The Pullman Mfg., Inc. three-station work cell illustrated in the figure below has two machines at station 1 in parallel. (The product needs to go through only one of the two machinesbefore proceeding to station 2.)12 min/unitStation 1Machine AStation 1Machine B12 min/unitStation 212 min/unitStation 32 min/unitThe manager, Ms. Hartley, has asked you to evaluate the system if she adds a parallel machine at station 2.a) The throughput time of the new work cell is26 minutes (enter your response as a whole number).b) The bottleneck time of the new work cell isminutes per unit (enter your response as a whole number).QM

Station 1: There are 2 stations in parallel with the same capacity.The capacity of each station 1 =…

Answered: The Pullman Mfg., Inc. three-station…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter12: Queueing Models

Section: Chapter Questions

Problem 59P

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The Pullman Mfg., Inc. three-station work cell illustrated in the figure below has two machines at station 1 in parallel. (The product needs to go through only one of the two machines before proceeding to station 2.) Q 12 min/unit Station 1 Machine A Station 1 Machine B 12 min/unit Station 2 12 min/unit Station 3 2 min/unit The manager, Ms. Hartley, has asked you to evaluate the system if she adds a parallel machine at station 2. a) The throughput time of the new work cell is minutes (enter your response as a whole number).
18. All airplane passengers at the Lake City Regional Airport must pass through a security screening area before proceeding to the boarding area. The airport has three screening sta- tions available, and the facility manager must decide how many to have open at any par- ticular time. The service rate for processing passengers at each screening station is 3 passengers per minute. On Monday morning the arrival rate is 5.4 passengers per minute. Problems 535 Assume that processing times at each screening station follow an exponential distribution and that arrivals follow a Poisson distribution. a. Suppose two of the three screening stations are open on Monday morning. Compute the operating characteristics for the screening facility. b. Because of space considerations, the facility manager's goal is to limit the average number of passengers waiting in line to 10 or fewer. Will the two-screening-station system be able to meet the manager's goal? C. What is the average time required for a…
11. Leo manages a receiving station for rice. Farmers deliver their loads of rice from 7 am to 7 pm. Leo can process them at a rate of 4.5 tons an hour, and on a heavy day, a total of 96 tons can be expected. The station has room to hold only 15 tons of rice in inventory prior to processing. Once this space is filled, the farmers’ trucks must wait to dump their contents. What is the throughput (flow) rate after 7 pm (in tons/hr)?
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Lou operates a cab service specifically tailored to provide safe and comfortable transportation for seniors in his town. He owns five cabs, each staffed by a dedicated driver. Upon receiving a service call, Lou promptly dispatches one of these drivers to pick up the customer. The operational details are as follows: • Each driver takes an average of 15 minutes to arrive at the customer's location after being dispatched. • The journey from the customer's pickup location to their destination averages 25 minutes. • Lou’s service receives an average of 2.5 calls per hour. For analytical purposes, you can assume that both the arrival of service calls (demand) and the service times have coefficients of variation (CV) equal to 1. (a) What is the average waiting time for a customer from the moment they place a service call to Lou until a cab arrives to pick them up? (For answering this question carefully think about different stages of processes, and what a customer is doing in each stage. It…
A bank has 1 enquiries staff and six tellers. Customers enter the system and walk up to the enquires counter for the enquiries queue or they go to the tellers station where they join a single queue for the 6 tellers.The arrival rate at the enquiry counter, lambda 8 customers per hour and the service rate at the enquiry counter, Mu 6 minutes per customer. The arrival rate at the tellers’stations, lambda 10 clients per hour and the service rate at the tellerstations, Mu 4 minutes per client. Find the total time customers spend at the bank
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Sunset Airlines is concerned about the level of service for its check-in procedure. Currently, a single clerk spends an average of 3 minutes per passenger checking luggage and issuing boarding passes. Passengers arrive at the rate of 15 per hour. Make all the assumptions of M/M/1 model. Submit your answers to the following questions. Show your work. (a) What is the utilization of the clerk? (b) What is the average number of passengers in service? (c) What is the average number of passengers in the waiting line? (d) What is the average waiting time in line of a passenger? (e) What is the average time spent in the system of a passenger? (f) What is the average number of passengers in the system? (g) What is the probability of having more than 2 passengers in the system? (h) What is the probability of having no passenger in the waiting line? (i) If the clerk is replaced by a self-serve ATM with a constant service time of 3 minutes, what would be the average waiting time in line of a…
The Universal Manufacturing Company produces a par-ticular product in an assembly-line operation. One of the machines on the line is a drill press that has a single as-sembly line feeding into it. A partially completed unit ar-rives at the press to be worked on every 8 minutes, on average, according to an exponential distribution. Themachine operator can process an average of 10 parts perhour (Poisson distributed). Determine the average numberof parts waiting to be worked on, the percentage of timethe operator is working, and the percentage of time themachine is idle.

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