The three-station work cell at Pullman Mfg., Inc. is illustrated in the figure b parallel (i.e., the product needs to go through only one of the two machine. 20 min/unit
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- 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.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)?The following build-up diagram tracks the number of customers for a single-server queueing system (e.g., an ATM machine) from 10:00am to 10:15am on a certain day. The number of customers shown in the chart includes both those in service and waiting in line. Build-up diagram 3 2 1 # of Customers in system (in service + waiting) 0 10:00 10:01 10:02 10:03 10:04 10:07 10:09 We will call the customer who arrived the earliest during this time span the first customer, the customer who arrived the second earliest the second customer, etc.. The service discipline is first-come-first-served (FCFS). According to the diagram, what is the service time of the first customer in minutes?
- 8. A certain small grocery store has a single checkout stand with a full-time cashier. Customers arrive at the stand "randomly" (i.e., a Poisson input process) at a mean rate of 20 per hour. When there is only one customer at the stand, she is processed by the cashier alone, with an expected service time of 2 minutes. However, the stock boy has been given standard instructions that whenever there is more than one customer at the stand, he is to help the cashier by bagging the groceries. This help reduces the expected time required to process a customer to 1 minute. In both cases, the service-time distribution is exponential. (a) Construct the rate diagram for this queueing system.LaVilla is a village in the Italian Alps. Given its enormous popularity among Swiss, German, Austrian, and Italian skiers, all of its beds are always booked in the winter season and there are, on average, 1,650 skiers in the village. On average, skiers stay in LaVilla for 11 days. Instruction: Do not round your intermediate and round final answer to nearest integer. How many new skiers are arriving, on average, in LaVilla every day? skiersThe 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).
- Explain who among the Ws and Wq is larger in waiting line models ? It's an operations subject question !!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…During the early morning hours, customers arrive at a branch post office at an average rate of 45 per hour (Poisson), while clerks can handle transactions in an average time (exponential) of 4 minutes each. If clerk cost is $30 per hour and customer waiting time represents a "cost" of $20 per hour, how many clerks can be justified on a cost basis? Select one: O a. 3 O b. 6 O c. 4 O d. 5
- A waiting line meeting the assumptions of M/M/1 has average time between arrivals of 20 minutes and services items in an average of 10 minutes each; the utilization factor is approximately a. 0.25 b. 0.33 c. 0.50 d. 0.67 e. 3.0The 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.) 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 26 minutes (enter your response as a whole number). b) The bottleneck time of the new work cell is minutes per unit (enter your response as a whole number). Q MCustomers arrive at the lobby of the exclusive and expensive Ritz Hotel at the rate of 40 per hour (Poisson distributed) to check in. The hotel normally has three clerksavailable at the desk to check guests in. The average timefor a clerk to check in a guest is four minutes (exponentially distributed). Clerks at the Regency are paid $12 perhour and the hotel assigns a goodwill cost of $2 per minutefor the time a guest must wait in line. Determine if the present check-in system is cost effective; if it is not, recommend what hotel management should do