Operations Research (OR) — Winter 2024

What is Inventory? Explain Different Inventory Cost Component?

What is LPP? Discuss in brief components of an LPP. Also give its limitations.

There are seven jobs, each of which has to go through the machines Aand Bin the order AB. Processing times in hours are as follows: Job 1 2 3 4 5 6 Machine A 3 12 15 6 10 11 9 Machine B 8 10 10 6 12 1 Determine a sequence of these jobs that will minimize the total elapsed time T. Also find T and idle time for machines Aand B.

Use the graphical method to solve the following LP problem. Maximize Z = 15x1 + 10x2 subject to the constraints

4x1 + 6x2 ≤ 360, (ii) 3x1 + 0x2 ≤ 180, (iii) 0x1 + 5x2 ≤ 200 and x1, x2 ≥ 0.

Use the graphical method to solve the following LP problem. Maximize Z = 2x1 + x2 subject to the constraints

x1 + 2x2 ≤ 10, (ii) x1 + x2 ≤ 6, (iii) x1 – x2 ≤ 2, (iv) x1 – 2x2 ≤ and x1, x2 ≥ 0.

Define Operation Research and explain briefly its application?

Asuper market has a single cashier. During the peak hours, customers arrive at a rate of customers per hour. The average no of customers that can be processed by the cashier is 24 per hour. Find • The probability that the cashier is idle. • The average no of customers in the queue system. • The average time a customer spends in the system. • The average time a customer spends in queue. • The any time a customer spends in the queue waiting for service.

Find the Initial basic feasible solution to the following transportation problem using Vogel’s Approximation Destination D1 D2 D3 D4 Supply Source 02 2 6 5 9 400 Demand 250 350 400 200 1200

What is replacement? Describe some important situations.1

Solve the assignment problem At the head office of a company there are five registration counters. Five persons are available for service. How should the counters be assigned to persons so as to maximize the profit? P \ C A B C D E

The production department of a company requires 3600 kg of raw material for manufacturing a particular item per year. It has been estimated that the cost of placing anorder is Rs.36 and the cost of carrying inventory is 25 percent of the investment in theinventories. The price is Rs.10 per kg. purchaser manager wishes to determine anordering policy for raw materials.

Give three different examples of sequencing problems in your daily life.

1)Difference Between Transportation Problem And Assigment Problem 2)Discuss on History and Definitions of Operations Research

Explain Calling population for queuing system.

Explain the difference between PERT and CPM.

What is simulation Explain types of Simulation?

What is the main objective of sequencing problem? State the assumptions generally made while dealing with sequencing problems.