国际会议报告英文ppt-(IAME2008)
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2.2 Approximation Result by Historical Data
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2.3 An Information System solution
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3 Conclusions
An extend newsboy model with agencies was formulated. A practical near-optimal solution was provided. An information system was implemented. Our following papers:
How many newspapers should to be bought before the actual number of buyers is known?
The Extended Newsboy Problem
(1) (2) (3) (4) … Objective function Supplies or products Dispose of excess product Multi-period
11百度文库
2.1 The Probability Distribution of arrivals
An Reversed Poisson distribution with the parameter
λ
x ti ti
Number of passengers arriving at central office during ti to tI Time of (i+1)th time required to distribute tickets Time to stop selling tickets
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1.1 Why use agencies
The Extended Newsboy Problem in the Dalianwan New Harbour Service Company (DNHS) in Dalian, China Agencies and Ticketing business
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2.1 The Probability Distribution of arrivals
A Poisson distribution
http://www.math.unl.edu/~sdunbar1/Teaching/MathematicalFinance/Lessons/ Poisson/Poisson/poisson.gif
Ni =(p-q)x’i+p(Ci -x’i)=pCi -q x’i
x’i Number of excess tickets distributed to agencies Ni Incomings p Normal price of the class of tickets q Cost of each ticket issued by an agency Ci Number of available tickets
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DNHS Location Market Share
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DNHS - Agencies
The central ticketing office
An agency near the railway station
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1.2 Aggressive agencies
The Problem
April 1, 2008, 08:30 A agency printed 10 tickets April 2, 2008, 11:00 All tickets sold out in the central office April 2, 2008, 12:00 5 passengers came to the central office There are no available tickets April 2, 2008, 12:30 5 were returned, other 5 were used April 2, 2008, 13:30 The ship left port with 5 vacancies
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2.1 The Probability Distribution of arrivals
x C0
the rich historical data t should be used selectively
0
t1
… ti
…
tI time
very bad weather the Chinese Spring Festival (CSF)
The Result …
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The Agency’s Profit and loss
To the agency: Fine = 5 × price × 5% Gain = 5 × price ×10% To the ferry company: Loss = 5 * price * 95%
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1.3 Problem Formulation
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A Near-Optimal Solution
The probability distribution of arrivals Approximation Result An information system solution
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1 Problem Formulation
The Classical Newsboy Problem
The Newsboy Problem Ferry Companies Have with agencies
Authors: Xiaobing LIU Zhongkai LI*
Dalian University of Technology
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Contents
Problem Formulation
Why use agencies Aggressive agencies Formulation
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2 A Near-Optimal Solution
The Expected Value of xi
Number of passengers arriving at the central office
A Regressive Approach
ti Time of (i+1)th time to distribute tickets
Stowage optimization method oriented to Ro-Ro ships Integrated resource management system oriented to ferry companies
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Thank you. All questions are welcome.