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Logistics Modeling

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Logistics Modelling

Assessment 1

This assessment is worth 5% of the total unit mark.

Submittal details:

1.Submit your report as a softcopy to the submission box on the unit’s Moodle webpage. The logic flow diagram in Problem 2 can be handwritten but it must be attached to the report.

2.Submit the SIMUL8 file from Problem 3 in *.S8 format to the submission box on the unit‘s Moodle webpage.

Please use your student ID number as your report filename and *.S8 filename (e.g. 351363.S8)

This is an individual assignment. Plagiarism or copying is not permitted and any offence will be dealt with under the University procedures.

Throughout this assessment please use the following constants:

u = The first two digits of your student ID number

v = The third and fourth digits of your student ID number w = The final two digits of your student ID number

(e.g. Student ID number 351363 gives u = 35, v = 13, w = 63)

Problem 1

a)Generate a sample of 5 pseudorandom numbers between 0 and 1, using the following parameters and the Linear Congruential Generator (LCG):

x0 (seed) = 5

a (multiplier) = v c (increment) = w m (modulus) = 64

[8 marks]

b)Service time (in mins) is uniformly distributed in (0,2). Use the pseudorandom numbers generated in part a) to generate the length of service for the first three customers.

[7 marks]

1

Problem 2

A bank is planning its requirements for ATMs (automated teller machines) in a new branch. There are spaces for up to six ATMs, not all of which have to be used. Three types of ATM can be purchased: general ATMs (giving cash balances, mini-statements and PIN change facilities), ATMs for paying money into accounts and ATMs that provide full

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