diff --git a/src/julia/Manifest.toml b/src/julia/Manifest.toml
index 5de577b..21fc833 100644
--- a/src/julia/Manifest.toml
+++ b/src/julia/Manifest.toml
@@ -3,6 +3,24 @@
 [[Base64]]
 uuid = "2a0f44e3-6c83-55bd-87e4-b1978d98bd5f"
 
+[[BenchmarkTools]]
+deps = ["JSON", "Logging", "Printf", "Statistics", "UUIDs"]
+git-tree-sha1 = "9e62e66db34540a0c919d72172cc2f642ac71260"
+uuid = "6e4b80f9-dd63-53aa-95a3-0cdb28fa8baf"
+version = "0.5.0"
+
+[[BinaryProvider]]
+deps = ["Libdl", "SHA"]
+git-tree-sha1 = "5b08ed6036d9d3f0ee6369410b830f8873d4024c"
+uuid = "b99e7846-7c00-51b0-8f62-c81ae34c0232"
+version = "0.5.8"
+
+[[Bzip2_jll]]
+deps = ["Libdl", "Pkg"]
+git-tree-sha1 = "3663bfffede2ef41358b6fc2e1d8a6d50b3c3904"
+uuid = "6e34b625-4abd-537c-b88f-471c36dfa7a0"
+version = "1.0.6+2"
+
 [[CEnum]]
 git-tree-sha1 = "62847acab40e6855a9b5905ccb99c2b5cf6b3ebb"
 uuid = "fa961155-64e5-5f13-b03f-caf6b980ea82"
@@ -16,16 +34,70 @@ repo-url = "git@github.com:iSoron/CPLEXW.git"
 uuid = "cfecb002-79c2-11e9-35be-cb59aa640f85"
 version = "1.0.0"
 
+[[Calculus]]
+deps = ["LinearAlgebra"]
+git-tree-sha1 = "f641eb0a4f00c343bbc32346e1217b86f3ce9dad"
+uuid = "49dc2e85-a5d0-5ad3-a950-438e2897f1b9"
+version = "0.5.1"
+
 [[CodeTracking]]
 deps = ["InteractiveUtils", "UUIDs"]
 git-tree-sha1 = "0becdab7e6fbbcb7b88d8de5b72e5bb2f28239f3"
 uuid = "da1fd8a2-8d9e-5ec2-8556-3022fb5608a2"
 version = "0.5.8"
 
+[[CodecBzip2]]
+deps = ["Bzip2_jll", "Libdl", "TranscodingStreams"]
+git-tree-sha1 = "2fee975d68f9a8b22187ae86e33c0829b30cf231"
+uuid = "523fee87-0ab8-5b00-afb7-3ecf72e48cfd"
+version = "0.7.1"
+
+[[CodecZlib]]
+deps = ["TranscodingStreams", "Zlib_jll"]
+git-tree-sha1 = "ded953804d019afa9a3f98981d99b33e3db7b6da"
+uuid = "944b1d66-785c-5afd-91f1-9de20f533193"
+version = "0.7.0"
+
+[[CommonSubexpressions]]
+deps = ["Test"]
+git-tree-sha1 = "efdaf19ab11c7889334ca247ff4c9f7c322817b0"
+uuid = "bbf7d656-a473-5ed7-a52c-81e309532950"
+version = "0.2.0"
+
+[[CompilerSupportLibraries_jll]]
+deps = ["Libdl", "Pkg"]
+git-tree-sha1 = "7c4f882c41faa72118841185afc58a2eb00ef612"
+uuid = "e66e0078-7015-5450-92f7-15fbd957f2ae"
+version = "0.3.3+0"
+
+[[Conda]]
+deps = ["JSON", "VersionParsing"]
+git-tree-sha1 = "7a58bb32ce5d85f8bf7559aa7c2842f9aecf52fc"
+uuid = "8f4d0f93-b110-5947-807f-2305c1781a2d"
+version = "1.4.1"
+
+[[DataStructures]]
+deps = ["InteractiveUtils", "OrderedCollections"]
+git-tree-sha1 = "4dead20a1606a60292529023d6eac18a1ef6432e"
+uuid = "864edb3b-99cc-5e75-8d2d-829cb0a9cfe8"
+version = "0.17.12"
+
 [[Dates]]
 deps = ["Printf"]
 uuid = "ade2ca70-3891-5945-98fb-dc099432e06a"
 
