Publisher's Synopsis
Excerpt from A Multiclass Hybrid Production Center in Heavy Traffic
Figure 2 suggests that we model the demand processes of make-to-stock products by the service processes at stations 1 to d. Strictly speaking, a service process characterized by independent and identically distributed service times may not be a faithful representation of the demand process because the first inter-demand time following a period of inventory depletion (during which demands are lost) typically is not statistically similar to other inter demand intervals. Nonetheless, Nguyen (1994) noted that the difference is not significant in the sense that the two systems closely approximate each other under heavy traffic conditions (see also Iglehart and Whitt We thus proceed with our setup, in which case it will be convenient to define rm, 5 Azl, with the interpretation that mk is the mean service time at station I: for 1 k d.
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