Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A note on Tempelmeier's {\beta}-service measure under non-stationary
  stochastic demand   Tempelmeier (2007) considers the problem of computing replenishment cycle
policy parameters under non-stationary stochastic demand and service level
constraints. He analyses two possible service level measures: the minimum no
stock-out probability per period ({\alpha}-service level) and the so called
"fill rate", that is the fraction of demand satisfied immediately from stock on
hand ({\beta}-service level). For each of these possible measures, he presents
a mixed integer programming (MIP) model to determine the optimal replenishment
cycles and corresponding order-up-to levels minimizing the expected total setup
and holding costs. His approach is essentially based on imposing service level
dependent lower bounds on cycle order-up-to levels. In this note, we argue that
Tempelmeier's strategy, in the {\beta}-service level case, while being an
interesting option for practitioners, does not comply with the standard
definition of "fill rate". By means of a simple numerical example we
demonstrate that, as a consequence, his formulation might yield sub-optimal
policies.

15
The categories of this paper are: nucl-ex
9
The categories of this paper are: nlin
11
The categories of this paper are: hep-lat
33
The categories of this paper are: plasm-ph
0
The categories of this paper are: hep-ph
5
The categories of this paper are: gr-qc
26
The categories of this paper are: bayes-an
4
The categories of this paper are: cond-mat
24
The categories of this paper are: dg-ga
28
The categories of this paper are: alg-geom
7
The categories of this paper are: hep-th
13
The categories of this paper are: quant-ph
35
The categories of this paper are: mtrl-th
27
The categories of this paper are: comp-gas
34
The categories of this paper are: chem-ph
20
The categories of this paper are: acc-phys