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
- 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.) 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 6 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 2 is whole number). units (enter your response as aarrow_forwardyou 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_forwardConsider a workstation that has one maintenance mechanic to repair failed machines. We can think of the mechanic as the processor (scarce resource) and the machines awaiting repair as the jobs. Let us assume that six machines are down, with estimated repair times given here, and that no new machines fail. 1 2 3 Job (fix machine #) Processing time 10 (hours) Job 1 2 3 4 5 6 2 Compute the flow time for each job using both the FCFS rule and the SPT rule, and compare the average flow times. Round your answers for average values to the nearest whole number. FCFS Rule 9 Flow Time (hours) Average flow time (FCFS rule): 4 5 6 1 8 6 hoursarrow_forward
- 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).arrow_forwardA company producing a standard line and a deluxe line of dishwashers has the following time requirements (in minutes) in departments where either model can be processed. Standard Deluxe Stamping 3 6 Motor Installation 10 10 Wiring 10 15 The standard models contribute $20 each and the deluxe $30 each to profits. Because the company produces other items that share resources used to make the dishwashers, the stamping machine is available only 30 minutes per hour, on average. The motor installation production line has 60 minutes available each hour. There are two lines for wiring, so the time availability is 90 minutes per hour. Write the formulation for this linear program. What are the optimal daily production quantities of each product and the optimal daily profit?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
- Luck 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_forwardThe 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_forwardA production line has three stations and the first station can process a unit in 10 minutes. The second station has two identical machines, each of which can process a unit in 12 minutes. The third station can process a unit in 8 minutes. What is the hourly capacity of this production line?arrow_forward
- 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.) SEE PICTURE Answer Carrow_forward8. 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.arrow_forwardA production line at V. J. Sugumaran’s machine shop has three stations. The first station can process a unit in 10 min-utes. The second station has two identical machines, each of which can process a unit in 12 minutes. (Each unit only needs to be pro-cessed on one of the two machines.) The third station can process a unit in 8 minutes. Which station is the bottleneck station?arrow_forward
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