diff --git a/docs/src/apireference.md b/docs/src/apireference.md
index d2741fc8a..26ed0823e 100644
--- a/docs/src/apireference.md
+++ b/docs/src/apireference.md
@@ -78,6 +78,7 @@ SDDP.DefaultForwardPass
 SDDP.RevisitingForwardPass
 SDDP.RiskAdjustedForwardPass
 SDDP.AlternativeForwardPass
+SDDP.AlternativePostIterationCallback
 ```
 
 ### Risk Measures
diff --git a/docs/src/examples/air_conditioning_forward.jl b/docs/src/examples/air_conditioning_forward.jl
index 80787c1a6..bc1be57a5 100644
--- a/docs/src/examples/air_conditioning_forward.jl
+++ b/docs/src/examples/air_conditioning_forward.jl
@@ -35,7 +35,7 @@ non_convex = create_air_conditioning_model(; convex = false)
 SDDP.train(
     convex;
     forward_pass = SDDP.AlternativeForwardPass(non_convex),
-    parallel_scheme = SDDP.AlternativeParallelScheme(non_convex),
+    post_iteration_callback = SDDP.AlternativePostIterationCallback(non_convex),
     iteration_limit = 10,
 )
 Test.@test isapprox(SDDP.calculate_bound(non_convex), 62_500.0, atol = 0.1)
diff --git a/docs/src/examples/pglib_opf.jl b/docs/src/examples/pglib_opf.jl
index a9952ccf0..633bcc920 100644
--- a/docs/src/examples/pglib_opf.jl
+++ b/docs/src/examples/pglib_opf.jl
@@ -5,12 +5,25 @@
 
 # # Alternative forward models
 
+# This example demonstrates how to train convex and non-convex models.
+
+# This example uses teh following packages:
+
 using SDDP
 import Ipopt
 import PowerModels
 import Test
 
-function build_model(filename, model_type)
+# ## Formulation
+
+# For our model, we build a simple optimal power flow model with a single
+# hydro-electric generator.
+
+# The formulation of our optimal power flow problem depends on `model_type`,
+# which must be on of the `PowerModels` formulations.
+
+function build_model(model_type)
+    filename = joinpath(@__DIR__, "pglib_opf_case5_pjm.m")
     data = PowerModels.parse_file(filename)
     return SDDP.PolicyGraph(
         SDDP.UnicyclicGraph(0.95);
@@ -39,18 +52,38 @@ function build_model(filename, model_type)
     end
 end
 
-filename = joinpath(@__DIR__, "pglib_opf_case5_pjm.m")
-convex = build_model(filename, PowerModels.DCPPowerModel)
+# ## Training a convex model
+
+# We can build and train a convex approximation of the optimal power flow
+# problem.
+
+# The problem with the convex model is that it does not accurately simulate the
+# true dynamics of the problem. Therefore, it under-estimates the true cost of
+# operation.
+
+convex = build_model(PowerModels.DCPPowerModel)
 SDDP.train(convex; iteration_limit = 10)
 
-non_convex = build_model(filename, PowerModels.ACPPowerModel)
+# ## Training a non-convex model
+
+# We can also build and train the true non-convex formulation of the optimal
+# power flow problem.
+
+# The problem with the non-convex model is that because it is non-convex,
+# SDDP.jl may find a sub-optimal policy. Therefore, it may over-estimate the
+# true cost of operation.
+
+non_convex = build_model(PowerModels.ACPPowerModel)
 SDDP.train(non_convex; iteration_limit = 10)
 
-convex = build_model(filename, PowerModels.DCPPowerModel)
+# ## Combining convex and non-convex models
+
+# As a compromise, we can combine the convex and non-convex models.
+convex = build_model(PowerModels.DCPPowerModel)
 non_convex = build_model(filename, PowerModels.ACPPowerModel)
 SDDP.train(
     convex;
     forward_pass = SDDP.AlternativeForwardPass(non_convex),
-    parallel_scheme = SDDP.AlternativeParallelScheme(non_convex),
+    post_iteration_callback = SDDP.AlternativePostIterationCallback(non_convex),
     iteration_limit = 10,
 )
diff --git a/src/algorithm.jl b/src/algorithm.jl
index cf166bb1f..0586da3da 100644
--- a/src/algorithm.jl
+++ b/src/algorithm.jl
@@ -99,7 +99,7 @@ struct Options{T}
     duality_handler::AbstractDualityHandler
     # A callback called after the forward pass.
     forward_pass_callback::Any
-
+    post_iteration_callback::Any
     # Internal function: users should never construct this themselves.
     function Options(
         model::PolicyGraph{T},
@@ -119,6 +119,7 @@ struct Options{T}
         forward_pass::AbstractForwardPass = DefaultForwardPass(),
         duality_handler::AbstractDualityHandler = ContinuousConicDuality(),
         forward_pass_callback = x -> nothing,
+        post_iteration_callback = result -> nothing
     ) where {T}
         return new{T}(
             initial_state,
@@ -140,6 +141,7 @@ struct Options{T}
             forward_pass,
             duality_handler,
             forward_pass_callback,
+            post_iteration_callback,
         )
     end
 end
@@ -913,6 +915,10 @@ Train the policy for `model`.
  - `duality_handler::AbstractDualityHandler`: specify a duality handler to use
    when creating cuts.
 
+ - `post_iteration_callback::Function`: a callback with the signature
+   `post_iteration_callback(::IterationResult)` that is evaluated after each
+   iteration of the algorithm.
+
 There is also a special option for infinite horizon problems
 
  - `cycle_discretization_delta`: the maximum distance between states allowed on
@@ -943,6 +949,7 @@ function train(
     add_to_existing_cuts::Bool = false,
     duality_handler::AbstractDualityHandler = SDDP.ContinuousConicDuality(),
     forward_pass_callback::Function = (x) -> nothing,
+    post_iteration_callback = result -> nothing,
 )
     function log_frequency_f(log::Vector{Log})
         if mod(length(log), log_frequency) != 0
@@ -1063,6 +1070,7 @@ function train(
         forward_pass,
         duality_handler,
         forward_pass_callback,
+        post_iteration_callback,
     )
     status = :not_solved
     try
diff --git a/src/alternative_forward.jl b/src/alternative_forward.jl
index 50af605d1..9697389ac 100644
--- a/src/alternative_forward.jl
+++ b/src/alternative_forward.jl
@@ -11,6 +11,10 @@
 A forward pass that simulates using `forward_model`, which may be different to
 the model used in the backwards pass.
 
+When using this forward pass, you should almost always pass
+[`SDDP.AlternativePostIterationCallback`](@ref) to the `post_iteration_callback`
+argument of [`SDDP.train`](@ref).
+
 This forward pass is most useful when the `forward_model` is non-convex and we
 use a convex approximation of the model in the backward pass.
 
@@ -44,27 +48,17 @@ function forward_pass(
     return forward_pass(pass.model, options, pass.forward_pass)
 end
 
-struct AlternativeParallelScheme{T} <: AbstractParallelScheme
+"""
+    AlternativePostIterationCallback(forward_model::PolicyGraph)
+
+A post-iteration callback that should be used whenever [`SDDP.AlternativeForwardPass`](@ref)
+is used.
+"""
+struct AlternativePostIterationCallback{T}
     model::PolicyGraph{T}
 end
 
-Base.show(io::IO, ::AlternativeParallelScheme) = print(io, "alternative")
-
-interrupt(::AlternativeParallelScheme) = nothing
-
-function master_loop(
-    scheme::AlternativeParallelScheme{T},
-    model::PolicyGraph{T},
-    options::Options,
-) where {T}
-    _initialize_solver(model; throw_error = false)
-    while true
-        result = iteration(model, options)
-        slave_update(scheme.model, result)
-        log_iteration(options)
-        if result.has_converged
-            return result.status
-        end
-    end
+function (callback::AlternativePostIterationCallback)(result::IterationResult)
+    slave_update(callback.model, result)
     return
 end
diff --git a/src/plugins/parallel_schemes.jl b/src/plugins/parallel_schemes.jl
index 631bd3008..951e9298d 100644
--- a/src/plugins/parallel_schemes.jl
+++ b/src/plugins/parallel_schemes.jl
@@ -40,6 +40,7 @@ function master_loop(
     _initialize_solver(model; throw_error = false)
     while true
         result = iteration(model, options)
+        options.post_iteration_callback(result)
         log_iteration(options)
         if result.has_converged
             return result.status
@@ -167,6 +168,7 @@ function slave_loop(
         results_to_add = IterationResult{T}[]
         while true
             result = iteration(model, options)
+            options.post_iteration_callback(result)
             # The next four lines are subject to a race condition: if the master closes
             # `results` _after_ the call to `isopen` and _before_` the call to `put!` has
             # executed, we get an `InvalidStateException`. This gets trapped in the outer
@@ -243,6 +245,7 @@ function master_loop(
         # implementation anyway.
         while async.use_master && !isready(results)
             result = iteration(model, options)
+            options.post_iteration_callback(result)
             for (_, ch) in updates
                 put!(ch, result)
             end