(Solved):
Problem 1 Recall the job shop scheduling example from class. Now a new set of jobs arrived at Fanc ...
Problem 1 Recall the job shop scheduling example from class. Now a new set of jobs arrived at Fancy Furnishing's, with the following sequences and processing times: (a) Write down a mixed-integer linear programming optimization problem to find the processing schedule that minimizes the time at which all three jobs have finished. Be clear about what your variables represent. (b) Draw a diagram (Gantt chart) that shows which jobs are run when on which machine.
(a) The mixed-integer linear programming optimization problem to minimize the completion time for all three jobs can be formulated as follows:Decision Variables:Let xijt be a binary decision variable, where:xijt = 1, if job i starts processing on machine j at time txijt = 0, otherwiseObjective Function:Minimize the completion time of the last job, that is: