Batching policies for linearly increasing demand with a finite input rate

Article Abstract:

A modified version of the methodology used for dealing with batching methods aimed at increasing demand procedures is utilized to account for instances characterized by a finite production rate. The proposed method is not complicated and merely requires simple direct computations using numerical analysis to come up with its results. Its advantage over methods for infinite input rates, which are incidentally simpler, is greatest when the input rate is similar to the demand rate.

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Due-date assignment and single machine scheduling with compressible processing times

Article Abstract:

Two models are derived to deal with the problem of determining optimal due-date assignment and scheduling goals within the context of compressible processing times. The models likewise aim to minimize penalties for job completion done earlier than scheduled and lateness. One model uses the common due-date assignment technique while the other uses the slack due-date assignment method. The appropriate algorithm for the solution of the problem is presented.

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A tabu search heuristic for the multiprocessor scheduling problem with sequence dependent setup times

Article Abstract:

The use of a three-stage heuristic method to cope with the problem of scheduling a fixed number of jobs to parallel machines which have the same properties results in the shortening of execution time. This method performs better than current solutions such as those derived from solutions pertinent to the Traveling Salesman Problem. A tabu search method is utilized in the ultimate phase of the heuristic.

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