0
Retail (Dallas),RecyclingPlant (Dallas),UsedBoat,CO2,2,22.93629,0.0,2.68,0.0
Retail (Dallas),RecyclingPlant (Dallas),UsedBoat,NH4,2,22.93629,0.0,1.02,0.0
Retail (Dallas),RecyclingPlant (Dallas),UsedBoat,CO2,3,31.7714,0.0,2.68,0.0
Retail (Dallas),RecyclingPlant (Dallas),UsedBoat,NH4,3,31.7714,0.0,1.02,0.0
Retail (Dallas),RecyclingPlant (Dallas),UsedBoat,CO2,4,33.80867,0.0,2.68,0.0
Retail (Dallas),RecyclingPlant (Dallas),UsedBoat,NH4,4,33.80867,0.0,1.02,0.0
Retail (Dallas),RecyclingPlant (Dallas),UsedBoat,CO2,5,34.54174,0.0,2.68,0.0
Retail (Dallas),RecyclingPlant (Dallas),UsedBoat,NH4,5,34.54174,0.0,1.02,0.0
1 source destination product emission year amount sent (tonne) distance (km) emission factor (tonne/km/tonne) emission amount (tonne)
2 RecyclingPlant (Dallas) BoatFactory (Dallas) Nail CO2 1 0.15789 0.0 2.68 0.0
3 RecyclingPlant (Dallas) BoatFactory (Dallas) Nail NH4 1 0.15789 0.0 1.02 0.0
4 RecyclingPlant (Dallas) BoatFactory (Dallas) Nail CO2 2 0.57341 0.0 2.68 0.0
5 RecyclingPlant (Dallas) BoatFactory (Dallas) Nail NH4 2 0.57341 0.0 1.02 0.0
6 RecyclingPlant (Dallas) BoatFactory (Dallas) Nail CO2 3 0.79428 0.0 2.68 0.0
7 RecyclingPlant (Dallas) BoatFactory (Dallas) Nail NH4 3 0.79428 0.0 1.02 0.0
8 RecyclingPlant (Dallas) BoatFactory (Dallas) Nail CO2 4 0.84522 0.0 2.68 0.0
9 RecyclingPlant (Dallas) BoatFactory (Dallas) Nail NH4 4 0.84522 0.0 1.02 0.0
10 RecyclingPlant (Dallas) BoatFactory (Dallas) Nail CO2 5 0.86354 0.0 2.68 0.0
11 RecyclingPlant (Dallas) BoatFactory (Dallas) Nail NH4 5 0.86354 0.0 1.02 0.0
12 NailFactory (Chicago) BoatFactory (Dallas) Nail CO2 1 1.0 1293.093 2.68 3465.48924
13 NailFactory (Chicago) BoatFactory (Dallas) Nail NH4 1 1.0 1293.093 1.02 1318.95486
14 NailFactory (Chicago) BoatFactory (Dallas) Nail CO2 2 1.0 1293.093 2.68 3465.48924
15 NailFactory (Chicago) BoatFactory (Dallas) Nail NH4 2 1.0 1293.093 1.02 1318.95486
16 NailFactory (Chicago) BoatFactory (Dallas) Nail CO2 3 1.0 1293.093 2.68 3465.48924
17 NailFactory (Chicago) BoatFactory (Dallas) Nail NH4 3 1.0 1293.093 1.02 1318.95486
18 NailFactory (Chicago) BoatFactory (Dallas) Nail CO2 4 1.0 1293.093 2.68 3465.48924
19 NailFactory (Chicago) BoatFactory (Dallas) Nail NH4 4 1.0 1293.093 1.02 1318.95486
20 NailFactory (Chicago) BoatFactory (Dallas) Nail CO2 5 1.0 1293.093 2.68 3465.48924
21 NailFactory (Chicago) BoatFactory (Dallas) Nail NH4 5 1.0 1293.093 1.02 1318.95486
22 NailFactory (Phoenix) BoatFactory (Dallas) Nail CO2 1 1.0 1423.57 2.68 3815.1676
23 NailFactory (Phoenix) BoatFactory (Dallas) Nail NH4 1 1.0 1423.57 1.02 1452.0414
24 NailFactory (Phoenix) BoatFactory (Dallas) Nail CO2 2 1.0 1423.57 2.68 3815.1676
25 NailFactory (Phoenix) BoatFactory (Dallas) Nail NH4 2 1.0 1423.57 1.02 1452.0414
