# Operations Research and Reliability (ISS (Statistical Services) Statistics Paper IV): Questions 1 - 3 of 3

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## Question number: 1

» Operations Research and Reliability » Queuing Models » M/M/1 Model

Appeared in Year: 2015

### Describe in Detail

(d) Show that for M/M/1/∞ queue model

where λ_{n} and µ_{n} are the means of Poisson and exponential distributions respectively where there are n people in the system.

### Explanation

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## Question number: 2

» Operations Research and Reliability » Finding Solutions in 22, 2xm and Mxn Games

Appeared in Year: 2015

### Describe in Detail

Prove that the number of basic variables is a balanced transportation problem is at most , where m is the number of origins and n is the number of destinations.

### Explanation

… (90 more words) …

## Question number: 3

» Operations Research and Reliability » LPP Computational Methods

Appeared in Year: 2015

### Describe in Detail

Solve the following problem Simplex method.

Maximize Z = 8x_{1}+6x_{2}

Subject to

x_{1}+x_{2 } ≤ 10

2x_{1}+3x_{2} ≤ 25

x_{1}+5x_{2} ≤ 35

x_{1}, x_{2} ≥ 0

### Explanation

… (390 more words) …