MacBurger’s is attempting to determine how manyservers (or lines) should be available during the breakfastshift. During each hour, an average of 100 customers arriveat the restaurant. Each line or server can handle an averageof 50 customers per hour. A server costs $5 per hour, andthe cost of a customer waiting in line for 1 hour is $20.Assuming that an M/M/s/GD/∞/∞ model is applicable,determine the number of lines that minimizes the sum ofdelay and service costs.

MacBurger’s is attempting to determine how manyservers (or lines) should be available during the breakfastshift. During each hour, an average of 100 customers arriveat the restaurant. Each line or server can handle an averageof 50 customers per hour. A server costs $5 per hour, andthe cost of a customer waiting in line for 1 hour is $20.Assuming that an M/M/s/GD/∞/∞ model is applicable,determine the number of lines that minimizes the sum ofdelay and service costs.

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter5: Network Models

Section: Chapter Questions

Problem 71P

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