Curriculum

Advanced Linear Programming

Major Topics:

1. Introduction
2. Model Building by IP
3. Branch and Bound Methods
4. Zero-one Implicit Enumeration
5. The All-Integer Cut Method
6. Solving Large Scale 0-1 Problems
7. Lagrangian Relaxation Method
8. The Asymptotic Integer Algorithm
9. The Knapsack Problem
10. The Set covering Problem.
11. The Column Generation Method
12. Benders' Decomposition For Mixed IP
13. Practical Application of IP from Literature

Course Timetable:

 Prescribed Texts:

1. Mathematical Programming: Applications and Algorithms, W. Winston, 1997.
2. Integer Programming, Laurence Wolsey, 19 September 2020
3. Integer Programming 1st Edition, Laurence Wolsey, Wiley-Interscience, 1999.
4. برنامه ریزی عدد صحیح: مدلسازی و روش های حل- دکتر کورش عشقی-1398

Integer Programming

PRODUCTION & INVENTORY CONTROL 1

Evaluation:

Major Topics:

1. Production Planning
2. (r,Q)  , (R,T)  Inventory Systems
3. Advance Single Period Models 
4. Lot Size Reorder Point Models
5. Base Stock System
6. Discount Based on timing  of Orders
7. Inventory  Planning Systems
8. Materials Requirement Planning (MRP)

Course Timetable:

Prescribed Texts:

1. Analysis of Inventory System, H. G. Hadley  & T. M. Whitin.1963
2. Decision System for Inventory Management Production Planning, Rein Peterson  & Edward Silver.1998
3. Inventory Control (McGraw-Hill series in industrial engineering and management science), Stephen F. Love.1979
4. Operations Research in Production Planning, Scheduling and Inventory Control, Lynwood A. Johnson and Douglas C. Montgomery. 1974

PRODUCTION & INVENTORY CONTROL 2

Evaluation:

Major Topics:

1. Introduction to Linear Programming
2. The Simplex Method
3. Duality and Sensitivity Analysis
4. Transportation Models
5. The Revised Simplex Method
6. Bounded Variables Algorithm

Parametric Linear Programming

Course Timetable:

Prescribed Texts:

1. Mathematical Programming: Applications and Algorithms, W. Winston, 1997.
2. Linear Programming and Network Flows, 3th edition, M. Bazaraa et al., John Wiley, 2005.
3. Operations Research: An Introduction, 8th edition, H.A. Taha, Prentice Hall, 2006.
4. Introduction to Operations Research, 8th edition, F.S. Hillier and  G.J. Liberman, MacGraw- Hill, 2005.
5. برنامه ریزی خطی: مدلسازی و روش های حل- دکتر کورش عشقی- مهندس فرید فرنیا

 Operations Research 1

PRODUCTION & INVENTORY CONTROL1

  Evaluation:

Major Topics:

1-Supply Chain Concept

2-Supply Chain Management Concept

3- Recent Transformations in Business Trends

4- Examining recent developments in production management and logistics management over the past decades.

5-Strategic Planning in the Supply Chain

6-Types of Decisions in the Supply Chain

7- Supply Chain Design

8- nformation Technology and Supply Chain

9- Measuring efficiency in the supply chain

Course Timetable:

1- Mentzer, J.T., Supply Chain Management, Sage Publication, 2001.

2- Simchi-levi, D., Kaminsky, P. and Simchi-levi E., Designing and managing the supply chain: Concept, strategies and case studies McGraw-Hill, 2000

3- Handfield, R.,  Nichols E., Introduction to Supply Chain Management, Prentice-Hall, 1999