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IE455 - Lecture 6

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Material
Handling and
Packaging
IE-455
DR. DEEMA M. ALJUHANI
LECTURE #06
Prepared by: DR ATIF SHAHZAD
Edited by: DR DEEMA ALJUHANI
Recap
Material Handling
equipment Taxonomy
Today
➒ From-to Chart
From-to Chart
A table that can be used to indicate material flow data and/or distances between multiple
locations
From-to Chart
Flow rates and distances between five workstations in a manufacturing system.
β—¦ The left-hand vertical column lists the origination points (loading stations), while the horizontal row at the
top identifies the destination locations (unloading stations).
Network diagram
From-to Chart
Mathematical equations can be developed to describe the operation of vehicle-based material
transport systems
It is assumed that the vehicle moves at a constant velocity throughout its operation and that
effects of acceleration, deceleration, and other speed differences are ignored
From-to Chart
The time for a typical delivery cycle in the
operation of a vehicle-based transport
system consists of :
Loading at the
pickup station,
Travel time to
the drop-off
station,
Unloading at
the drop-off
station, and
Empty travel
time of the
vehicle
between
deliveries.
From-to Chart
𝑇𝐢 = delivery cycle time, min/del;
𝑇𝐿 = time to load at load station, min;
𝐿𝑑 = distance the vehicle travels between load
and unload station, m (ft);
𝑣𝐢 = carrier velocity, m/min (ft/min);
π‘‡π‘ˆ = time to unload at unload station, min;
𝐿𝑒 = distance the vehicle travels empty until the
start of the next delivery cycle, m (ft).
Loading at the
pickup
station,
Travel time to
the drop-off
station,
Unloading at
the drop-off
station, and
Empty travel
time of the
vehicle
between
deliveries.
Delivery cycle time
The delivery cycle time
𝑇𝐢 can be used to determine two values of interest in a vehicle-based
transport system:
Rate of deliveries per vehicle
Number of vehicles required to satisfy a specified total delivery requirement
Hourly rate of deliveries
The hourly rate of deliveries per vehicle is 60 min divided by the
delivery cycle time 𝑇𝐢
Adjusting for any time losses during the hour
Possible time losses
β—¦ The possible time losses include
Availability
Traffic
congestion
Efficiency
of manual
drivers in the
case of manually
operated trucks
Availability
The Availability ( A ) is defined as the proportion of total shift time
that the vehicle is operational and not broken down or being
repaired
Traffic congestion
Traffic factor 𝐹𝑑 is defined as a parameter for estimating the effect
of losses on system performance
Sources of inefficiency accounted for by the traffic factor
include:
• Waiting at intersections
• Blocking of vehicles (as in an AGVS)
• Waiting in a queue at load/unload stations
Traffic congestion
If these situations do not occur, then 𝐹𝑑 = 1.0
As blocking increases, the value of 𝐹𝑑 decreases
𝐹𝑑 is affected by the number of vehicles in the system relative to the size of the layout
If there is only one vehicle in the system, no blocking should occur, and the traffic factor
will be 1.0
β—¦ For systems with many vehicles, there will be more instances of blocking and congestion,
and the traffic factor will take a lower value
β—¦ Typical values of traffic factor for an AGVS range between 0.85 and 1.0
β—¦
β—¦
β—¦
β—¦
Worker efficiency
Worker efficiency is defined as the actual work rate of the human
operator relative to the work rate expected under standard or
normal performance
Let 𝐸𝑀 symbolize worker efficiency
Available time per hour
The available time per hour per vehicle can now be expressed as 60 min adjusted by 𝐴, 𝐹𝑑 , and πΈπ‘Š . That is,
𝐴𝑇 = 60𝐴𝐹𝑑 πΈπ‘Š
Rate of deliveries per vehicle
𝑅_𝑑𝑣 is the hourly delivery rate per vehicle, deliveries/hr per vehicle;
Tc = delivery cycle time min/del
AT = the available time in 1 hour, adjusted for time losses, min/hr
𝑅𝑑𝑣
𝐴𝑇
=
𝑇𝑐
Workload
Workload is defined as the total amount of work, expressed in terms of time, that must be
accomplished by the material transport system in 1 hr
π‘ŠπΏ = 𝑅𝑓 𝑇𝑐
WL = workload, min/hr; Rf = specified flow rate of total deliveries per hour for the system,
deliveries/hr; and Tc = delivery cycle time, min/del
Specified flow rate of total deliveries per hour
The total number of vehicles needed to satisfy a specified total delivery schedule 𝑅𝑓 in the system
can be estimated by:
β—¦ Calculating the total workload required
β—¦ Dividing by the available time per vehicle
Number of vehicles
Now the number of vehicles required to accomplish this workload can be written as
π‘ŠπΏ
𝑛𝑐 =
𝐴𝑇
nc = number of carriers (vehicles) required, WL = workload, min/hr; and AT = available time per vehicle,
min/hr per vehicle
Thank you
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