… a few rare exceptions we do not consider approximation algorithms, ie algorithms with proven
worst-case error bounds, polynomial-time approximation schemes (PTAS), and fully PTAS …

… how workload is balanced; determining the batch to select next also has additional
challenges, since orders within the same batch might have different due dates or priorities; etc. …

… is the priority rule-based algorithm, which contains two steps [11]: (i) assigning priorities to
customer orders; (ii) batching orders in accordance with their previously assigned priorities. …

… Because the value off, is not known robustly, we will approximate f, by qi/At;. Using this …
If a video has not been scheduled for a long period of time, its priority will grow accordingly. …

… We propose it as an approximation for priority classes; then there is one linear constraint for
… relatively nice Poisson or batch-Poisson process, while the second-priority queue has buffer …

… Finally, we show that the closely related batch cost structure used in joint replenishment …
an approximation scheme, but we show that it admits a randomized 5/3-approximation algorithm…

… In Section III, we propose the discovery approach for priority indices. Moreover, a reference
heuristic is … for ∈ and a batch cannot start before . For the priority value of a batch, we obtain …

… Because of the approximation … more priority could be assigned to orders that do have a later
due date time. The LST does not provide this priority to these orders but provides this priority …

… Each customer order is considered as a single batch and its priority … a batch is than
approximated by the largest single travel distance among the orders which are assigned to the batch. …

… each batch consists of a set of consecutively processed jobs from the same class. If a batch
… at the beginning of the first job in that batch. A schedule defines the way how the batches are …