problem 1)a) prepare down the exs of Probabilistic models?

b) What do you mean by non-linear programming?

c) What is an assignment model?

d) What is game theory?

e) Define 'goal programming?

f) Define principle of optimality?

g) Name the important types of distributions?

problem 2) Define "CPM"?

problem 3) Define 'Deterministic Demand'

problem 4) Use Big 'M' method to maximize

Z: 3x₁ + 2x₂ subject to the constraints
2x₁+ x₂≤3
X₁+4x₂≥4
X₁+x₂≥0

problem 5) Sam company is presently working with a process which after paying the materials. Labour etc. brings a profit of Rs. 12,000. The alternatives that are made available to the company are given below:

(a) The company can conduct research (R1) which is expected to cost of Rs. 10,000 having 90% chances of  success' If it proves a success' the company gets gross income of Rs' 25'000'

(b) The company can conduct research (R2) which is expected to cost of Rs. 8,000 having 6a% chances of success. If it proves a success, the company gets gross income of Rs' 25'000'

(c) The company can pay Rs, 6,000 as a royalty for a new process which will brings gross income of Rs' 20,000'

(d) The company continues the current process.

Because of the limited resources, it is supposed that only one of the two types of research can be carried out at a time. Use decision tree to locate the optimal strategy for the company.

problem 6) prepare brief note on any two of the following:

(a) Rules for Network construction.

(b) Types of Maintenance

(c) EOQ