A) A crew of mechanics at the Highway Department Garage repair vehicles that break down at an average of λ = 7.5 vehicles per day (approximately Poisson in nature). The mechanic crew can service an average of μ = 12 vehicles per day with a repair time distribution that approximates a negative exponential distribution. (a)        What is the utilization rate for this service system?  (b)        What is the average time before the facility can return a breakdown to service? (c)        How much of that time is spent waiting for service?

4 SCM

1. Summarize the service failures associated with this experience. 2. What might the travel agency do to improve its customers’ service experience?

I have no idea, please help me! 1. Assume that the arrival rate is increased to 1 customer per minute and that the service rate is increased to 1.25 customers per minute. Compute the following operating characteristics for the new system: P0, Lq, L, Wq , W, and Pw. Does this system provide better, or poorer service compared to the original system? Discuss any differences and the reason for these differences.

In an M/M/1 queueing system, the arrival rate is 5 customers per hour and the service rate is 7 customers per hour. If the service process is automated (resulting in no variation in service times but the same service rate), what will be the resulting performance measurements? (Round all answers to three decimals.)  What is the utilization? What is the expected number of customers in the system (L)? What is the expected waiting time (in hours) for the system (W)? What is the expected number of customers in the queue (Lq)? What is the expected waiting time (in hours) in the queue (Wq)?

Pasquist Water Company (PWC) operates a 24-hour facil-ity designed to efficiently fill water-hauling tanker trucks.Trucks arrive randomly to the facility and wait in line to ac-cess a wellhead pump. Since trucks vary in size and the filling operation is manually performed by the truck driver, the timeto fill a truck is also random.a. If the manager of PWC uses the multiple-server modelto calculate the operating characteristics of the facility’swaiting line, list three assumptions she must make regard-ing the behavior of waiting trucks and the truck arrivalprocess.b. Suppose an average of 336 trucks arrive each day, thereare four wellhead pumps, and each pump can serve anaverage of four trucks per hour.▪ What is the probability that exactly 10 trucks will arrivebetween 1:00 p.m. and 2:00 p.m. on any given day?▪ How likely is it that once a truck is in position at a well-head, the filling time will be less than 15 minutes?c. Contrast and comment on the performance differencesbetween:▪…

do parts A,B,C,D for me

Explore the concept of self-healing systems and their relevance in minimizing downtime and optimizing system performance.

A mechanic at the Department of Maintenance makes minor repairs to faulty golf electric carts. The carts break down at an average rate of 4 carts per day and breakdowns are distributed according to the Poisson distribution. The mechanic can service an average of 6 carts per day with a repair time distribution that approximates a negative exponential distribution. Assume an 8 hour day. a- What is the utilization rate for the mechanic?  b- What is the average time in hours that a cart is out of service?

19-33 Waiting times, manufacturing cycle times. The IVplast Corporation uses an injection molding ma- chine to make a plastic product, Z39, after receiving firm orders from its customers. IVplast estimates that it will receive 40 orders for Z39 during the coming year. Each order of Z39 will take 120 hours of machine time. The annual machine capacity is 6,800 hours. 1. Calculate (a) the average amount of time that an order for Z39 will wait in line before it is processed and (b) the average manufacturing cycle time per order for Z39.