$4.$ I need the matlab code please: A computer system has ND disks on which NF files need to be stored. The capacity of disk $\backslash ($ i $\backslash )$ is $\backslash ($ C$\_\{$i$\}\backslash )$ bytes, the size of file $\backslash ($ j $\backslash )$ is $\backslash ($ S$\_\{$j$\}\backslash ),$ the arrival rate of requests to file $\backslash ($ j $\backslash )$ is lambda, and the average service time of a request to file $\backslash ($ j $\backslash )$ when it is stored on disk $\backslash ($ i $\backslash )$ is $\backslash ($ s$\_\{$i$,$ j$\}\backslash ).$ Assume ND $=2.$ Find the optimal allocation of files to disks that minimizes the difference in utilization between the two disks. See details below.

Disc Capacity $($GB$)$

$130$

$235$

Problem notes: Store each of the $5$ files on the $2$ discs. Objective: allocate the files properly to "minimize the difference in utilization" between the two discs. What does this mean? We need to define the objective function.... How do you define it$?$ This is the major part of the problem.

Use the genetic algorithm approach, if you can. Can also evaluate a number of different combinations in MATLAB.

Lambda $*$ service time $=$ total amount of time required for disc operation for that file.

minimize difference in time of utilization between the two discs

Question: Can any file be stored on both discs to give an advantage? $($given lamda for each disc$)$

Approach: Simulate disc utilization for $1$ second to determine operation time for each disc. $(1$ sec$)*$lambda$*$service time $[=]$ seconds of operation