Stanford Rosenberg Computing wants to establish an assembly line for producing a

Question

Stanford Rosenberg Computing wants to establish an assembly line for producing a new? product, the Personal Digital Assistant? (PDA). The? tasks, task? times, and immediate predecessors for the tasks are as? follows:

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Do Homework-Katrina Fennell -Google Chrome-?, Secure MGMT 425 Summer II Online ? http://www.mathx com Studen PlayerHomework.aspx?homeworkid-483957290&questionid-4;&flushed; false&cid-5019866;&centerwin; yes Katrina Fennell 1 7/5/18 2:27 PM Homework: Chapter 9 - Layout Strategy Save Score: 1.67 of 5 pts 5 of 7 (7 complete) HW Score: 27.78%, 8.33 of 30 pts Problem 9.11 Question Help Stanford Rosenberg Computing wants to establish an assembly line for producing a new product, the Personal Digital Assistant (PDA). The tasks, task times, and immediate predecessors for the tasks are as follows Immediate Predecessor Task B, C Rosenberg's goal is to produce 170 PDAs per hour, a) The cycle time for the production of a PDA 21.18 seconds (round your response to two decimal places) b) The theoretical minimum number of workstations that Rosenberg can achieve in this assembly line-3 fround your response up to the next whole number). c) For one to assign the tasks to the actual workstations and be able to use the "theoretical minimum number, the actvity assignment should be Workstation # Tasks Assigned to Workstation Were you able to assign all the tasks to the theoretical minimum number of workstations? Yes Question is complete. Tap on the red indicators to see incorrect answers. Similar Question 227 PM /5/2018

Explanation / Answer

ANSWER:-

From new given data

Total tasks time or sum of all tasks times =11+14+7+5+20 = 57 sec

Output demand required per day = 170 units

Production time per hour =1* 60 min*60secs = 3600 sec

a) What is the cycle time?
Cycle time = Production time available per hour/ units required per day = 3600/ 170 = 21.1764706 = 21.18 sec

b) What is the theoretical minimum for the number of work stations that Rosenberg can achieve in this assembly line? Minimum number of workstations =Time for task/cycle time
= 57/21.18 = 2.69 ~ 3 Workstations

c) Can the theoretical minimum actually be reached when work stations are assigned?  
Assigning tasks workstations choosing the longest eligible task following precedence relationship

Workstation (1)

Here cycle time = 21.18 sec

The eligible task is A and next eligible tasks are B, C

Sum of tasks times A, B = 11+14=25 sec. It exceeds the cycle time so, task B is deselected.

Next sum of tasks times A, C = 11+7=18 sec. It reaches cycle time so, task C is selected.

Finally for workstation (1) tasks A and C are assigned.

Workstation (2)

Here cycle time = 21.18 sec

Next eligible tasks are B, D and E

Sum of tasks times B, D = 14+5 = 19 secs.it reaches cycle time.

Finally for workstation (2) tasks B and D are assigned.

Workstation (3)

Next final eligible task E = 20 sec

It reaches cycle time. So task E assigned to workstation (3).
    Workstation   task
             1 A, C
             2 B, D  
             3 E

Yes, the theoretical minimum can be reached when work stations are assigned.

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