Determining Bounds on Assumption Errors in Operational Analysis

Table 1

Operational analysis error measures.

Assumption	State dependent error	Overall error
Job-flow balance	𝑒𝐹(𝑛)=(𝑛+1)𝑝𝐴(𝑛)−𝑝𝐶(𝑛),𝑛∈𝐼	𝑒𝐹=∑^𝑁−1𝑛=0𝑒𝐹(𝑛)
Homogeneous service	𝑒𝑆1(𝑛)=𝑝𝐶(𝑛−1)𝑇(𝑛)𝑇−𝑇(0)−1,𝑛∈𝐼^+	𝑒^∗𝑆=∑^𝑁𝑛=1𝑛𝑝𝑐(𝑛−1)𝑒𝑆(𝑛)
Homogeneous arrival	𝑒𝐴(𝑛)=𝑝𝐴(𝑛)𝑇−𝑇(𝑁)𝑇(𝑛)−1,𝑛∈𝐼	𝑒^∗𝐴=∑^𝑁−1𝑛=1𝑒𝐴(𝑛)𝑛𝑇(𝑛)𝑇−𝑇(𝑁)