please solve all parts within 30 minutes. 3.Consider the problem of assigning multiple identical machines to anindividual operator for the following situations: the loading and unloading time is 5minutes, the independent operator activity time is 2 minutes, the independent machineactivity time is 15 minutes. (a) How many machines should be assigned so that theoperator will not be idle? What is the machine idle time in this case? (b) How manymachines should be assigned so that machines will not be idle? What is the operator idletime in this case?

Ideal assignment n = a+ta+b Here, a = Concurrent activity time (Basically loading and unloading…

Answered: Consider the problem of assigning…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter12: Queueing Models

Section: Chapter Questions

Problem 52P

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Consider the problem of assigning multiple jdentical machines to an individual operator for the following situations: the loading and unloading time is 5 minutes, the independent operator activity time is 2 minutes, the independent machine activity time is 15 minutes. (a) How many machines should be assigned so that the operator will not be idle? What is the machine idle time in this case? (b) How many machines should be assigned so that machines will not be idle? What is the operator idle time in this case?
Consider a business process in which each order that arrives is split into two jobs that are performed in parallel and are then rejoined before leaving the system. Assume no variance in inter-arrival times nor in process times for each task. Each station (depicted by a rectangle) contains one or more identical parallel servers (depicted by circles). Each server is independent of all others and can work on one job at at a time. Process times for individual servers at station A are 5 minutes. Servers at stations B and C have process times of 3 and 6 minutes respectively. Consider the system with one server at each of the stations A and B as before, and two identical parallel servers (each with a 6 minute process time) at station C. What is the system's capacity? What is the cycle time for each order through the entire process flow?
In a furniture manufacturing facility, there is a drilling shop with semi-automated machines. For an operator, it takes 20 seconds for a worker to move from one machine to the other. To load a drilling job to the machines a worker spends 3 minutes. Once loaded machines finish the drilling job in 4 minutes. The worker spends 40 seconds to conduct a quality check for the finished parts. If two machines are allocated to a worker which of the following will be true? Machines will have idle time Neither machines nor the worker will have idle time The worker and the machines both will have idle time Worker will have idle time
A store open 24 hours per day is interested in determining store traffic. They found that customers arrive uniformly at the rate of 10 customers per hour. The store has a single worker to process customers. The worker takes an average of 5 minutes to process a customer. If we assume that every customer must be processed, what is the average number of customers in the store? For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac). 10pt A Is ... BIUS Paragraph Open Sans,s.. E = = E E. E x2 X2

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