301 .7 (prob. 3)

# 301 .7 (prob. 3) - Labor Standards for Waiting Lines...

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Labor Standards for Waiting Lines © 2000-2003 Gary M. Thompson Use Restricted to Instructional Purposes at Cornell University lambda 39.3 Arrival Rate (units per hour) mu 15 Service Rate (units per hour) PrdStd 80 Maximum Percentage Utilization SrvStd-Avg 3 Acceptable Average Wait (minutes) SrvStd-Max 4 Maximum Waiting (Queue) Time Limit (minutes) SrvStd-% 99 Percentage of customers to serve within the target waiting time Labor Cost \$10.00 Wage rate of servers, including benefits (\$/hr) Wait Cost \$15 Cost of having a customer in the queue (\$/hr) Trans Value \$15.00 Transaction Value (\$) WalkWaitTime 15 Time at which customers leave the system (minutes) #Servers 4 # Servers Necessary, Given the Particular Labor Standard P(Wq>t) 0.07 Probability that the time in the queue exceeds t time periods rho 65.50% Server Utilization (percent of time busy) Lq 0.69 Average # in the queue Ls 3.31 Average # in the service system Wq 1.05 Average minutes spent in the queue

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Unformatted text preview: Ws 5.05 Average minutes spent in the system Cost A \$50.30 Total Economic Cost (based on Waiting Cost Method) Cost B \$41.21 Total Economic Cost (based on Walt-Wait-Time Method) #Servers 4 Using the Productivity Standard #Servers 4 Using the Service Standard (Avg Wait) #Servers 6 Using the Service Standard (Percentage within Max Wait) #Servers 4 Using the Economic Standard (Wait Cost) #Servers 4 Using the Advanced Economic Standard (Transaction Value) Assumptions 1. Single queue feeding multiple servers 2. No balking (no queue length limit) 3. All servers are equally productive 4. Exponential service times 5. Poisson arrival process 6. Infinitite calling population Labor Standard Method Productivity Standard Service Standard (Avg Wait) Economic Standard (Wait Cost) Service Standard (Max Wait) Economic Standard (Walk-Wait Time) Unprotected Cells...
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