+[[DiffResults]]
+deps = ["StaticArrays"]
+git-tree-sha1 = "da24935df8e0c6cf28de340b958f6aac88eaa0cc"
+uuid = "163ba53b-c6d8-5494-b064-1a9d43ac40c5"
+version = "1.0.2"
+
+[[DiffRules]]
+deps = ["NaNMath", "Random", "SpecialFunctions"]
+git-tree-sha1 = "eb0c34204c8410888844ada5359ac8b96292cfd1"
+uuid = "b552c78f-8df3-52c6-915a-8e097449b14b"
+version = "1.0.1"
+
 [[Distributed]]
 deps = ["Random", "Serialization", "Sockets"]
 uuid = "8ba89e20-285c-5b6f-9357-94700520ee1b"
@@ -33,15 +105,57 @@ uuid = "8ba89e20-285c-5b6f-9357-94700520ee1b"
 [[FileWatching]]
 uuid = "7b1f6079-737a-58dc-b8bc-7a2ca5c1b5ee"
 
+[[ForwardDiff]]
+deps = ["CommonSubexpressions", "DiffResults", "DiffRules", "NaNMath", "Random", "SpecialFunctions", "StaticArrays"]
+git-tree-sha1 = "869540e4367122fbffaace383a5bdc34d6e5e5ac"
+uuid = "f6369f11-7733-5829-9624-2563aa707210"
+version = "0.10.10"
+
+[[Gurobi]]
+deps = ["Libdl", "LinearAlgebra", "MathOptInterface", "MathProgBase", "SparseArrays"]
+git-tree-sha1 = "619f241433b5127f9561ddcdc75b2023513c76ea"
+uuid = "2e9cd046-0924-5485-92f1-d5272153d98b"
+version = "0.7.6"
+
+[[HTTP]]
+deps = ["Base64", "Dates", "IniFile", "MbedTLS", "Sockets"]
+git-tree-sha1 = "cd60d9a575d3b70c026d7e714212fd4ecf86b4bb"
+uuid = "cd3eb016-35fb-5094-929b-558a96fad6f3"
+version = "0.8.13"
+
+[[IniFile]]
+deps = ["Test"]
+git-tree-sha1 = "098e4d2c533924c921f9f9847274f2ad89e018b8"
+uuid = "83e8ac13-25f8-5344-8a64-a9f2b223428f"
+version = "0.5.0"
+
 [[InteractiveUtils]]
 deps = ["Markdown"]
 uuid = "b77e0a4c-d291-57a0-90e8-8db25a27a240"
 
+[[JSON]]
+deps = ["Dates", "Mmap", "Parsers", "Unicode"]
+git-tree-sha1 = "b34d7cef7b337321e97d22242c3c2b91f476748e"
+uuid = "682c06a0-de6a-54ab-a142-c8b1cf79cde6"
+version = "0.21.0"
+
+[[JSONSchema]]
+deps = ["BinaryProvider", "HTTP", "JSON"]
+git-tree-sha1 = "b0a7f9328967df5213691d318a03cf70ea8c76b1"
+uuid = "7d188eb4-7ad8-530c-ae41-71a32a6d4692"
+version = "0.2.0"
+
+[[JuMP]]
+deps = ["Calculus", "DataStructures", "ForwardDiff", "LinearAlgebra", "MathOptInterface", "MutableArithmetics", "NaNMath", "Random", "SparseArrays", "Statistics"]
+git-tree-sha1 = "84c1cf8bec4729b8b2ef4dfc4e1db1b892ad0d30"
+uuid = "4076af6c-e467-56ae-b986-b466b2749572"
+version = "0.21.2"
+
 [[JuliaInterpreter]]
 deps = ["CodeTracking", "InteractiveUtils", "Random", "UUIDs"]
-git-tree-sha1 = "cf43000752f15c92bef4a080966810de886f3560"
+git-tree-sha1 = "2eadbbde5534346cbb837c3a75b377cba477a06d"
 uuid = "aa1ae85d-cabe-5617-a682-6adf51b2e16a"
-version = "0.7.6"
+version = "0.7.13"
 
 [[LibGit2]]
 uuid = "76f85450-5226-5b5a-8eaa-529ad045b433"
@@ -49,33 +163,99 @@ uuid = "76f85450-5226-5b5a-8eaa-529ad045b433"
 [[Libdl]]
 uuid = "8f399da3-3557-5675-b5ff-fb832c97cbdb"
 
+[[LinearAlgebra]]
+deps = ["Libdl"]
+uuid = "37e2e46d-f89d-539d-b4ee-838fcccc9c8e"
+
 [[Logging]]
 uuid = "56ddb016-857b-54e1-b83d-db4d58db5568"
 
