Please provide step by step solutions for all sections of this problem. This includes section a, section b, section c, section d, section e, and section f.
The production planningand control department (PPCD at VECOMetal is going to analyze and improve a production line with two single-machine stations (i.e. A & B). As a process engineer, you are asked to consider the following cases:
Case 1: the line is almost balanced and it runs under CONWIP protocol.
The average processing time in station A was recorded 30 minutes. Over the past six months, the line has averaged 12 parts per day, where one day consists of 8-hour shift.
a) What is the WIP level in the line?
b) What is the utilization ofthis line?
c) What happens to cycle time (CT) if you double the WIP level (find the value for CT)?
|
Station
|
Arrival rate(parts/day)
|
Processing Time(Hour)
|
|
A
|
6
|
0.95
|
|
B
|
7
|
0.90
|
Case 2: PPCD made the assumption of exponential distribution for both arrival rate and processing time. PPCD also recorded new values for arrival rate and average (effective) processing time for stations A and Bas follows: Arrival rate Processing time Station parts /day) hour) 0.95 0.90
d) Determine if the parts spend more time in station A or B (in average)
e) What is the average number of jobs at station A? At station B, what happens to CT and WIP if the arrival rate (parts/hour approaches the value of process rate?