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ANALYSIS OF RECIRCULATING
CONVEYERS USING KWO’S THREE
PRINCIPLES
RECIRCULATING CONVEYORS
 These are Continuous loop conveyors can be used
for storage, if loaded carries are allowed to flow
back on the return leg raising the following
possibilities:
Empty carriers are not available when needed for
loading
Full carriers are not immediately available for
unloading
CONTINUOUS LOOP CONVEYORS
Consider a continuous closed-loop conveyor, such as
 An overhead trolley system with one load
one unload station.
 Assume that all carriers are emptied at the unload station.
Return leg
Le
Delivery leg Ld
Empty carrier
Load
station
Unload
station
np
Full
carrier
CONTD.
nc = number of carriers in the
system
Ld = length of the delivery leg (m)
Le = length of the return leg (m)
sc = carriers spacing (m/carrier)
Td = deliverytime(min/carrier)
Ld = conveying distance between
load and unload stations (m)
Np = total number of parts in the
system
np = number of parts in each
carrier
Rf = part feed rate (parts/min)
vc = conveyor speed (m/min)
TL= loading time(min/carrier)
TU= unloading time(min/carrier)
c
ed
c
s
LL
n
ed
dcp
c
dp
p
LL
Lnn
s
Ln
N
L
p
c
cp
f
T
n
s
vn
R
c
d
d
v
L
T
L
p
c
cp
Lf
T
n
s
vn
RR
TU < TL
CONVEYOR ANALYSIS (KWO’S PRINCIPLE)
 Kwo’s recirculating conveyor design requirements with ONE
load station and ONE unload station. Three rules
 Speed rule: Operating speed within a certain limit determined
by #carriers/min (vc/ sc ). The lower limit should be greater
than or equal the required loading or unloading rate
whichever is the greater.
c
cp
LU
s
vn
, RMax R parts/min
The upper limit should be less or equal to the capabilities of
the material handlers.
c
c
s
v
<Min 1
TL TU
1
,
min/carrier
• Capacity constraint: The flow rate capacity of the conveyor
must be at least equal to the flow rate requirement to
accommodate reserve stock and allow for the time elapsed
between loading and unloading due to delivery distance.
c
cp
fs
vn
R
•Uniformity Principle: Empty and full carriers should be
uniformly distributed along the line to avoid excessive waiting
for carriers.
CONVEYOR ANALYSIS: EXAMPLE
 A recirculation conveyor has a total length of 300m. Its
speed is 60m/min, and the spacing of part carriers along
its length is 12m. Each carrier can hold 2 parts. The time
required to load 2 parts into each carrier is 0.20min and
the unload time is the same. The required loading and
unloading rates are both defined by the specified flow
rate, which is 4parts/min. Evaluate the conveyor system
design with respect to Kwo’s three principle.
 Specified flow rate , Rf = 4 parts/min
 Conveyor speed, vc = 60m/min
 Spacing of carriers, Sc =12m
 Number of parts per carrier, np = 2 parts
 Loading TL = Unloading TU = 0.2 min/carrier
CONTD.
 Solution: 1) Speed Rule The lower limit on speed is set by the
required loading and unloading rates, which is 4 part/min.
Checking this by
c
cp
LU
s
vn
, RMax R
c
c
s
v
<Min 1
TL TU
1
,
12 m/carrier
(2 part/carrier)
=10 parts/min >4 parts/min
(60 m/min)
Checking the lower limit
CONTD.
12 m/carrier
60 m/min 1
0.2 0.2
1
,
= 5 carrier/min <Min
=Min {5,5} = 5
• 2.Capacity Constraint: Conveyer flow rate capacity =
10parts/min as computed above since this is substantially
greater than the required delivery rate of 4 parts/min, the
capacity constraint is satisfied. KWO provides guidelines for
determining the flow rate requirement that should be
compare to be conveyer capacity.
CONTD.
• 3.Uniformity Principle : The conveyor is assumed to be
uniformly loaded throughout its length, since the
loading and unloading rates equal and the flow rate
capacity is substantially greater than the load/unload
rate.
THANK YOU

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KWO 3 Principle

  • 1. ANALYSIS OF RECIRCULATING CONVEYERS USING KWO’S THREE PRINCIPLES
  • 2. RECIRCULATING CONVEYORS  These are Continuous loop conveyors can be used for storage, if loaded carries are allowed to flow back on the return leg raising the following possibilities: Empty carriers are not available when needed for loading Full carriers are not immediately available for unloading
  • 3. CONTINUOUS LOOP CONVEYORS Consider a continuous closed-loop conveyor, such as  An overhead trolley system with one load one unload station.  Assume that all carriers are emptied at the unload station. Return leg Le Delivery leg Ld Empty carrier Load station Unload station np Full carrier
  • 4. CONTD. nc = number of carriers in the system Ld = length of the delivery leg (m) Le = length of the return leg (m) sc = carriers spacing (m/carrier) Td = deliverytime(min/carrier) Ld = conveying distance between load and unload stations (m) Np = total number of parts in the system np = number of parts in each carrier Rf = part feed rate (parts/min) vc = conveyor speed (m/min) TL= loading time(min/carrier) TU= unloading time(min/carrier) c ed c s LL n ed dcp c dp p LL Lnn s Ln N L p c cp f T n s vn R c d d v L T L p c cp Lf T n s vn RR TU < TL
  • 5. CONVEYOR ANALYSIS (KWO’S PRINCIPLE)  Kwo’s recirculating conveyor design requirements with ONE load station and ONE unload station. Three rules  Speed rule: Operating speed within a certain limit determined by #carriers/min (vc/ sc ). The lower limit should be greater than or equal the required loading or unloading rate whichever is the greater. c cp LU s vn , RMax R parts/min
  • 6. The upper limit should be less or equal to the capabilities of the material handlers. c c s v <Min 1 TL TU 1 , min/carrier • Capacity constraint: The flow rate capacity of the conveyor must be at least equal to the flow rate requirement to accommodate reserve stock and allow for the time elapsed between loading and unloading due to delivery distance. c cp fs vn R •Uniformity Principle: Empty and full carriers should be uniformly distributed along the line to avoid excessive waiting for carriers.
  • 7. CONVEYOR ANALYSIS: EXAMPLE  A recirculation conveyor has a total length of 300m. Its speed is 60m/min, and the spacing of part carriers along its length is 12m. Each carrier can hold 2 parts. The time required to load 2 parts into each carrier is 0.20min and the unload time is the same. The required loading and unloading rates are both defined by the specified flow rate, which is 4parts/min. Evaluate the conveyor system design with respect to Kwo’s three principle.  Specified flow rate , Rf = 4 parts/min  Conveyor speed, vc = 60m/min  Spacing of carriers, Sc =12m  Number of parts per carrier, np = 2 parts  Loading TL = Unloading TU = 0.2 min/carrier
  • 8. CONTD.  Solution: 1) Speed Rule The lower limit on speed is set by the required loading and unloading rates, which is 4 part/min. Checking this by c cp LU s vn , RMax R c c s v <Min 1 TL TU 1 , 12 m/carrier (2 part/carrier) =10 parts/min >4 parts/min (60 m/min) Checking the lower limit
  • 9. CONTD. 12 m/carrier 60 m/min 1 0.2 0.2 1 , = 5 carrier/min <Min =Min {5,5} = 5 • 2.Capacity Constraint: Conveyer flow rate capacity = 10parts/min as computed above since this is substantially greater than the required delivery rate of 4 parts/min, the capacity constraint is satisfied. KWO provides guidelines for determining the flow rate requirement that should be compare to be conveyer capacity.
  • 10. CONTD. • 3.Uniformity Principle : The conveyor is assumed to be uniformly loaded throughout its length, since the loading and unloading rates equal and the flow rate capacity is substantially greater than the load/unload rate.