Code No: 53230/MT

M.Tech. – II Semester Regular Examinations, September, 2

PERFORMANCE MODELLING AND ANALYSIS OF MANUFACTUSYSTEMS

(Design for Manufacturing)

Time: 3hours Max. Mark

Answer any FIVE questions All questions carry equal marks

- - - 1.a) What are the performance measures of an Automated Manufa

System Explain? b) A part undergoes five operations, as shown in Table 1,

different machines. The table gives the setup, queuprocessing times. The average inspection time, moving timwaiting time before moving add up to 10h for each operatioMLT for a batch size of 100.

Table – 1

Operation No.(i=1,2,3,4,5) 1 2 3 4 5 Setup time + queue time (h) 4 2 6 3 4 Processing time (min) 4.8 3.6 12 2.4 3

2.a) Draw the architecture of FMS and explain the function o

component in detail? b) Explain the various network topologies with sketch?

3.a) What is the superposition and decomposition of a poisson pr b) A machine produces parts in such a way that the str

finished parts is a Poisson process with rate λ =10 per h. i) What is the probability that it produces no finished part iii) What is the expected time at which the 20th finished produced? iii) What is the probability that 100 parts are produced in of 8 h, assuming that the machine works nonstop dur shift.

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Code No: 53230/MT ::2::

4.a) Define the BD process in manufacturing? Also explain the steady state analysis of BD process.

b) A job shop comprises three identical machines and a certain number n of identical repair facilities. λ and µ are, respectively, the failure rate and repair rate for each machine, where it is assumed that the time to failure and the time to repair are both exponentially distributed. What is the utilization of each machine in the following in the following cases: (1) n=1, (2) n=2, (3) n=3? What will happen if n=0?

5.a) Formulate the M/M/ ∞ queue as a Markov chain. Compute the

performance measures for this queue assuming an arrival rate of λ and a service rate of µ for each server.

b) How do you analyze the flexible machining center? 6. AGVs, conveyors and robots are typical material handling devices

in an AMS. Discuss what type of queuing models A/S/M/K/M describe their working best. Also identify the significance of the performance measures and the consequences of little’s result for these queues.

7. For the Petri net given below, develop the D and D incidence

matrices. Draw reachability graph. Comment on the performance using reachability graph.

8. Write the short notes on:

a) modeling of kanban system b) Exponential Timed petinets.

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