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:

Upward Appeals

A tactic in which an individual attempts to influence a decision or receive support by appealing to higher-level superiors or authorities.

Rational Appeals

a method of persuasion that uses logical arguments and concrete evidence to convince people rather than emotions or credibility.

Assertiveness

The quality of being self-assured and confident without being aggressive, enabling clear and effective communication.

Information Control

Managing access to, the distribution of, or the ability to manipulate information.