Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8900582 | Applied Mathematics and Computation | 2018 | 11 Pages |
Abstract
In this paper, we define a novel probability distribution triggered by a due date setting problem from a multi-item single level production system. As a result, we derive a recurrence relation for the underlying distribution function and, finally, we also infer the novel discrete distribution function. We underpin our analytical findings by numerical results when computing the distribution function, the expected value as well as the variance. In order to apply and translate our apparatus to other problems, we come up with an application when determining due dates for a production system with sequence-dependent setup costs.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Herbert Jodlbauer, Matthias Dehmer, Sonja Strasser,