Section 3 Answer questions $15-24$ based on the above described maintenance scheduling problem Based on the example given in the lecture, it is desired to schedule the maintenance of 7 power generation plants in 4 equal intervals such that the maximum net energy reserve is obtained in any maintenance interval. The table below show the capacity and number of intervals needed to maintain each plant.|| \begin{tabular} {CCICI) \hline Umit mmber & Umir capacity: MWW & Number of internals requirm for umit maintenance \hline 1 & 20 & 2 W 2 & 15 & 2 1 3 & 35 & 1 4 & 40 &111 5 & 15 & 11 6 & 15 & 11 7 & 10 & 1 \hline \end{tabular) The problem constraints are: - The maximum loads expected during four intervals are 80, 90, 65 and $70 \mathrm{MW};$ respectively. - Maintenance of any unit starts at the beginning of an interval and finishes at the end of the same or adjacent interval. The maintenance cannot be aborted or finished earlier than scheduled - The net reserve is the fitness function and must be greater or equal to zero at any interval - Assume that the crossover probability pc equals $0.7$, the mutation probability pm equals $0.01$, and the initial population $\mathrm{N}=4$ and as shown below. \begin{tabular}{1|1|1|1|1|1|1|113 Whline Chromosome 1 & 0110 & 0011 & 0001 & 1000 & 0100 & 0010 & 1000 V cline (2 - 8 } Chromosome 2 & 0110 & 0011 & 0001 & 1000 & 0100 & 2010 & 0100 W \cline { 2 - 8 ] Chromosome 3 & 0110 & 0011 & 0001 & 1000 & 0100 & 0010 & 0010 W \cline (2 - 8} Chromosome 4 4 & 0110 & 0011 & 0001 & 1000 & 0100 & 0010 & 0001 \cline