A Concise Examination of Delay Duration Profiles and Their Implementations

Waiting in lines are experienced in our daily activities. Waiting in line or queue causes inconvenience to individuals and economic costs to firms and organizations. Individuals wait for minutes, hours, days or months to receive service waiting before, during or after being served. Queueing Theory is a mathematical approach to the study of waiting in lines. It is useful in crowd safety management, turnstile design, entry and exit systems, concession planning and crowd flow assessment, venue ticket sales, queueing race design and transport loading (to and from a venue), density and emergency egress analysis, traffic control and planning, determining the sequence of computer operations, predicting computer performance, telecommunications, health services (eg. control of hospital bed assignments), airport traffic, airline ticket sales, the mining industry, layout of manufacturing systems, capacity planning for busses and trains and many more (Mitra & Mitrani 1991). Numerous examples of this type are of everyday occurrence.