Optimal schedule requires a sequence change between machines

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Reference no: EM132102395

Consider the problem Fm||Cmax. Assume that the schedule does allow one job to pass another while they are waiting for processing on a machine.

(a) Show that there always exists an optimal schedule that does not require sequence changes between machines 1 and 2 and between machines m − 1 and m. (Hint: By contradiction. Suppose the optimal schedule requires a sequence change between machines 1 and 2. Modify the schedule in such a way that there is no sequence change and the makespan remains the same.)

Please provide a theoretical proof, not a numerical example

Reference no: EM132102395

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