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BUAD 311T
Solutions to Process Analysis Practice Problems
1.
Process Flow Diagrams
A.Making Hamburgers
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2. Example 1
.
Consider a singlestage production process shown below. The
customers that arrive require five minutes of processing time each.
Arrivals
Departures
Process time = 5 minutes per customer
CT = 5 minutes per customer
Processing Rate= 1/CT = (1/5) customers per minute =(1/5)*60 customers/hour =12
cust/hr
MLT (or TPT)
= 5 minutes
3. Example 2
. Consider a twostep process shown below. A unit
must
go through
both steps for completion. (For example, Step 1 could be taking order from the
customer and Step 2 could be filling the order and delivering to the customer.) Step 1
requires 10 min/unit and Step 2 takes 8 min/unit.
CT for step 1 = 10 mins/unit
⇒
Processing Rate= (1/10) units/min =(1/10)*60 = 6
units/hr
CT for step 2 =
8 mins/unit
⇒
Processing Rate=(1/8) units/min = (1/8)*60 = 7.5
units/hr
System Processing Rate= Min{6, 7.5} = 6 units/per
⇒
System CT=10 mins/unit
Bottleneck is Step 1
Minimum MLT =
10 +8 =18 mins
4. Example 3
.
Processing Rate=Min {12,7.5} = 7.5 units/hr
Minimum MLT = 10 + 8 = 18 mins
5 min./unit
8 min/unit
10 min./unit
10 mins/unit
10 mins/unit
8 mins/unit
Rate=6 units/hr
Rate=6 units/hr
Rate=12 units/hr
Rate=7.5 units/hr
5. CJA Chapter 5 page 176, Problem 7
a.
Take Order = 100 per hour * 12 hours = 1200
Pick Order = 80 per hour * 24 hours = 1920
Pack Order = 60 per hour * 24 hours = 1440
Bottleneck=Min(1200,1920,1440) = 1200
Î
Take Orders
Maximum output is determined by order taking (1200) since the pick and pack
operations can work up to 24 hours to clear out their order backlog.
b.
If we take the maximum of 1200 orders then:
Pick Order = 1200 orders/80 per hour = 15 hours
Pack Order = 1200 orders/60 per hour = 20 hours
c.
Orders can be taken at a rate of 100/hours and can be picked at the rate of 80/hour so
they build at the rate of 20/hour.
Orders are taken for 12 hours.
Maximum orders waiting for picking = 20/hour * 12 hours = 240
d.
Orders can be picked at a rate of 80/hours and can be packed at the rate of 60/hour so
they build at the rate of 20/hour.
Orders are picked for 15 hours.
Maximum orders waiting for packing= 20/hour * 15 hours =
300
e.
(b. revisited) If we take the maximum of 1200 orders then:
Pick Order = 1200 orders/80 per hour = 15 hours
Pack Order = 1200 orders/120 per hour = 10 hours
However, Packing has to wait for the orders to be picked so it would be 15 hours
(c. revisited) This answer does not change.
Orders can be taken at a rate of 100/hours and can be picked at the rate of 80/hour so
they build at the rate of 20/hour.
Orders are taken for 12 hours.
Maximum orders waiting for picking = 20/hour * 12 hours = 240
(d. revisited)
Orders can be picked at a rate of 80/hours and can be packed at the rate of 120/hour so
they build at the rate of 0/hour.
Orders are picked for 15 hours.
Maximum orders waiting for packing= 0/hour * 15 hours =
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This note was uploaded on 07/21/2009 for the course BUAD 311T taught by Professor Vaitsos during the Fall '07 term at USC.
 Fall '07
 Vaitsos
 Accounting, Management

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