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

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

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

Solve a maximization LPP in two variables with two $\le$ constraints by simplex method.

Formulate the LPP for a manufacturer making deluxe and ordinary models with skilled and semi-skilled labour hour constraints to maximize profit.

Solve a maximization LPP in three variables with two $\le$ constraints by simplex method.

Solve a transportation problem with possible unmet demand including shortage penalty costs to minimize total transportation plus penalty cost.

Solve a minimization LPP in three variables with three $\le$ constraints by simplex method.

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

Old vs young hens purchase problem with budget and housing constraints to achieve weekly profit target.

Solve a maximization LPP in two variables with four $\le$ constraints by simplex method.

Find an initial basic feasible solution to a transportation problem using the North-West corner rule.

Explain the Bull-Whip effect in supply chain management.

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

Explain the importance of outbound logistics in supply chain management.

What is cross docking? Discuss its importance and disadvantages.

Explain the role of Information Technology (IT) and information sharing in improving supply chain performance.

Describe the effect of variability from multiple suppliers on supply chain performance.

Discuss expenditure and opportunities in SCM.

Discuss the importance of inbound logistics in supply chain management.

Discuss importance of outsourcing in SCM.

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

Discuss the development from MRP to ERP system and SCM.

Discuss the role of inventory in the logistics supply chain system.

Explain ABC analysis in inventory control in detail with the help of a graph.

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

Explain ABC and VED analysis in inventory control and their advantages.

Find EOQ and evaluate a quantity-discount / single-order offer, including the discount that makes single ordering optimal.

How competitive advantages can be achieved using MRP?

Explain how SCM is linked with e-business.

Given average exponential service rate per hour, find probability service time exceeds / is within a given number of minutes.

For an M/M/1 queue with given Poisson arrival rate and exponential service time, compute steady-state performance measures such as average number in system $L_s$, average queue length $L_q$, average time in system $W_s$ and average waiting time in queue $W_q$.

Solve a game graphically.

Explain optimal strategy and rectangular games without saddle points.

Given average Poisson arrival rate per hour, find probability of exactly n arrivals in a given time period.

Explain pure and mixed strategies in game theory and list basic assumptions.

Explain the dominance rule for solving games.

Define a queue and explain the various queue disciplines.

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

Write short note on (Any two)

Explain in detail about various phases of project management.

Explain the rules of network construction and Fulkerson's rule for numbering the events.

Differentiate between CPM and PERT / discuss their similarities and differences.

Discuss applications of PERT/CPM in project planning and explain the difference between them.

Explain optimistic time, pessimistic time and most likely time in PERT.

Explain how to find the probability of completing a PERT project by a particular due date.

Explain what a critical path signifies and how it differs from any other path.

Given PERT expected project length and variance, find the completion time corresponding to a given probability (e.g., 0.99).

Write short notes on any two: