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@ -30,14 +30,17 @@ mutable struct ShippingNode <: Node
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incoming_arcs::Array
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outgoing_arcs::Array
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balance::Float64
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disposal_cost::Float64
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disposal_limit::Float64
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end
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function Base.show(io::IO, node::ProcessNode)
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print(io, "ProcessNode($(node.product_name), $(node.plant_name), $(node.location_name), $(node.fixed_cost))")
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print(io, "ProcessNode($(node.product_name), $(node.plant_name), $(node.location_name), fixed_cost=$(node.fixed_cost))")
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end
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function Base.show(io::IO, node::ShippingNode)
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print(io, "ShippingNode($(node.product_name), $(node.plant_name), $(node.location_name), $(node.balance))")
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print(io, "ShippingNode($(node.product_name), $(node.plant_name), $(node.location_name), balance=$(node.balance), ")
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print(io, "disposal_cost=$(node.disposal_cost), disposal_limit=$(node.disposal_limit))")
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end
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mutable struct Arc
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@ -74,20 +77,34 @@ function build_model(instance::ReverseManufacturingInstance,
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vars = DotDict()
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vars.flow = Dict(a => @variable(mip, lower_bound=0) for a in arcs)
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vars.node = Dict(n => @variable(mip, binary=true) for n in values(process_nodes))
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vars.dispose = Dict(n => @variable(mip,
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lower_bound = 0,
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upper_bound = n.disposal_limit)
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for n in values(shipping_nodes))
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vars.open_plant = Dict(n => @variable(mip, binary=true) for n in values(process_nodes))
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create_shipping_node_constraints!(mip, shipping_nodes, vars)
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create_process_node_constraints!(mip, process_nodes, vars)
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println(" Creating objective function...")
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obj = @expression(mip, 0 * @variable(mip))
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# Shipping and variable operating costs
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for a in tqdm(arcs)
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for c in keys(a.costs)
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add_to_expression!(obj, a.costs[c], vars.flow[a])
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end
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end
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# Opening and fixed operating costs
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for n in tqdm(values(process_nodes))
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add_to_expression!(obj, n.fixed_cost, vars.node[n])
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add_to_expression!(obj, n.fixed_cost, vars.open_plant[n])
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end
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# Disposal costs
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for n in tqdm(values(shipping_nodes))
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add_to_expression!(obj, n.disposal_cost, vars.dispose[n])
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end
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@objective(mip, Min, obj)
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return ReverseManufacturingModel(mip,
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@ -102,7 +119,7 @@ function create_shipping_node_constraints!(mip, nodes, vars)
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for (id, n) in tqdm(nodes)
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@constraint(mip,
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sum(vars.flow[a] for a in n.incoming_arcs) + n.balance ==
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sum(vars.flow[a] for a in n.outgoing_arcs))
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sum(vars.flow[a] for a in n.outgoing_arcs) + vars.dispose[n])
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end
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end
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@ -115,7 +132,7 @@ function create_process_node_constraints!(mip, nodes, vars)
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@constraint(mip, vars.flow[a] == a.values["weight"] * input_sum)
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end
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# If plant is closed, input must be zero
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@constraint(mip, input_sum <= 1e6 * vars.node[n])
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@constraint(mip, input_sum <= 1e6 * vars.open_plant[n])
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end
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end
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@ -131,8 +148,16 @@ function create_nodes_and_arcs(instance)
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# Shipping nodes for initial amounts
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if haskey(product, "initial amounts")
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for location_name in keys(product["initial amounts"])
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amount = product["initial amounts"][location_name]["amount"]
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n = ShippingNode(product_name, "Origin", location_name, [], [], amount)
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balance = product["initial amounts"][location_name]["amount"]
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n = ShippingNode(product_name,
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"Origin", # plant_name
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location_name,
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[], # incoming_arcs
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[], # outgoing_arcs
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balance,
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0.0, # disposal_cost
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0.0, # disposal_limit
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)
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shipping_nodes[n.product_name, n.plant_name, n.location_name] = n
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end
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end
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@ -148,8 +173,29 @@ function create_nodes_and_arcs(instance)
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# Shipping nodes for each plant
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for plant in product["output plants"]
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for location_name in keys(plant["locations"])
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n = ShippingNode(product_name, plant["name"], location_name, [], [], 0)
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for (location_name, location) in plant["locations"]
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disposal_cost = 0.0
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disposal_limit = 0.0
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if "disposal" in keys(location) product_name in keys(location["disposal"])
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dict = location["disposal"][product_name]
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disposal_cost = dict["cost"]
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if "limit" in keys(dict)
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disposal_limit = dict["limit"]
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else
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disposal_limit = 1e30
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end
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end
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n = ShippingNode(product_name,
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plant["name"],
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location_name,
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[], # incoming_arcs
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[], # outgoing_arcs
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0.0, # balance
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disposal_cost,
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disposal_limit,
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)
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shipping_nodes[n.product_name, n.plant_name, n.location_name] = n
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end
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end
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@ -249,7 +295,7 @@ function get_solution(instance::ReverseManufacturingInstance,
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vals[a] = JuMP.value(model.vars.flow[a])
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end
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for n in values(model.process_nodes)
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vals[n] = JuMP.value(model.vars.node[n])
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vals[n] = JuMP.value(model.vars.open_plant[n])
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end
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output = Dict(
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@ -258,6 +304,7 @@ function get_solution(instance::ReverseManufacturingInstance,
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"fixed" => 0.0,
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"variable" => 0.0,
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"transportation" => 0.0,
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"disposal" => 0.0,
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"total" => 0.0,
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)
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)
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@ -273,11 +320,12 @@ function get_solution(instance::ReverseManufacturingInstance,
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plant_loc_dict = Dict{Any, Any}(
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"input" => Dict(),
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"output" => Dict(),
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"output" => Dict(
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"send" => Dict(),
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"dispose" => Dict(),
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),
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"total input" => 0.0,
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"total output" => Dict(),
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"transportation costs" => Dict(),
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"variable costs" => Dict(),
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"latitude" => location["latitude"],
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"longitude" => location["longitude"],
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)
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@ -294,8 +342,6 @@ function get_solution(instance::ReverseManufacturingInstance,
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val = round(vals[a], digits=5)
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if !(a.source.plant_name in keys(plant_loc_dict["input"]))
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plant_loc_dict["input"][a.source.plant_name] = Dict()
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plant_loc_dict["transportation costs"][a.source.plant_name] = Dict()
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plant_loc_dict["variable costs"][a.source.plant_name] = Dict()
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end
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if a.source.plant_name == "Origin"
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product = instance.products[a.source.product_name]
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@ -306,34 +352,36 @@ function get_solution(instance::ReverseManufacturingInstance,
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end
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# Input
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cost_transportation = round(a.costs["transportation"] * val, digits=5)
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plant_loc_dict["input"][a.source.plant_name][a.source.location_name] = dict = Dict()
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cost_variable = round(a.costs["variable"] * val, digits=5)
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dict["amount"] = val
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dict["distance"] = a.values["distance"]
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dict["transportation cost"] = cost_transportation
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dict["variable operating cost"] = cost_variable
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dict["latitude"] = source_location["latitude"]
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dict["longitude"] = source_location["longitude"]
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plant_loc_dict["total input"] += val
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# Transportation costs
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cost_transportation = round(a.costs["transportation"] * val, digits=5)
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plant_loc_dict["transportation costs"][a.source.plant_name][a.source.location_name] = dict = Dict()
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dict["cost"] = cost_transportation
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dict["latitude"] = source_location["latitude"]
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dict["longitude"] = source_location["longitude"]
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dict["distance"] = a.values["distance"]
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output["costs"]["transportation"] += cost_transportation
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cost_variable = round(a.costs["variable"] * val, digits=5)
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plant_loc_dict["variable costs"][a.source.plant_name][a.source.location_name] = dict = Dict()
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dict["cost"] = cost_variable
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dict["latitude"] = source_location["latitude"]
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dict["longitude"] = source_location["longitude"]
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output["costs"]["variable"] += cost_variable
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end
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# Outputs
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for output_product_name in keys(plant["outputs"])
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plant_loc_dict["total output"][output_product_name] = 0.0
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plant_loc_dict["output"][output_product_name] = product_dict = Dict()
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plant_loc_dict["output"]["send"][output_product_name] = product_dict = Dict()
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shipping_node = model.shipping_nodes[output_product_name, plant_name, location_name]
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disposal_amount = JuMP.value(model.vars.dispose[shipping_node])
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if disposal_amount > 1e-5
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plant_loc_dict["output"]["dispose"][output_product_name] = disposal_dict = Dict()
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disposal_dict["amount"] = JuMP.value(model.vars.dispose[shipping_node])
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disposal_dict["cost"] = disposal_dict["amount"] * shipping_node.disposal_cost
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plant_loc_dict["total output"][output_product_name] += disposal_amount
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output["costs"]["disposal"] += disposal_dict["cost"]
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end
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for a in shipping_node.outgoing_arcs
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if vals[a] <= 0
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continue
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@ -342,9 +390,14 @@ function get_solution(instance::ReverseManufacturingInstance,
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if !(a.dest.plant_name in keys(product_dict))
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product_dict[a.dest.plant_name] = Dict{Any,Any}()
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end
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dest_location = instance.plants[a.dest.plant_name]["locations"][a.dest.location_name]
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val = round(vals[a], digits=5)
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plant_loc_dict["total output"][output_product_name] += val
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product_dict[a.dest.plant_name][a.dest.location_name] = val
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product_dict[a.dest.plant_name][a.dest.location_name] = dict = Dict()
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dict["amount"] = val
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dict["distance"] = a.values["distance"]
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dict["latitude"] = dest_location["latitude"]
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dict["longitude"] = dest_location["longitude"]
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end
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end
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