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

Expert Solution

Please like the answer if u like


Related 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.
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...
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
Describe an “e-kanban” system. Explain it by providing an example of how you would implement it...
Describe an “e-kanban” system. Explain it by providing an example of how you would implement it and how it would work.
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.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT