Concept explainers
(a)
Interpretation: Considering Problem 28 of this chapter and supposing that two new machines, A and B have to be located in the shop, such that A has
Concept Introduction: When the differences between the
(b)
Interpretation: Considering Problem 28 of this chapter and supposing that two new machines, A and B has to be located in the shop, and machine A and B has
Concept Introduction: When the differences between the
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Production and Operations Analysis, Seventh Edition
- you have a store with a blue counter that on average 45 clients per hour come in, when the stores medium capacity is of 60 clients per hour. If a client stays a medium of 3 minutes in line, determine: 1. Average time of clients in the blue counter 2. Medium number of clients in line 3. Medium number of clients in the store in any given momentarrow_forwardLuck has two machines that analyze various blood samples. Recently, the demand for analyzing blood samples has increased and the lab director is planning to use linear programming to maximize the revenue for the lab. The lab gets blood samples for four types of special blood tests in the evening that must be completed the next day. The revenue from each type of special test and the time (in minutes) it takes on each machine is shown below. Revenue per test Time on Machinel Time on Machine 2 Test Type 1 $15 a. 3 minutes 5 minutes Test Type 2 $12 4 minutes 3 minutes C. What is the optimal solution? Test Type 3 $20 4 minutes 5 minutes Any machine can be used to process any type of the tests. Every day, each machine can be used for 12 hours (720 minutes). If anytime is left over in any machine, the lab can do routine tests which take 3 minutes pertest on either machine and the lab earns a revenue of $9 per test. There are usually about 200 routine tests waiting to be done which could be…arrow_forwardChris has three different workstations: one for drip coffee, one for espresso drinks, and one to prepare food. During the morning rush, Chris has 5 people working: one person at the drip coffee station, two at the espresso station, and two at the food prep station. These employees are not cross-trained, and thus must stay at their station. On average, it takes the person at the drip coffee station 1 minute to make the coffee. On average, it takes one person working at the espresso station 3 minutes to make one espresso drink. On average, it takes one person working at the food station 4.5 minutes to prepare the food for one customer. The customer mix is as follows. 10% order just a drip coffee, 30% order a drip coffee and food, 35% order just an espresso drink, and 25% order an espresso drink plus food. A total of 40 customers/ hour frequent Chris'. What is the implied utilization at the espresso station? Provide your answer in decimal form, and round to 4 decimal places. (So, if your…arrow_forward
- The Pullman Mig, 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.) 20 minunit Station 1 Machine A Station 1 Machine B 20 min/unit Station 2 6 min/unit Station 3 12 minunit The manager, Seimone Hartley, has asked you to evaluate the system if she adds a parallel machine at station 3. a) The throughput time of the new work cell is 38 minutes (enter your response as a whole number). b) The bottleneck time of the new work cell is 10 minutes per unit (enter your response as a whole number). c) If the firm operates 10 hours per day, 6 days per week, the weekly capacity of the work cell with the second machine at workstation 3 is 360 units (enter your response as a whole number). d) If the firm operates 10 hours per day, 6 days per week, the weekly capacity of the work cell without the second machine at workstation 3 is units (enter your response…arrow_forward3. The Friendly Neighbor Grocery Store has a single checkout stand with a full-time cashier. Customers arrive randomly at the stand at a mean rate of 20 per hour. The service-time distribution is exponential, with a mean of 2 minutes. This situation has resulted in occasional long lines and complaints from customers. Therefore, because there is no room for a second checkout stand, the manager is considering the alternative of hiring another person to help the cashier by bagging the groceries. This help would reduce the expected time required to process a customer to 1.5 minutes, but the distribution still would be exponential. The manager would like to have the percentage of time that there are more than two customers at the checkout stand down below 25 percent. (a) Use the formulas for the M/M/1 model to calculate L, W, W₁, Lq, Po, P₁, and P₂ for the current mode of operation. What is the probability of having more than two customers at the checkout stand? (b) Repeat part (a) for this…arrow_forwardThe 4M company has a lathe as the centerpiece of the plant's work. The jobs arrive according to a Poisson process with an average rate of 2 per day. The processing time of each job is exponentially distributed with an average of 1/ 4 day. Since the jobs are large, if they are not in process they are stored in a warehouse some distance from the machine. However, to save time in bringing them in, the production manager proposes to add space for 3 in-process jobs in addition to the one on the lathe (the rest will continue to be stored). With this proposal, what proportion of the time will the space next to the lathe be adequate for the waiting jobs? Calculate your answer using the formulas available.arrow_forward
- 9arrow_forwardThe 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 4 min/unit The manager, Seimone Hartley, has asked you to evaluate the system if she adds a parallel machine at station 3. 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). Station 3 10 min/unitarrow_forwardThe 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.) SEE PICTURE Answer Carrow_forward
- Compute the capacity (i.e. processing rate) for each of the following scenarios. Convertyour answers to parts per hour. A three-station line where the number of machines at stations 1, 2 and 3 is 2, 6, and3, respectively; and the average processing times are 10, 24 and 18 minutes,respectively.arrow_forwardA three-station line with six operators, where a part needs an operator at stations 1, 2 and 3 for and average of 10, 15 and 5 minutes, respectively. There are plenty of machines at each station, so many that we are confident none of them could be the bottleneck resource, so we don’t need to calculate any of their processing rates.arrow_forwardRideShare offers short-term rentals of vehicles that are kept in small lots in urbanneighborhoods with plenty of potential customers. With one lot, it has eight cars. Theinterarrival time of potential demand for this lot from its base of customers is 40 minutes.The average rental period is five hours. If a customer checks availability of vehicles in thislot online and finds that they are all rented for the desired time, the customer skips rentingand finds alternative arrangements. However, because customers pay a monthly fee tosubscribe to this service, RideShare does not want customers to be disappointed too often.a. What is the offered load?b. What is the implied utilization?c. What is the capacity of the process (rentals per hour)?d. What is the probability that all eight cars are rented at the same time?e. How many customers are served every hour?f. What is the utilization of the cars?g. How many cars should it have in this lot to ensure that it serves at least 90 percent ofdemand?arrow_forward
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