Integral Logistics Management — Operations Management and Supply Chain Management Within and Across Companies

13.2.2c Queuing Theory: Relevant Formulas for the Average Case

Intended learning outcomes: Produce a summary of relevant formulas in queuing theory for the average case.

Continuation from previous subsection (13.2.2b)

Figure presents the relevant formulas of queuing theory for the average case, with references to their original sources in the literature, specifically [GrHa18], [Coop90], and [LyMi94], including page and formula numbers. For further aspects of theoretical mathematics, the reader can consult [Fers64] and [Alba77]. It is important to note, however, that for multiple-station models (s = arbitrary), the relationships based on numerical calculation only approach validity under conditions of extensive capacity utilization.

Fig.       Summary of relevant formulas in queuing theory.

Figure shows wait time as a function of operation time for selected values of s and CV(OT).

Fig.       Average relative wait time as a function of capacity utilization: selected values (following an unpublished slide of Prof. Büchel, ETH Zurich).

Course section 13.2: Subsections and their intended learning outcomes