#sensitivityanalysis

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Code No.:(87)
#ugcnetsyllabus2024
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Subject: PDF UNIT1 TOPIC7E

Unit 1: Discrete Structures and Optimization (PART: 7E/7)

#Optimization:
Topics Covered:
#sensitivityanalysis

Index:
Sensitive Analysis / Optimality Analysis
range of optimality:
Case1: changes made to one coefficient of objective function at a time
Case2: simultaneous change to 2 or more coefficient of objective function at a time
Find range of optimality: Eg-1, Eg2
Question on Eg-2: (Q1,Q2: based on case1), (Q3: based on case2)

Sensitive analysis based on R.H.S. (Right Hand Side): Range of feasibility, Dual Value / shadow price, Dual value zero, Dual value negative
Dual Value / shadow price: Eg, Interpretation of Dual Prices: (Resource cost is sunk, Resource cost is relevant, Relevant Cost & Sunk Cost)
Slack, surplus and Binding constraint: Introduction, Eg-3

Eg-4: Case1: Sensitive Analysis on change in cost vector, Case2: Sensitive Analysis on change in Requirement Vector

Timecode:
00:24 range of optimality:
00:34 Change in one decision variable at a time: Eg-1, Eg-2, Q1, Q2
08:58 Change in decision variables simultaneously: Eg-2 Q3
11:29 Sensitive analysis based on change in R.H.S. (Right Hand Side)
12:46 Eg of Dual Value / shadow price
17:28 Slack, surplus and Binding constraint
25:58 Eg-4: Case1: Sensitive Analysis on change in cost vector, Case2: Sensitive Analysis on change in Requirement Vector