lp-model and markov decision problem, Operation Research

Assignment Help:

The supply of a certain good is inspected periodically. If an order is placed of size x>0 (integer), the ordering costs are 8+2.x. The delivery time is zero. The demand is stochastic en equals 1 or 2 with probability ½ . Demand in subsequent periods are independent. The size of an order must be such that (a) demand in a period is always satisfied, and (b) the stock at the end of a period never exceeds 2. The holding costs in a period are 2 per unit remaining at the end of a period. Target is to minimize the expected discounted costs over infinite horizon, use discount factor 0.8.

(a)   Give the optimality equations for the Markov decision problem.

(b)   Give an LP-model that allows you to determine the optimal policy.

(c)    Carry out two iterations of the value iteration algorithm

(d)   Choose an odering policy, and investigate using the policy iteration algorithm whether or not this policy is optimal. "

 


Related Discussions:- lp-model and markov decision problem

Replacement theory.., a pipe lis dur for rpair,the repair would cost 10000 ...

a pipe lis dur for rpair,the repair would cost 10000 and it would last for 3 years.alternatively a new pipe line can be purchase at 30000 for 10 years.assuming 10% depriciation rat

Study the case and provide an alternative compensati, #queStudy the case an...

#queStudy the case and provide an alternative compensation design, which would redress the problem faced by the two- wheeler major in Chennai.stion..

Tower of hanoi problem, Step 1: Research Towers of Hanoi problem The Tow...

Step 1: Research Towers of Hanoi problem The Towers of Hanoi is a problem frequently used to teach recursive programming techniques. Step 2: Run the assembly code from Hanoim

Simple method, Maximize Z= 3x1 + 2X2 Subject to the constraints: X1+ X2 4 X...

Maximize Z= 3x1 + 2X2 Subject to the constraints: X1+ X2 4 X1+ X2 2 X1, X2 0on..

Linear programming, Use Big M method to Maximize(Z)=3_(x_1 )+2_(x_2 ) Subj...

Use Big M method to Maximize(Z)=3_(x_1 )+2_(x_2 ) Subject to 3_(x_1 )+?1.5?_(x_2 )=30 x_1+x_2=20 x_1=0 x_2=0

Operation research techniques, High Costs are Involved in the Use of O. R...

High Costs are Involved in the Use of O. R Techniques: O. R techniques usually prove very expensive. Services of specialized persons are invariably called for ( and along w

Optimal assigment, #quesSix Operators are to be assigned to five jobs with ...

#quesSix 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 assig

Assignment, Q2. Six Operators are to be assigned to five jobs with the cost...

Q2. 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 assign

Question, i need many good and important question of operation research obo...

i need many good and important question of operation research obout dinamic programing and non-liner programing and integer orograming ....for study! thank you

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