Operation Research & Supply Chain (ME-703 (A)) - Important Questions

Solve the following LPP by simplex method: Maximize Z = 20x1 + 25x2 subject to 12x1 + 16x2 <= 100, 16x1 + 8x2 <= 80, x1, x2 >= 0.

Determine an initial basic feasible solution to a transportation problem using Vogel's approximation method.

A small manufacturer employs 15 skilled men and 30 semi-skilled men and makes an article in two qualities, a deluxe model and an ordinary model. Formulate the LPP to maximize profit subject to skilled and semi-skilled labour hour constraints.

Explain degeneracy in a transportation problem, why it occurs, and how to resolve it.

Give the mathematical formulation of the assignment problem and explain how it differs from the transportation problem.

Explain the flow of materials, money, and information in a typical supply chain with an example.

Explain the Bull-Whip effect in supply chain management.

Explain the importance of outbound logistics in supply chain management.

Find the EOQ / optimum lot size and associated minimum cost, number of orders and cycle time for the classical no-shortage inventory model with deterministic demand.

What is ABC analysis in inventory control? Describe it in detail with the help of graph.

What is Just-In-Time (JIT) manufacturing? Explain its relationship with Lean Manufacturing principles.

The service time at a counter has exponential distribution with mean service rate of 20 customers per hour. Find the probability that service time exceeds 15 minutes / is within a given number of minutes.

Solve the following game graphically.

Draw the project network diagram from given activities/durations and identify the critical path and project duration.

Write short notes on any two: (i) CPM vs PERT (ii) Fulkerson's rule for numbering events (iii) Phases of project management.