26 NailFactory (Phoenix) BoatFactory (Dallas) Nail CO2 3 1.0 1423.57 2.68 3815.1676
27 NailFactory (Phoenix) BoatFactory (Dallas) Nail NH4 3 1.0 1423.57 1.02 1452.0414
28 NailFactory (Phoenix) BoatFactory (Dallas) Nail CO2 4 1.0 1423.57 2.68 3815.1676
29 NailFactory (Phoenix) BoatFactory (Dallas) Nail NH4 4 1.0 1423.57 1.02 1452.0414
30 NailFactory (Phoenix) BoatFactory (Dallas) Nail CO2 5 1.0 1423.57 2.68 3815.1676
31 NailFactory (Phoenix) BoatFactory (Dallas) Nail NH4 5 1.0 1423.57 1.02 1452.0414
32 NailFactory (Dallas) BoatFactory (Dallas) Nail CO2 1 1.0 0.0 2.68 0.0
33 NailFactory (Dallas) BoatFactory (Dallas) Nail NH4 1 1.0 0.0 1.02 0.0
34 NailFactory (Dallas) BoatFactory (Dallas) Nail CO2 2 1.0 0.0 2.68 0.0
35 NailFactory (Dallas) BoatFactory (Dallas) Nail NH4 2 1.0 0.0 1.02 0.0
36 NailFactory (Dallas) BoatFactory (Dallas) Nail CO2 3 1.0 0.0 2.68 0.0
37 NailFactory (Dallas) BoatFactory (Dallas) Nail NH4 3 1.0 0.0 1.02 0.0
38 NailFactory (Dallas) BoatFactory (Dallas) Nail CO2 4 1.0 0.0 2.68 0.0
39 NailFactory (Dallas) BoatFactory (Dallas) Nail NH4 4 1.0 0.0 1.02 0.0
40 NailFactory (Dallas) BoatFactory (Dallas) Nail CO2 5 1.0 0.0 2.68 0.0
41 NailFactory (Dallas) BoatFactory (Dallas) Nail NH4 5 1.0 0.0 1.02 0.0
42 RecyclingPlant (Dallas) BoatFactory (Dallas) Wood CO2 1 3.0 0.0 2.68 0.0
43 RecyclingPlant (Dallas) BoatFactory (Dallas) Wood NH4 1 3.0 0.0 1.02 0.0
44 RecyclingPlant (Dallas) BoatFactory (Dallas) Wood CO2 2 10.89474 0.0 2.68 0.0
45 RecyclingPlant (Dallas) BoatFactory (Dallas) Wood NH4 2 10.89474 0.0 1.02 0.0
46 RecyclingPlant (Dallas) BoatFactory (Dallas) Wood CO2 3 15.09141 0.0 2.68 0.0
47 RecyclingPlant (Dallas) BoatFactory (Dallas) Wood NH4 3 15.09141 0.0 1.02 0.0
48 RecyclingPlant (Dallas) BoatFactory (Dallas) Wood CO2 4 16.05912 0.0 2.68 0.0
49 RecyclingPlant (Dallas) BoatFactory (Dallas) Wood NH4 4 16.05912 0.0 1.02 0.0
50 RecyclingPlant (Dallas) BoatFactory (Dallas) Wood CO2 5 16.40733 0.0 2.68 0.0
51 RecyclingPlant (Dallas) BoatFactory (Dallas) Wood NH4 5 16.40733 0.0 1.02 0.0
52 Forest (Dallas) BoatFactory (Dallas) Wood CO2 1 57.0 0.0 2.68 0.0
53 Forest (Dallas) BoatFactory (Dallas) Wood NH4 1 57.0 0.0 1.02 0.0
54 Forest (Dallas) BoatFactory (Dallas) Wood CO2 2 57.0 0.0 2.68 0.0
55 Forest (Dallas) BoatFactory (Dallas) Wood NH4 2 57.0 0.0 1.02 0.0
56 Forest (Dallas) BoatFactory (Dallas) Wood CO2 3 57.0 0.0 2.68 0.0
57 Forest (Dallas) BoatFactory (Dallas) Wood NH4 3 57.0 0.0 1.02 0.0
58 Forest (Dallas) BoatFactory (Dallas) Wood CO2 4 57.0 0.0 2.68 0.0
59 Forest (Dallas) BoatFactory (Dallas) Wood NH4 4 57.0 0.0 1.02 0.0
60 Forest (Dallas) BoatFactory (Dallas) Wood CO2 5 57.0 0.0 2.68 0.0
61 Forest (Dallas) BoatFactory (Dallas) Wood NH4 5 57.0 0.0 1.02 0.0
62 BoatFactory (Dallas) Retail (Dallas) NewBoat CO2 1 63.15789 0.0 2.68 0.0
63 BoatFactory (Dallas) Retail (Dallas) NewBoat NH4 1 63.15789 0.0 1.02 0.0
64 BoatFactory (Dallas) Retail (Dallas) NewBoat CO2 2 71.46814 0.0 2.68 0.0
65 BoatFactory (Dallas) Retail (Dallas) NewBoat NH4 2 71.46814 0.0 1.02 0.0
66 BoatFactory (Dallas) Retail (Dallas) NewBoat CO2 3 75.8857 0.0 2.68 0.0
67 BoatFactory (Dallas) Retail (Dallas) NewBoat NH4 3 75.8857 0.0 1.02 0.0
68 BoatFactory (Dallas) Retail (Dallas) NewBoat CO2 4 76.90434 0.0 2.68 0.0
69 BoatFactory (Dallas) Retail (Dallas) NewBoat NH4 4 76.90434 0.0 1.02 0.0
70 BoatFactory (Dallas) Retail (Dallas) NewBoat CO2 5 77.27087 0.0 2.68 0.0
71 BoatFactory (Dallas) Retail (Dallas) NewBoat NH4 5 77.27087 0.0 1.02 0.0
72 Retail (Dallas) RecyclingPlant (Dallas) UsedBoat CO2 1 6.31579 0.0 2.68 0.0
73 Retail (Dallas) RecyclingPlant (Dallas) UsedBoat NH4 1 6.31579 0.0 1.02 0.0
74 Retail (Dallas) RecyclingPlant (Dallas) UsedBoat CO2 2 22.93629 0.0 2.68 0.0
75 Retail (Dallas) RecyclingPlant (Dallas) UsedBoat NH4 2 22.93629 0.0 1.02 0.0
76 Retail (Dallas) RecyclingPlant (Dallas) UsedBoat CO2 3 31.7714 0.0 2.68 0.0
77 Retail (Dallas) RecyclingPlant (Dallas) UsedBoat NH4 3 31.7714 0.0 1.02 0.0
78 Retail (Dallas) RecyclingPlant (Dallas) UsedBoat CO2 4 33.80867 0.0 2.68 0.0
79 Retail (Dallas) RecyclingPlant (Dallas) UsedBoat NH4 4 33.80867 0.0 1.02 0.0
80 Retail (Dallas) RecyclingPlant (Dallas) UsedBoat CO2 5 34.54174 0.0 2.68 0.0
81 Retail (Dallas) RecyclingPlant (Dallas) UsedBoat NH4 5 34.54174 0.0 1.02 0.0

11
test/src/model/build_test.jl
Unescape View File

@ -9,6 +9,7 @@ function model_build_test()
y = model[:y]
z_disp = model[:z_disp]
z_input = model[:z_input]
z_tr_em = model[:z_tr_em]
x = model[:x]
obj = objective_function(model)
# print(model)
@ -44,6 +45,12 @@ function model_build_test()
300 # fixed operating cost
)
# Variables: Transportation emissions
@test haskey(z_tr_em, ("CO2", "L1", "C3", "P4", 1))
@test haskey(z_tr_em, ("CH4", "L1", "C3", "P4", 1))
@test haskey(z_tr_em, ("CO2", "C2", "L1", "P1", 1))
@test haskey(z_tr_em, ("CH4", "C2", "L1", "P1", 1))
# Plants: Definition of total plant input
@test repr(model[:eq_z_input]["L1", 1]) ==
"eq_z_input[L1,1] : -y[C2,L1,P1,1] - y[C1,L1,P2,1] + z_input[L1,1] = 0"
@ -118,4 +125,8 @@ function model_build_test()
@test repr(model[:eq_disposal_limit]["P3", 1]) ==
"eq_disposal_limit[P3,1] : z_disp[L1,P3,1] + z_disp[C1,P3,1] ≤ 5"
@test ("P4", 1) ∉ keys(model[:eq_disposal_limit])
# Products: Transportation emissions
@test repr(model[:eq_tr_em]["CH4", "L1", "C3", "P4", 1]) ==
"eq_tr_em[CH4,L1,C3,P4,1] : -0.333354 y[L1,C3,P4,1] + z_tr_em[CH4,L1,C3,P4,1] = 0"
end

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