BU395 Chapter Notes - Chapter 18: Probability Distribution, Queueing Theory, Poisson Distribution
Document Summary
Queuing theory mathemaical approach for the analysis of waiing lines. The goal of queuing is to minimize the sum of two costs: customers waiing cost and service capacity cost. Ininite source the potenial number of customers greatly exceeds system capacity. Finite-source the number of potenial customers is limited. Poisson distribuion a one-parameter discrete probability distribuion of a number of events occurring in an interval of ime, provided that these events occur with a known average rate and independently of the ime since the last event. Exponenial distribuion the coninuous probability distribuion of the imes between events that happen coninuously and independently at a constant average rate. The average ime customers wait in line increases non-linearly as the server uilizaion increases. Queue discipline the order in which customers are served. Server uilizaion the proporion of ime a server will be busy. Average number of customers being served at any time: Model 2: single server, exponenial service duraions, finite number in system.
