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GATE ME Industrial Engineering's Production Planning and Control, Inventory Control, Queuing, Transportation, Forecasting, Pert and Cpm, Scheduling<br>
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GATE-2004 Find the BEP volume above which automatic machine tool will be economical.
Reference books: Operations Research - Hira Gupta. Operations Research - Kanti swarup Industrial Engineering – O.P. Khanna
EXAMPLE: OP. KHANNA Contd…
Find the critical path duration. Find the probability of completion of project in 38 days.
EXAMPLE:1 Contd…
(I) Number of critical paths 2 (II) Min amount to be spent to reduce 11x project duration by 1 day is 60
SHORTEST PATH PROBLEM: Weight could be cost, time
GATE-2009(2 Marks) Consider the following LPP s/t Contd…
(A) LLP has unique solution (B) LLP is infeasible. LPP is unbounded. (D) LPP has multiple optimal solutions
ES-2001(2 Marks) • S
EXAMPLE :2 • Min
GATE-2000(5Mark) • Check whether the following solution is optimal or not. If not find the optimal solution.
EXAMPLE: Find the minimum assignment cost.
EXAMPLE: Find the idle worker
GATE-1995 • Six cars waiting to be repaired at a car repair shop each car has first to be dented and then painted. The estimated time for each car given below. Assuming only one denter and one painter
(A) What is the sequence in which cars are to be processed to minimize the make span? (B) What is the minimum make span?
ES-2001(5-MARKS) • Solution:
2 JOBS AND M M/C’S • Example: • Job 1: Lathe – Milling – Drilling • (2) (1) (3) • Job 2: Milling- Lathe- Drilling • (1) (2) (3)
ES-2004 Find forecast for 7th month using 3-month if wait . MA
GATE-2004(2-MARKS) Find the BEP volume above which automatic machine tool will be economical.