 [[LoweredCodeUtils]]
 deps = ["JuliaInterpreter"]
-git-tree-sha1 = "b416a30717e9109fffd4d9869f2f962b5dca3162"
+git-tree-sha1 = "1c41621653250b2824b6e664ac5bd805558aeff9"
 uuid = "6f1432cf-f94c-5a45-995e-cdbf5db27b0b"
-version = "0.4.2"
+version = "0.4.3"
+
+[[MacroTools]]
+deps = ["Markdown", "Random"]
+git-tree-sha1 = "f7d2e3f654af75f01ec49be82c231c382214223a"
+uuid = "1914dd2f-81c6-5fcd-8719-6d5c9610ff09"
+version = "0.5.5"
 
 [[Markdown]]
 deps = ["Base64"]
 uuid = "d6f4376e-aef5-505a-96c1-9c027394607a"
 
+[[MathOptInterface]]
+deps = ["BenchmarkTools", "CodecBzip2", "CodecZlib", "JSON", "JSONSchema", "LinearAlgebra", "MutableArithmetics", "OrderedCollections", "SparseArrays", "Test", "Unicode"]
+git-tree-sha1 = "27f2ef85879b8f1d144266ab44f076ba0dfbd8a1"
+uuid = "b8f27783-ece8-5eb3-8dc8-9495eed66fee"
+version = "0.9.13"
+
+[[MathProgBase]]
+deps = ["LinearAlgebra", "SparseArrays"]
+git-tree-sha1 = "9abbe463a1e9fc507f12a69e7f29346c2cdc472c"
+uuid = "fdba3010-5040-5b88-9595-932c9decdf73"
+version = "0.7.8"
+
+[[MbedTLS]]
+deps = ["Dates", "MbedTLS_jll", "Random", "Sockets"]
+git-tree-sha1 = "a9e2221f06b42f56052f43ad7edecb01d0ef5ab4"
+uuid = "739be429-bea8-5141-9913-cc70e7f3736d"
+version = "1.0.1"
+
+[[MbedTLS_jll]]
+deps = ["Libdl", "Pkg"]
+git-tree-sha1 = "066a4467008745eed36dad973ceb66405785a621"
+uuid = "c8ffd9c3-330d-5841-b78e-0817d7145fa1"
+version = "2.16.0+1"
+
+[[Mmap]]
+uuid = "a63ad114-7e13-5084-954f-fe012c677804"
+
+[[MutableArithmetics]]
+deps = ["LinearAlgebra", "SparseArrays", "Test"]
+git-tree-sha1 = "e1edd618a8f39d16f8595dd622a63b25f759cf8a"
+uuid = "d8a4904e-b15c-11e9-3269-09a3773c0cb0"
+version = "0.2.9"
+
+[[NaNMath]]
+git-tree-sha1 = "928b8ca9b2791081dc71a51c55347c27c618760f"
+uuid = "77ba4419-2d1f-58cd-9bb1-8ffee604a2e3"
+version = "0.3.3"
+
+[[OpenSpecFun_jll]]
+deps = ["CompilerSupportLibraries_jll", "Libdl", "Pkg"]
+git-tree-sha1 = "d51c416559217d974a1113522d5919235ae67a87"
+uuid = "efe28fd5-8261-553b-a9e1-b2916fc3738e"
+version = "0.5.3+3"
+
 [[OrderedCollections]]
 deps = ["Random", "Serialization", "Test"]
 git-tree-sha1 = "c4c13474d23c60d20a67b217f1d7f22a40edf8f1"
 uuid = "bac558e1-5e72-5ebc-8fee-abe8a469f55d"
 version = "1.1.0"
 
+[[Parsers]]
+deps = ["Dates", "Test"]
+git-tree-sha1 = "75d07cb840c300084634b4991761886d0d762724"
+uuid = "69de0a69-1ddd-5017-9359-2bf0b02dc9f0"
+version = "1.0.1"
+
 [[Pkg]]
-deps = ["Dates", "LibGit2", "Libdl", "Logging", "Markdown", "Printf", "REPL", "Random", "SHA", "UUIDs"]
+deps = ["Dates", "LibGit2", "Libdl", "Logging", "Markdown", "Printf", "REPL", "Random", "SHA", "Test", "UUIDs"]
 uuid = "44cfe95a-1eb2-52ea-b672-e2afdf69b78f"
 
 [[Printf]]
 deps = ["Unicode"]
 uuid = "de0858da-6303-5e67-8744-51eddeeeb8d7"
 
+[[PyCall]]
+deps = ["Conda", "Dates", "Libdl", "LinearAlgebra", "MacroTools", "Serialization", "VersionParsing"]
+git-tree-sha1 = "3a3fdb9000d35958c9ba2323ca7c4958901f115d"
+uuid = "438e738f-606a-5dbb-bf0a-cddfbfd45ab0"
+version = "1.91.4"
+
 [[REPL]]
 deps = ["InteractiveUtils", "Markdown", "Sockets"]
 uuid = "3fa0cd96-eef1-5676-8a61-b3b8758bbffb"
@@ -86,9 +266,9 @@ uuid = "9a3f8284-a2c9-5f02-9a11-845980a1fd5c"
 
