Consider a Single-Line, Single-Server Waiting Line System

question 91

Short Answer

Consider a single-line, single-server waiting line system. Suppose that customers arrive according to a Poisson distribution at an average rate of 100 per hour. The manager does not want customers to be in the system for longer than 12 minutes. How fast does the average (exponentially distributed) service time need to be in minutes in order to keep the manager satisfied?

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Definitions:

Behaviour Origin

The source or cause of an individual's actions, often examined in psychology to understand motivations and personality.

Equity Theory

A theory in social psychology that explains how people strive for fairness and justice in social exchanges or give-and-take relationships, balancing the input they provide with the outcomes they receive.

Job Input

Refers to the various contributions, such as skills, effort, and time, that an employee provides to their job role or task.

Evaluative Tendency

A cognitive bias or predisposition towards assessing or judging situations, individuals, or objects in a particular way.