Determine phases-states-decisions and probability , Operation Research

Assignment Help:

G. Ambler has € 10000 available for a second hand car, but would like to buy a fast car that costs € 25000. He needs the money for that car quickly, and would like to increase his capital to € 25000 via a gambling game. To this end, he can play a game in which he is allowed to toss an imperfect (with probability 0.4 for heads) coin three times. For each toss he may bet each amount (in multiples of € 1000 and the amount should be in his possession). He will win the amount (i.e. receives twice the amount of the bet) when he tosses head, and loses his betted amount when he tosses tails. Use stochastic dynamic programming to determine a strategy that maximises the probability of reaching € 25000 after three tosses.

(a) Determine the phases n, states i, decisions d, en optimal valuefunction fn(i) for this stochastic dynamic programming problem.
(b) Give the recurrence relations for the optimal value function.
(c) Determine the optimal policy, and describe in words what this policy does. What is the expected probability of succes?

 


Related Discussions:- Determine phases-states-decisions and probability

Applications of statistics in management, In a business, statis...

In a business, statistics is used to study the demand and market characteristics of the product or service being sold. In fact, market research

C, classification on the bases of function or purpose

classification on the bases of function or purpose

Title page - report writing presentation, Title  Page Tthe title page...

Title  Page Tthe title page  should  indicate  the topic  on which  the report has been  prepared the  person  or agency who has  prepared it the  person  a agency for whom it

Linear programming, #questiona paper mill produce two grades of x&y.becouse...

#questiona paper mill produce two grades of x&y.becouse of raw material reswtriction

Ap problem, Ask question A Company produces 150 cars. But the production ra...

Ask question A Company produces 150 cars. But the production rate varies with the distribution. Production Rate Probability 147 0.05 148 0.10 149 0.15 150 0.20 151 0.30 152 0.15 15

Linear programming, Ask question #Minimum 100 words acceptNas food produces...

Ask question #Minimum 100 words acceptNas food produces to kinds of popular dark chocolate bars. the banana and coffee. the banana bar costs 0.22 to make and sells of 0.35, where a

Overview of writing research proposal, Overview of Writing Research Proposa...

Overview of Writing Research Proposal It may be written in words of the researcher or as answers following the guidelines provided by the sponsoring organization. A review of

Purchasing, need of detailed information about the topic

need of detailed information about the topic

Simple method, Maximize Z= 3x1 + 2X2 Subject to the constraints: X1+ X2 =...

Maximize Z= 3x1 + 2X2 Subject to the constraints: X1+ X2 = 4 X1 - X2 = 2 X 1, X2 = 0

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd