Question
In: Mechanical Engineering
A kanban system has a rate of delivery, which equals the rate of arrival to the...
A kanban system has a rate of delivery, which equals the rate of arrival to the system, of 60 batches in a 10-hr day. Each batch contains 8 parts, and the processing time of a batch is exactly 8 minutes. The time between arrivals is known to have the exponential distribution. Compute the proportion of time the system is busy (?), the lead time, and the WIP (in terms of batches).
Solutions
samet mamat answered 2 years agoRelated Solutions
A queuing system with a Poisson arrival rate and exponential service time has a single queue,...
A queuing system with a Poisson arrival rate and exponential
service time has a single queue, two servers, an average arrival
rate of 60 customers per hour, and an average service time of 1.5
minutes per customer.
Answer the following questions. Show
ALL formulas and calculations used in your
response.
The manager is thinking of implementing additional queues to
avoid an overloaded system. What is the minimum number of
additional queues required? Explain.
How many additional servers are required to...
A queuing system with a Poisson arrival rate and exponential service time has a single queue,...
A queuing system with a Poisson arrival rate and exponential
service time has a single queue, two servers, an average arrival
rate of 60 customers per hour, and an average service time of 1.5
minutes per customer.
The manager is thinking of implementing additional queues to
avoid an overloaded system. What is the minimum number of
additional queues required? Explain.
How many additional servers are required to ensure the
utilization is less than or equal to 50%? Explain.
If the...
Customers arrive at a two-server system at a Poisson rate λ=5. An arrival finding the system...
Customers arrive at a two-server system at a Poisson rate λ=5.
An arrival finding the system empty is equally likely to enter
service with either server. An arrival finding one customer in the
system will enter service with the idle server. An arrival finding
two others will wait in line for the first free server. The
capacity of the system is 3. All service times are exponential with
rate µ=3, and once a customer is served by either server, he...
Consider an M / M / 1 queueing system with capacity N = 1, arrival rate...
Consider an M / M / 1 queueing system with capacity N = 1,
arrival rate λ = 0.2 customers per minute, and service rate µ =0.3
customers per minute. Let X(t) be the number of customers present
at time t.
a) Suppose that X(0) =0. Calculate P{X(1) = 0} and P{X(10) =
0}
b) Suppose that X(0) =1. Calculate P{X(1) = 0} and P{X(10) =
0}
c) Could you have predicted the difference between the answers
in part a,...
If the natural rate of unemployment equals 4 percent and the actual rate of unemployment equals...
If the natural rate of unemployment equals 4 percent and the
actual rate of unemployment equals 6 percent, then cyclical
unemployment equals:
Multiple Choice
−2 percent.
10 percent.
2 percent.
6 percent.
A company is trying to reduce inventory by installing a kanban system for compressors on one...
A company is trying to reduce inventory by installing a kanban
system for compressors on one of its assembly lines. The setup cost
= $10, Annual holding cost per compressor is $100, Daily production
is 200 compressors, Annual usage is 20000, The lead time is 3 days,
safety stock is 12 day’s production of compressors. Determine the
size of the kanban and the number of kanbans (containers)
needed.
Customers arrive at a two pump system at Poisson rate two per hour. An arrival finding...
Customers arrive at a two pump system at Poisson rate two per
hour. An arrival finding the system empty is equally likely to
enter service with either pump. An arrival finding one customer in
the system will enter service with the idle pump. An arrival
finding two others in the system will wait in line for the first
free pump. An arrival finding three in the system will not enter.
Two service times are exponential with rates one per hour...
A bond with a coupon rate of 7.30% has a price that today equals $868.92. The...
A bond with a coupon rate of 7.30% has a price that today equals
$868.92. The $1000 face value bond pays coupon every 6 month, 30
coupons remain, and a coupon was paid yesterday. Suppose you buy
this bond at today's price and hold it so that you receive 20
coupons. You sell the bond upon receiving the last coupon. Find the
selling price if the bond's YTM remains constant. Please show all
work and formulas without use of financial...
When the actual unemployment rate equals the natural rate of unemployment: Multiple Choice the economy has...
When the actual unemployment rate equals the natural rate of
unemployment:
Multiple Choice
the economy has no discouraged workers.
the economy is likely in a recession.
the economy is only experiencing cyclical unemployment.
the economy is at full employment.
Explain how the single card Kanban system works and outline the key benefits the adoption of...
Explain how the single card Kanban system works and outline the
key benefits the adoption of this system brings to an
organization
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