From 1be1c890249c75273ba51f8cc9da5141e13e03a1 Mon Sep 17 00:00:00 2001 From: Amit Challana <50020662+arora-amit37@users.noreply.github.com> Date: Sat, 7 Oct 2023 18:23:54 +0200 Subject: [PATCH] Add files via upload --- Distance Matrix.csv | 33 +++++ Supply Chain Network Optimization.R | 200 ++++++++++++++++++++++++++ Supply-Chain-Network-Optimisation.pdf | Bin 0 -> 1673900 bytes 3 files changed, 233 insertions(+) create mode 100644 Distance Matrix.csv create mode 100644 Supply Chain Network Optimization.R create mode 100644 Supply-Chain-Network-Optimisation.pdf diff --git a/Distance Matrix.csv b/Distance Matrix.csv new file mode 100644 index 0000000..fe9d7ac --- /dev/null +++ b/Distance Matrix.csv @@ -0,0 +1,33 @@ +Source,Destination,Distance +Liverpool,Newcastle,178 +Liverpool,Birmingham,99 +Liverpool,London,221 +Liverpool,Exeter,251 +Brighton,Newcastle,345 +Brighton,Birmingham,176 +Brighton,London,65 +Brighton,Exeter,206 +Newcastle,Carlisle,60 +Newcastle,Darlington,37 +Newcastle,Sheffield,130 +Newcastle,Cambridge,236 +Newcastle,Oxford,258 +Newcastle,Truro,458 +Birmingham,Carlisle,193 +Birmingham,Darlington,172 +Birmingham,Sheffield,91 +Birmingham,Cambridge,99 +Birmingham,Oxford,79 +Birmingham,Truro,249 +London,Carlisle,307 +London,Darlington,249 +London,Sheffield,168 +London,Cambridge,58 +London,Oxford,56 +London,Truro,284 +Exeter,Carlisle,346 +Exeter,Darlington,354 +Exeter,Sheffield,251 +Exeter,Cambridge,248 +Exeter,Oxford,163 +Exeter,Truro,90 diff --git a/Supply Chain Network Optimization.R b/Supply Chain Network Optimization.R new file mode 100644 index 0000000..bc05dc7 --- /dev/null +++ b/Supply Chain Network Optimization.R @@ -0,0 +1,200 @@ +# +# SUPPLY CHAIN NETWORK OPTIMIZATION + +# Coursera Guided Project +# Instructor - Moses Gummadi + +# We use R Library "lpSolve API" for Optimization +# Reference - https://cran.r-project.org/web/packages/lpSolveAPI/index.html + +# This is an R Script file +# You can open this in R Studio +# Use # symbol for comments in R Script file +# The script file contains code and comments +# You can run the code by typing it next to ">" symbol +# in the Console window (bottom left) +# You can also run the code by selecting the code in +# the script file and hit "Run" in the top-left pane + +# R Studio is already downloaded in your Rhyme Desktop +# To download on your own desktop +# Use this link https://rstudio.com/products/rstudio/ +# Choose the RStudio Desktop Free Option + +# --------------------------------------------------------- +# Task 1 - Introduction +# --------------------------------------------------------- + +# R lpSolve API Optmization Steps: +# Determine Number of Variables, Assign Names +# Define & Add Objective Function +# Determine & Add The Constraints +# Solve The Optimization Problem +# Obtain & Export The Solution + +# Add Libraries +check = c("lpSolveAPI","data.table") %in% installed.packages() +if(!check[1]) install.packages("lpSolveAPI") +if(!check[2]) install.packages("data.table") +library(lpSolveAPI); library(data.table) + +#setwd("~/Documents/Coursera Instructor/Optimisation") +setwd("C:/Users/r0869080/Downloads") + +# Distance Matrix +Dist = fread("Distance Matrix.csv") +Dist$Index = 1:nrow(Dist) + +# Factories & Capacities +FT = data.table(Factory = unique(Dist$Source)[1:2], + Capacity = c(150000, 200000)) + +# Distribution Centres & Throughputs +DC = data.table( + DistCentre = unique(Dist$Source)[3:6], + Throughput = c(70000, 50000,100000,40000)) + +# Customers & Demands +CT = data.table(Customer = unique(Dist$Destination)[5:10], + Demand = c(50000,10000,40000,35000,60000,20000)) + +print(Dist) +print(FT) +print(DC) +print(CT) + +# Exercise - run the above code + + +# --------------------------------------------------------- +# Task 2 - Problem Formulation & Objective Function +# --------------------------------------------------------- + +# lpSolve Object (0 constraints, nrow(Dist) variables) +m <- make.lp(0,nrow(Dist)) + +# Cost Function - Minimize Cost = Qty Shipped x Distance +# set.objfn(model, vector of coefficients of all Xs) +set.objfn(m,Dist$Distance) + +# Exercise 1: Run the Above Code + +# Exercise 2: +# Display the Customer Demand (figures only) +# Use the $ to get the column from dataframe + +CT$Demand + + +# --------------------------------------------------------- +# Task 3 - Factory Capacity Constraints +# Qty leaving Factory <= Capacity +# --------------------------------------------------------- + +# add.constraint(model, coeff, sign, rhs, indexes) + +xcoef = rep(1, nrow(Dist[Source == "Liverpool"])) +xpos = Dist[Source == "Liverpool"]$Index +xrhs = FT[Factory == "Liverpool"]$Capacity +add.constraint(m,xcoef,"<=", xrhs, xpos) + +xcoef = rep(1, nrow(Dist[Source == "Brighton"])) +xpos = Dist[Source == "Brighton"]$Index +xrhs = FT[Factory == "Brighton"]$Capacity +add.constraint(m,xcoef,"<=", xrhs, xpos) + + +# Exercise 1: Run the Above Code + +# Exercise 2: +# Subset "Dist" by Source = "Newcastle" +# Extract index values for the above + +Dist[Source == "Newcastle"] +Dist[Source == "Newcastle"]$Index + +# --------------------------------------------------------- +# Task 4 - Distribution Centre Constraints +# Qty out of DC - Qty into DC = 0 +# Qty out of DC <= DC Throughput Limit +# --------------------------------------------------------- + +# Qty out of DC - Qty into DC = 0 +for(i in DC$DistCentre) { + xcoef = c(rep(1, nrow(Dist[Source == i])), + rep(-1, nrow(Dist[Destination == i]))) + xpos = c(Dist[Source == i]$Index, + Dist[Destination == i]$Index) + add.constraint(m,xcoef,"=", 0, xpos) +} + +# Qty out of DC <= DC Throughput Limit +# Do it in the exercise + +# Exercise 1: Run the Above Code + +# Exercise 2: Add the 2nd constraint: +# Qty out of DC <= DC Throughput Limit + +for(i in DC$DistCentre) { + xcoef = rep(1, nrow(Dist[Source == i])) + xpos = Dist[Source == i]$Index + xrhs = DC[DistCentre == i]$Throughput + add.constraint(m,xcoef,"<=", xrhs, xpos) +} + + + + +# --------------------------------------------------------- +# Task 5 - Customer Demand Constraints +# Qty into Customer = Demand +# Integer Constraint +# --------------------------------------------------------- + +# Qty into Customer = Demand +for(i in CT$Customer) { + xcoef = rep(1, nrow(Dist[Destination == i])) + xpos = Dist[Destination == i]$Index + xrhs = CT[Customer == i]$Demand + add.constraint(m,xcoef,"=", xrhs, xpos) +} + +# Exercise 1: Run the Above Code + +# Exercise 2: Apply "integer" constraints +# Use set.type(model, variable indexes, "integer") + +set.type(m, Dist$Index,"integer") + +# --------------------------------------------------------- +# Task 6 - Run Optimiser, Obtain & Analyse Solution +# --------------------------------------------------------- + +# Solve & Get Solution +x = proc.time() +lp.control(m, timeout = 10) + +solve(m) +proc.time() - x + +get.objective(m) + +out = get.variables(m) +Dist$Qty = out + +Dist[Qty != 0] + +# Exercise 1: Run the Above Code + +# Exercise 2: +# Change Factory Capacities To +# Liverpool = 250,000 +# Brighton = 100,000 +# And run the solver again + + + +# --------------------------------------------------------- +# End of Guided Project - Thank You +# --------------------------------------------------------- diff --git a/Supply-Chain-Network-Optimisation.pdf b/Supply-Chain-Network-Optimisation.pdf new file mode 100644 index 0000000000000000000000000000000000000000..e3162bf4f76b48d18c514ce827eb084e7f46bee7 GIT binary patch literal 1673900 zcmZs?Wmp`|@;OMnpE0|Zz!c<|s3i@OtaA!u-i5Fo*m;O>jNySuwPy!)Kz zoZt2T@P62yp1NCV>YD1hr@NM3SyGCXlZ_jLzH{q*>!9Ewd$h9~gB!#Faxk&R5E25h zOIg{vLY(1OTVq#;H2heO*pzI>yS*pK)~NQ*Wi#Ln=quW)^k?(w z#48I8w^f|KH_ zw_s6JTE`r?Rc;owm!BNoEWtDPCW0FvadW&`aN9nt@tj3?{pug5;*GjE5?StTrOQS zT8#Mn-7HLK9xcg7E`(fFM0uCHQ$GxV6^;UYP5DgD+_i6fb;%WcFRu<-p3d!hOB>9b z?-=yC9$JO(V|Gf*?)|ew{2um?mIh`y&4&QjAyTA;)Zwa}Ac0Y!xe2 z-%t*IImCM0TrAX zE)Gw)&$ACyu^n}0Uv8)pjeCFD_?F^PnwH9*+2UuZm8`|8nOr87oLbRS7D3 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