The due dates are: 10, 12, 15, 18, 20.
This is just a sample content and you can add or remove sections according to your needs. The due dates are: 10, 12, 15, 18, 20
2.3. : * Sort the jobs in increasing order of due date. * Schedule each job on the first available machine. : * Sort the jobs in increasing order of due date
1.2. : * Define the decision variables: $x_ij = 1$ if job $j$ is scheduled on machine $i$, and $0$ otherwise. * Define the objective function: Minimize $\max_j (C_j - d_j)$, where $C_j$ is the completion time of job $j$ and $d_j$ is the due date of job $j$. * Define the constraints: + Each job can only be scheduled on one machine: $\sum_i x_ij = 1$ for all $j$. + Each machine can only process one job at a time: $\sum_j x_ij \leq 1$ for all $i$. + The completion time of job $j$ is the sum of the processing times of all jobs scheduled on the same machine: $C_j = \sum_i p_ij x_ij$. : * Define the decision variables: $x_ij =
4.1. : * Jobs have random processing times. * Goal: Schedule the jobs on the machines to minimize the expected makespan.
2.2. : * Sort the jobs in increasing order of processing time. * Schedule each job on the first available machine.