An assembly line is made of three sequential stations. The first one takes 5 minutes, the second e takes 3 minutes and the third one takes 4 minutes to complete. If the line currently sembles 10 units every hour when fully functional, then the line's balance delay at this
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- 1. A certain batch of parts is routed through six machines in a batch production plant. The setup and operation times for each machine are given in the table below. Batch size is 200 and the average nonoperation time per machine is15 hr. Determine (a) manufacturing lead time and (b) hourly production rate for operation 4.Machine 1 2 3 4 5 6Setup time (hr) 5 3 6 4 5 3Operation time (min) 3.0 3.3 8.2 3.9 4.5 2.3 a. 6(4.3+200(3.9/60)+15) = 193.8 hours 24.2 days if 8 hour shiftb. 4(60)+200(3.9)/200 =5.1 hourly production for operation 4 2. Suppose the part in the previous problem is made in very large quantities on a production line in which an automated work handling system is used to transfer parts between machines. Transfer time between stations is 30 sec. total time required to setup the entire line is 102 hr. Assume that the operation times at the individual machines remain the same as in the previous problem, Determine (a) manufacturing lead time for a part coming off the line,…A toy factory is planning to make an additional item, which would be processed in 4 departments. The company is proposing to produce 600,000 units per year, working 250 days per year. The estimates of times made by an industrial engineer are in the table: Departments Times 1 2 3 4 Average processing time (second/part) 8 13 10 50 Average maintenance, time/day (minutes) 20 30 20 15 Average daily setup, time (minutes) 20 15 30 20 Average bookkeeping, time/day (minutes) 10 8 12 5 Machine adjustment, time/day (minutes) 15 10 15 15 Defective items, (% of production) 5 6 4 4 The parts are produced within the departments in a sequential manner (from department 1 to 2 to 3 to 4). Determine the efficiency of each departmental operation if only one shift is operated between 7:30 am-4:30 pm, with a 40 minute lunchbreak and two 10 minute coffee breaks.Tony’s Barbershop is run, owned, and operated by Anthony Jones, who has been cutting hairfor more than 20 years. Anthony does not take appointments, so the arrival pattern of customers is essentially random. Traditionally, the arrival rate had been about one customer every50 minutes. Two months ago, the local paper ran an article about Anthony that improved business substantially. Currently, the arrival rate is closer to one customer every 35 minutes. Haircutsrequire an average of 25 minutes, but the times vary considerably depending on customerneeds. A trim might require as little as 5 minutes, but a shampoo and styling could take as longas an hour or more. For this reason, the exponential distribution seems to provide a reasonablygood fit of the service time distribution.Anthony’s customers have always been patient, but ever since business picked up, somehave complained that the wait is too long. Anthony is considering taking his cousin Marvin intothe business to improve customer…
- An assembly line is to be designed to operate 71⁄2 hours per day and supply a steady demandof 300 units per day. Here are the tasks and their performance times: Performance Performance Preceding Time Preceding Time Task Tasks (Seconds) task Tasks (Seconds) a — 70 g d 60 b — 40 h e 50 c — 45 i f 15 d…For Each of the following activities, determine the maximum delay in the starting time relative to its earliest start time that will allow all the immediately succeeding activities to be scheduled anywhere between their earliest and latest completion times.a. TF = 10, FF = 10, D = 4b. TF = 10, FF = 5, D = 4c. TF = 10, FF = 0, D = 418. Integrated logistic support (ILS) is a concept developed by the military, in which all aspects of design and of support and maintenance planning are brought together, to ensure that the design and __________ system are optimized.
- The following four jobs must be processed through a three-machine flow shop.MachineJob A B C1 4 262 2 373 6 564 3 48Find the optimal sequencing of the jobs in order to minimize the makespan.What is the makespan at the optimal solution? Draw a Gantt chart illustrating yoursolution.Assume the missing dataFour trucks arrive at construction site with arrival rate of 8/hour and service rate of 16/hour. Approximately what is production index? a. 0.25 b. 0.10 c. 0.75 d. 0.90
- Consider the following tasks that must be assigned to four workers on a conveyor-paced assembly line (i.e., a machine-paced line flow). Each worker must perform at least one task. There exists unlimited demand unless stated otherwise. Time to Complete Task (seconds): Task 1: 30 Task 2: 25 Task 3: 15 Task 4: 20 Task 5: 15 Task 6: 20 Task 7: 50 Task 8: 15 Task 9: 20 Task 10: 25 Task 11: 15 Task 12: 20 The current conveyor-paced assembly-line configuration assigns the workers in the following way: • Worker 1: Tasks 1, 2, 3 • Worker 2: Tasks 4, 5, 6 • Worker 3: Tasks 7, 8, 9 • Worker 4: Tasks 10, 11, 12 What is the capacity of the current line (in units per hour)?(a) A very important component of a system has a mean time between failures of 100 hr and a mean time to repair of 10 hr. Determine the inherent availability of the system. (b) If the equipment in Q7 (c i) above is required to meet an inherent availability requirement of 0.985 and a mean time between failures of 100 hr. Calculate the permissible mean time to repair and if the system as a mean of the time intervals between corrective maintenance actions of 900 hrs and the sum of the mean corrective maintenance time intervals including supply downtime and administrative down time of 10 hrs Determine the operational availability of the systemThe annual demand for an item is 10,000 units. The unit cost is Rs. 100 and inventory carrying charges are 14.4% of the unit cost per annum. The cost of one procurement is Rs. 2000. The time between two consecutive orders to meet the above demand is _______ month