Trucks arrive at the loading dock of a wholesale grocer at the rate of 1.2 per hour. A single crewconsisting of two workers can load a truck in about 30 minutes. Crew members receive $10 perhour in wages and fringe benefits, and trucks and drivers reflect an hourly cost of $60. The manager is thinking of adding another member to the crew. The service rate would then be 2.4 trucksper hour. Assume rates are Poisson.a. Would the third crew member be economical?b. Would a fourth member be justifiable if the resulting service capacity were 2.6 trucks per hour?

Trucks arrive at the loading dock of a wholesale grocer at the rate of 1.2 per hour. A single crewconsisting of two workers can load a truck in about 30 minutes. Crew members receive $10 perhour in wages and fringe benefits, and trucks and drivers reflect an hourly cost of $60. The manager is thinking of adding another member to the crew. The service rate would then be 2.4 trucksper hour. Assume rates are Poisson.a. Would the third crew member be economical?b. Would a fourth member be justifiable if the resulting service capacity were 2.6 trucks per hour?

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter12: Queueing Models

Section12.4: Important Queueing Relationships

Problem 6P

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