diff --git a/test/Project.toml b/test/Project.toml
index b87293d..5a175be 100644
--- a/test/Project.toml
+++ b/test/Project.toml
@@ -3,6 +3,7 @@ Cbc = "9961bab8-2fa3-5c5a-9d89-47fab24efd76"
 DataStructures = "864edb3b-99cc-5e75-8d2d-829cb0a9cfe8"
 Distributions = "31c24e10-a181-5473-b8eb-7969acd0382f"
 GZip = "92fee26a-97fe-5a0c-ad85-20a5f3185b63"
+HiGHS = "87dc4568-4c63-4d18-b0c0-bb2238e4078b"
 JSON = "682c06a0-de6a-54ab-a142-c8b1cf79cde6"
 JuMP = "4076af6c-e467-56ae-b986-b466b2749572"
 LinearAlgebra = "37e2e46d-f89d-539d-b4ee-838fcccc9c8e"
diff --git a/test/fixtures/aelmp_simple.json.gz b/test/fixtures/aelmp_simple.json.gz
new file mode 100644
index 0000000..aaa9325
Binary files /dev/null and b/test/fixtures/aelmp_simple.json.gz differ
diff --git a/test/fixtures/lmp_simple_test_1.json.gz b/test/fixtures/lmp_simple_test_1.json.gz
new file mode 100644
index 0000000..5ec9a7f
Binary files /dev/null and b/test/fixtures/lmp_simple_test_1.json.gz differ
diff --git a/test/fixtures/lmp_simple_test_2.json.gz b/test/fixtures/lmp_simple_test_2.json.gz
new file mode 100644
index 0000000..f23d08a
Binary files /dev/null and b/test/fixtures/lmp_simple_test_2.json.gz differ
diff --git a/test/fixtures/lmp_simple_test_3.json.gz b/test/fixtures/lmp_simple_test_3.json.gz
new file mode 100644
index 0000000..5cb48f4
Binary files /dev/null and b/test/fixtures/lmp_simple_test_3.json.gz differ
diff --git a/test/fixtures/lmp_simple_test_4.json.gz b/test/fixtures/lmp_simple_test_4.json.gz
new file mode 100644
index 0000000..cddf8af
Binary files /dev/null and b/test/fixtures/lmp_simple_test_4.json.gz differ
diff --git a/test/lmp/aelmp_test.jl b/test/lmp/aelmp_test.jl
new file mode 100644
index 0000000..cfa80ba
--- /dev/null
+++ b/test/lmp/aelmp_test.jl
@@ -0,0 +1,39 @@
+# UnitCommitment.jl: Optimization Package for Security-Constrained Unit Commitment
+# Copyright (C) 2020, UChicago Argonne, LLC. All rights reserved.
+# Released under the modified BSD license. See COPYING.md for more details.
+
+using UnitCommitment, Cbc, HiGHS, JuMP
+import UnitCommitment:
+    AELMP
+
+@testset "aelmp" begin
+    path = "$FIXTURES/aelmp_simple.json.gz"
+    # model has to be solved first
+    instance = UnitCommitment.read(path)
+    model = UnitCommitment.build_model(
+        instance=instance,
+        optimizer=Cbc.Optimizer,
+        variable_names = true,
+    )
+    JuMP.set_silent(model)
+    UnitCommitment.optimize!(model)
+
+    # policy 1: allow offlines; consider startups
+    aelmp_1 = UnitCommitment.compute_lmp(
+        model, 
+        AELMP.Method(),
+        optimizer=HiGHS.Optimizer
+    )
+    @test aelmp_1["B1", 1] ≈ 231.7 atol = 0.1
+
+    # policy 2: do not allow offlines; but consider startups
+    aelmp_2 = UnitCommitment.compute_lmp(
+        model, 
+        AELMP.Method(
+            allow_offline_participation=false,
+            consider_startup_costs=true
+        ),
+        optimizer=HiGHS.Optimizer
+    )
+    @test aelmp_2["B1", 1] ≈ 274.3 atol = 0.1
+end
\ No newline at end of file
diff --git a/test/lmp/lmp_test.jl b/test/lmp/lmp_test.jl
new file mode 100644
index 0000000..e219501
--- /dev/null
+++ b/test/lmp/lmp_test.jl
@@ -0,0 +1,54 @@
+# UnitCommitment.jl: Optimization Package for Security-Constrained Unit Commitment
+# Copyright (C) 2020, UChicago Argonne, LLC. All rights reserved.
+# Released under the modified BSD license. See COPYING.md for more details.
+
+using UnitCommitment, Cbc, HiGHS, JuMP
+import UnitCommitment:
+    LMP
+
+function solve_lmp_testcase(path::String)
+    instance = UnitCommitment.read(path)
+    model = UnitCommitment.build_model(
+        instance = instance,
+        optimizer = Cbc.Optimizer,
+        variable_names = true,
+    )
+    # set silent, solve the UC
+    JuMP.set_silent(model)
+    UnitCommitment.optimize!(model)
+    # get the lmp
+    lmp = UnitCommitment.compute_lmp(
+        model,
+        LMP.Method(),
+        optimizer=HiGHS.Optimizer,
+    )
+    return lmp
+end
+
+@testset "lmp" begin
+    # instance 1
+    path = "$FIXTURES/lmp_simple_test_1.json.gz"
+    lmp = solve_lmp_testcase(path)
+    @test lmp["A", 1] == 50.0
+    @test lmp["B", 1] == 50.0
+
+    # instance 2
+    path = "$FIXTURES/lmp_simple_test_2.json.gz"
+    lmp = solve_lmp_testcase(path)
+    @test lmp["A", 1] == 50.0
+    @test lmp["B", 1] == 60.0
+
+    # instance 3
+    path = "$FIXTURES/lmp_simple_test_3.json.gz"
+    lmp = solve_lmp_testcase(path)
+    @test lmp["A", 1] == 50.0
+    @test lmp["B", 1] == 70.0
+    @test lmp["C", 1] == 100.0
+
+    # instance 4
+    path = "$FIXTURES/lmp_simple_test_4.json.gz"
+    lmp = solve_lmp_testcase(path)
+    @test lmp["A", 1] == 50.0
+    @test lmp["B", 1] == 70.0
+    @test lmp["C", 1] == 90.0
+end
\ No newline at end of file
diff --git a/test/runtests.jl b/test/runtests.jl
index 9a61bf2..4203495 100644
--- a/test/runtests.jl
+++ b/test/runtests.jl
@@ -39,4 +39,8 @@ FIXTURES = "$(@__DIR__)/fixtures"
     @testset "validation" begin
         include("validation/repair_test.jl")
     end
+    @testset "lmp" begin
+        include("lmp/lmp_test.jl")
+        include("lmp/aelmp_test.jl")
+    end
 end