Optimasi

Dosen Pengampu : Prof . Dr. Suhartono, M.Kom

Lembaga : Universitas Islam Negeri Maulana Malik Ibrahim Malang

Fakultas : Sains dan Teknologi

Jurusan : Teknik Informatika

Kelas : (C) Kalkulus

NIM : 230605110078

Pengertian Optimasi

Optimasi adalah mencari masukkan untuk menghasilkan sebuah keluaran terbesar. Masalah optimasi terdiri dari fase pemodelan dan fase solusi. Penyelesaian masalah menggunakan Optimasi Grafis dengan cara membaca masukan yang menghasilkan nilai di puncak tersebut. Optimasi Numerik Terkait fungsi, maksimalisasi adalah proses menemukan masukan ke fungsi yang menghasilkan keluaran lebih besar daripada masukan terdekat lainnya.

# import the library
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

library(ggplot2)

Optimasi Numerik

h <- rfun(~ x, seed=7293)
argM(h(x) ~ x, bounds(x=-5:5))

## # A tibble: 2 × 3
##        x .output. concavity
##    <dbl>    <dbl>     <dbl>
## 1 -1.68      1.93         1
## 2  0.173     8.25        -1

slice_plot(h(x) ~ x, bounds(x=-5:5)) %>%
  gf_vline(xintercept = ~ max(x-4.83), color="blue") %>%
  gf_vline(xintercept = ~ min((-1.6849162*2)), color="green")

DAFTAR PUSTAKA

[1] Daniel Kaplan, Kalkulus Mozaik,(Online) https://dtkaplan.github.io/MC2/Modeling/06-operations.html diakses pada 1 Desember 2023 Pukul 00:50 WIB