A call center receives 25 callers per minute on average. On average, a caller spends1 minute on hold and 3.5 minutes talking to a service representative. On average, howmany callers are “in” the call center (meaning that they are either on hold or talking to aservice representative)?

A call center receives 25 callers per minute on average. On average, a caller spends1 minute on hold and 3.5 minutes talking to a service representative. On average, howmany callers are “in” the call center (meaning that they are either on hold or talking to aservice representative)?

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter12: Queueing Models

Section12.5: Analytic Steady-state Queueing Models

Problem 9P

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Inventory Management

The supply chain is crucial to a firm's operations as it manages the inflow and outflow of products that are manufactured from the initial stage to the end product. It also considers the raw materials needed at different stages of production and when the work is in progress. Inventory management functions consist of ordering, storing, and procuring the organization's inventory like raw materials, factors, and finished products. It's also used for controlling the number of products for trade and helps manage the organization's inventory and stock. Inventory Management has been defined as having the right inventory, of the right volume, at the right cost.

Question

A call center receives 25 callers per minute on average. On average, a caller spends
1 minute on hold and 3.5 minutes talking to a service representative. On average, how
many callers are “in” the call center (meaning that they are either on hold or talking to a
service representative)?

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