Prof. Dr. SUHARTONO, M.Kom

Lembaga : Universitas Islam Negeri Maulana Malik Ibrahim Malang

Fakultas : Sains dan Teknologi

Program Studi : Teknik Informatika

Kelas : C


Optimasi merupakan salah satu operasi pada kalkulus dimana Optimasi: menemukan input yang menghasilkan output terbesar, Di dunia banyak sekali data yang memiliki batas maksimal dan batas minimum, Dalam kalkulus sendiri terdapat optimasi yang dapat membantu kita dalam meencari nilai terbsesar dari suatu ouput 

library(mosaicCalc)
## Loading required package: mosaic
## Registered S3 method overwritten by 'mosaic':
##   method                           from   
##   fortify.SpatialPolygonsDataFrame ggplot2
## 
## The 'mosaic' package masks several functions from core packages in order to add 
## additional features.  The original behavior of these functions should not be affected by this.
## 
## Attaching package: 'mosaic'
## The following objects are masked from 'package:dplyr':
## 
##     count, do, tally
## The following object is masked from 'package:Matrix':
## 
##     mean
## The following object is masked from 'package:ggplot2':
## 
##     stat
## The following objects are masked from 'package:stats':
## 
##     binom.test, cor, cor.test, cov, fivenum, IQR, median, prop.test,
##     quantile, sd, t.test, var
## The following objects are masked from 'package:base':
## 
##     max, mean, min, prod, range, sample, sum
## Loading required package: mosaicCore
## 
## Attaching package: 'mosaicCore'
## The following objects are masked from 'package:dplyr':
## 
##     count, tally
## The legacy packages maptools, rgdal, and rgeos, underpinning the sp package,
## which was just loaded, will retire in October 2023.
## Please refer to R-spatial evolution reports for details, especially
## https://r-spatial.org/r/2023/05/15/evolution4.html.
## It may be desirable to make the sf package available;
## package maintainers should consider adding sf to Suggests:.
## The sp package is now running under evolution status 2
##      (status 2 uses the sf package in place of rgdal)
## 
## Attaching package: 'mosaicCalc'
## The following object is masked from 'package:stats':
## 
##     D
Engines$bore
##  [1]  13.5  15.0  16.5  21.0  24.0  24.0  24.0  27.0  15.9  27.0  34.0  44.0
## [13]  70.0  90.0  92.0  98.0 100.0 106.0 102.0 102.0 124.0 105.0 124.0 133.0
## [25] 101.0 102.0 194.0 155.0 140.0 165.0 239.0 162.0 250.0 356.0 406.0 508.0
## [37] 457.0 900.0 840.0
summary(Engines)
##     Engine               mass             ncylinder         strokes    
##  Length:39          Min.   :     0.14   Min.   : 1.000   Min.   :2.00  
##  Class :character   1st Qu.:     1.69   1st Qu.: 1.500   1st Qu.:4.00  
##  Mode  :character   Median :   135.00   Median : 6.000   Median :4.00  
##                     Mean   :  6511.12   Mean   : 7.795   Mean   :3.59  
##                     3rd Qu.:  1290.00   3rd Qu.:12.000   3rd Qu.:4.00  
##                     Max.   :102300.00   Max.   :24.000   Max.   :4.00  
##   displacement           bore           stroke            BHP           
##  Min.   :       2   Min.   : 13.5   Min.   :  12.5   Min.   :    0.450  
##  1st Qu.:      35   1st Qu.: 30.5   1st Qu.:  26.5   1st Qu.:    3.475  
##  Median :    4700   Median :102.0   Median :  92.0   Median :  140.000  
##  Mean   :  738830   Mean   :166.8   Mean   : 213.0   Mean   : 2605.668  
##  3rd Qu.:   58900   3rd Qu.:163.5   3rd Qu.: 170.0   3rd Qu.: 2275.000  
##  Max.   :11900000   Max.   :900.0   Max.   :1800.0   Max.   :27800.000  
##       RPM       
##  Min.   :  110  
##  1st Qu.: 2300  
##  Median : 2800  
##  Mean   : 6235  
##  3rd Qu.: 9000  
##  Max.   :26000
x <- Engines$bore

Engines merupakan sekumpulan data yang sudah di sediakan oleh R dalam engines tersebut banyak sekali kumpulan data, namun pada kesempatan kali ini saya akan menggunakan tipe dari data bore.

summary salah satu perintah bawaan dari R untuk mencari beberapa nilai statistika mulai dari nilai max, nilai min, mean median quartil

x[1:20]
##  [1]  13.5  15.0  16.5  21.0  24.0  24.0  24.0  27.0  15.9  27.0  34.0  44.0
## [13]  70.0  90.0  92.0  98.0 100.0 106.0 102.0 102.0
y <- x[1:20]
min(y)
## [1] 13.5
max(y)
## [1] 106

min dan max digunakan untuk mencari nilai terbesar dan terkecil dengan rentang data mulai dari 1 sampai 20

plot(x[1:20] ,type = "l", col = "blue", lwd = 2,  ylim = c(min(y), 120))
abline(h = max(y), col = "red", lty = 1)
abline(h = min(y), col = "green", lty = 1)
x_label <- "Data Point"
y_label <- "Nilai Bore"
title(main = "Grafik Garis dengan Nilai Bore", xlab = x_label, ylab = y_label)

Untuk menampilkan data sebagai grafik ada beberapa cara untuk melakukannya mulai dari slice plot dengan library mosaicCalc, namun kalo ini saya akan menggunakan plot bawaan dan untuk memeberikan garis bisa mengnakan abline

data_batang <- x[1:20]

barplot(data_batang, col = "blue", names.arg = 1:20, ylim = c(0, 120), ylab = "Nilai Bore", xlab = "Data Point") 

abline(h = max(data_batang), col = "red", lty = 2)
abline(h = min(data_batang), col = "green", lty = 2)