Ik University Industrial Engineering Department
IE402 Operations Research III Spring 2011
Homework #1 Poisson Process
Answers
Question 1
a) 1.67minutes
b) 0.165
c) 9.17minutes
d) 0.354
Question 2
a) 0
Name,Surname: ID: Signature: IE 232 Quiz # 2 1. (30 points) Use the following LP to find; max z = 40 x1 + 50 x2 Subject to x1 + 2 x2 40 x1 + x2 30 2 x1 + x2 40 x1, x2 0 a. b. (10 points)The optimum so
IE 232-Operations Research I
Homework#5
1. Each day, a news vendor must determine how many papers to order. She pays 42 for
each paper and sells each for 60. Any leftover papers are a total loss. From
IE 232-Operations Research I
Homework#4
1. Use the Wagner-Whitin and Silver-Meal methods to find production schedules
for the following dynamic lot-size problem: K=$30, h=$2, p=$4 d 1= 40, d2=
60, d3=
IE 232-Operations Research I Homework#2 KEY 1) Let Xi = number of units produced on machine i and Yi = 1 if machine i is used, Yi = 0 otherwise. n. min z= 1000 y1 + 920 y2 + 800 y3 + 700 y4 + 20 x1 +
IE 232-Operations Research I
Homework#2
1. A product can be produced on four different machines. Each machine has a
fixed setup cost, variable production cost per-unit-processed, and a production
capa
IE 232-Operations Research I
Homework#1
1. Sunco processes oil into aviation fuel and heating oil. It costs $40 to purchase each
1000 barrels of oil, which is then distilled and yields 500 barrels of
Sample/Practice Problems for Midterm 2
1. True/False, Multiple choice, Fill-in-the-blank.
a. Multiple Choice. Which of the following inventory models should be used if demand is randomly distributed
a
Problem Set (Mini-Project) Part #1
Due: November 24, 2009
Note: If you are missing all In-Class Exercises due to a conflict in your course schedule, you
can work on the problem sets instead. There wil
IE 422
Homework #3
Due: November 17, 2009 (at the beginning of first lecture hour)
You can work alone or in groups of 2.
Important notes:
1. Show your work for all questions to receive partial credit.
The Multiple Items and Multiple
Locations
Previously:
Individual items
Single location
Next, we will focus on:
Different items at a single location
Single item in different locations
Need to coor
Outline
Announcements:
Homework 4
will be assigned today
due next week (December 1st).
Midterm 2 (December 8)
Rooms: D/K-101 and D/K-105
13:00 15:00
2
Recall: Inventory control policies
Continuous Rev
file 06 (Nov 17)
14
Order-quantity, Order-point (Q,R) System
Continuous review system (RI=0)
A fixed quantity Q is ordered whenever the inventory
position drops to the reorder point R or lower.
Also c
Inventory Control with Time-varying
(or Dynamic) Demand
Also known as lot sizing
Demand rate
Demand pattern:
1
2
3
4
5
6
7
8
Time period
2
Lot sizing approaches
1. Fixed Economic Order Quantity
Any ti
Today
Lecture 4 plan:
Continue Chapter 5 : Basic EOQ model and its
extensions
Start Chapter 6: Lot sizing
Announcements:
Homework 2 (available on Course-Online by tomorrow
morning - due next week, Oct
Chapter 5
Order Quantities
When Demand is
Approximately Level
1
Overview
Economic Order Quantity (EOQ)
Model and Its Extensions
Assumptions and Derivation (5.1, 5.2)
Sensitivity Analysis (5.3)
Quantit
IE 422 Inventory Planning
Problems
Lecture 1 (last week)
Introduction: Class schedule and policies
In-class exercises will be given in the last hour
Alternative: Mini-project
File01 is uploaded on Cou
1
IE 422 Inventory Planning Problems
Lecture 1
Introduction: Class schedule and policies
The Context and Importance of Inventory Management
Basic Concepts
The Importance of Inventory
Management
What i
Class Exercise 2
The demand for a product over six periods is 10, 40, 95, 70, 120, and 50 units. The ordering cost is $100
and the holding cost is $1 per unit per period. Consider a lot sizing method