## formulate the optimality equations, Operation Research

Assignment Help:

Each day you own 0 or 1 stocks of certain commodity. The price of the stock is a stochastic process that can be modeled as a Markov chain with transition rates as follows

 day n+1 100 200 day n 100 0.5 0.5 200 0.25 0.75

At the start of a day at which you own a stock you may choose to either sell at the current price, or keep the stock. At the start of a day at which you do not own stock, you may choose to either buy one stock at the current price or do nothing. You have initial capital of 200.

Your target is to maximize the discounted value of the profit over an infinite horizon, use discountfactor 0.8 (per day).

a) Define the states and give for each state the possible decisions.

b) Formulate the optimality equations.

c) Carry out two iterations of value iteration.

d) Formulate the L.P.-model to solve this problem. Describe how you can obtain the optimal policy from the LP formulation.

e) Choose a stationary policy and investigate using the policy iteration algorithm whether or not that policy is optimal.

f) Give the number of stationary policies. Motivate your answer by using the definition of stationary policy.

#### #titleAssignment Problem.., Six Operators are to be assigned to five jobs w...

Six Operators are to be assigned to five jobs with the cost of assignment in Rs. given in the matrix below. Determine the optimal assignment. Which operator will have no assignment

#### Linear programimg, Solve the following Linear Programming Problem using Si...

Solve the following Linear Programming Problem using Simple method. Maximize Z= 3x1 + 2X2 Subject to the constraints: X1+ X2 = 4 X1 - X2 = 2 X1, X2 = 0

#### Operations research, What are artificial variable why do you need them

What are artificial variable why do you need them

#### Model, What are the features of blending model

What are the features of blending model

#### Question, A paper mill produces two grades of paper viz., X & Y. Because of...

A paper mill produces two grades of paper viz., X & Y. Because of raw material restrictions, it cannot produce more 400 tons of grade X paper & 300 tons of grade Y paper in a week.

#### Model., is model the essence of oprational research.

is model the essence of oprational research.

#### Report writing - report writing presentation, REPORT WRITING The final...

REPORT WRITING The final step in research is to report the study  findings to those  who authorized the investigation. The American marketing association is  of the opinion  t

#### Survey method, This method involves a systematic and comprehensive study...

This method involves a systematic and comprehensive study of a particular community organization group etc, with a view to the analysis of a social problem and the presen

#### Data collection-requirement gathering methods, Data Collection / Requiremen...

Data Collection / Requirement Gathering Methods 1. Discuss about the data collection or requirements gathering methods that will be used to conduct the research. 2. Discus

#### Maths assignment , Maxz=3x1-2x2 St x1 -x2>_0, 3x1-x2 _0

Maxz=3x1-2x2 St x1 -x2>_0, 3x1-x2 _0

### Write Your Message!

#### 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!