 [[Revise]]
 deps = ["CodeTracking", "Distributed", "FileWatching", "JuliaInterpreter", "LibGit2", "LoweredCodeUtils", "OrderedCollections", "Pkg", "REPL", "UUIDs", "Unicode"]
-git-tree-sha1 = "2ecbd19f31a934b035bfc38036d5f7ac575d0878"
+git-tree-sha1 = "6cefbc0e3b62146e564a3cf209e7370a839883da"
 uuid = "295af30f-e4ad-537b-8983-00126c2a3abe"
-version = "2.5.0"
+version = "2.6.0"
 
 [[SHA]]
 uuid = "ea8e919c-243c-51af-8825-aaa63cd721ce"
@@ -99,6 +279,26 @@ uuid = "9e88b42a-f829-5b0c-bbe9-9e923198166b"
 [[Sockets]]
 uuid = "6462fe0b-24de-5631-8697-dd941f90decc"
 
+[[SparseArrays]]
+deps = ["LinearAlgebra", "Random"]
+uuid = "2f01184e-e22b-5df5-ae63-d93ebab69eaf"
+
+[[SpecialFunctions]]
+deps = ["OpenSpecFun_jll"]
+git-tree-sha1 = "e19b98acb182567bcb7b75bb5d9eedf3a3b5ec6c"
+uuid = "276daf66-3868-5448-9aa4-cd146d93841b"
+version = "0.10.0"
+
+[[StaticArrays]]
+deps = ["LinearAlgebra", "Random", "Statistics"]
+git-tree-sha1 = "5a3bcb6233adabde68ebc97be66e95dcb787424c"
+uuid = "90137ffa-7385-5640-81b9-e52037218182"
+version = "0.12.1"
+
+[[Statistics]]
+deps = ["LinearAlgebra", "SparseArrays"]
+uuid = "10745b16-79ce-11e8-11f9-7d13ad32a3b2"
+
 [[Test]]
 deps = ["Distributed", "InteractiveUtils", "Logging", "Random"]
 uuid = "8dfed614-e22c-5e08-85e1-65c5234f0b40"
@@ -111,9 +311,26 @@ repo-url = "git@github.com:iSoron/TinyBnB.jl.git"
 uuid = "1b2a1171-e557-4eeb-a4d6-6c23d7e94fcd"
 version = "1.1.0"
 
+[[TranscodingStreams]]
+deps = ["Random", "Test"]
+git-tree-sha1 = "7c53c35547de1c5b9d46a4797cf6d8253807108c"
+uuid = "3bb67fe8-82b1-5028-8e26-92a6c54297fa"
+version = "0.9.5"
+
 [[UUIDs]]
 deps = ["Random", "SHA"]
 uuid = "cf7118a7-6976-5b1a-9a39-7adc72f591a4"
 
 [[Unicode]]
 uuid = "4ec0a83e-493e-50e2-b9ac-8f72acf5a8f5"
+
+[[VersionParsing]]
+git-tree-sha1 = "80229be1f670524750d905f8fc8148e5a8c4537f"
+uuid = "81def892-9a0e-5fdd-b105-ffc91e053289"
+version = "1.2.0"
+
+[[Zlib_jll]]
+deps = ["Libdl", "Pkg"]
+git-tree-sha1 = "2f6c3e15e20e036ee0a0965879b31442b7ec50fa"
+uuid = "83775a58-1f1d-513f-b197-d71354ab007a"
+version = "1.2.11+9"
diff --git a/src/julia/Project.toml b/src/julia/Project.toml
index dde2a27..7d6d77c 100644
--- a/src/julia/Project.toml
+++ b/src/julia/Project.toml
@@ -5,4 +5,10 @@ version = "0.1.0"
 
 [deps]
 CPLEXW = "cfecb002-79c2-11e9-35be-cb59aa640f85"
+Gurobi = "2e9cd046-0924-5485-92f1-d5272153d98b"
+JuMP = "4076af6c-e467-56ae-b986-b466b2749572"
+MathOptInterface = "b8f27783-ece8-5eb3-8dc8-9495eed66fee"
+PyCall = "438e738f-606a-5dbb-bf0a-cddfbfd45ab0"
+Revise = "295af30f-e4ad-537b-8983-00126c2a3abe"
+Test = "8dfed614-e22c-5e08-85e1-65c5234f0b40"
 TinyBnB = "1b2a1171-e557-4eeb-a4d6-6c23d7e94fcd"