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

Operations strategy in an organization, 1. Investigate: The Operations Str...

1. Investigate: The Operations Strategy of your organisation or one you are familiar with and answer the following points. Does your chosen organisation have an operations

Linear programming problem, A paper mill produces two grades of paper viz.,...

A paper mill produces two grades of paper viz., X and Y. Because of raw material restrictions, it cannot produce more than 400 tons of grade X paper and 300 tons of grade Y paper i

Reports - classification of documents, Reports: Report literature is a...

Reports: Report literature is an important primary source of information, particularly  for a research library. This new  medium for communication of information came into bei

Dual of the lpp, the dual form of the following lpp min z=3x1+2.5x2 constra...

the dual form of the following lpp min z=3x1+2.5x2 constraints:2x1+4x2>=40, 3x1+2x2>=50 and x1,x2>=0

Properties of normal distribution - probability distribution, Properties of...

Properties of Normal Distribution a.It is a continuous  probability  distribution having  parameters m and . b.The normal  curve is perfectly symmetrical about  the mean (

Linear programming, maximize z=3x1+2*2 subject to the constraints x1+x2=4 x...

maximize z=3x1+2*2 subject to the constraints x1+x2=4 x1-x2=2 x1.x2=0

Model, disadvantages of model in operational research

disadvantages of model in operational research

Modi, history of modi

history of modi

Linear programming, B A paper mill produces two grades of paper viz., X and...

B A paper mill produces two grades of paper viz., X and Y. Because of raw material restrictions, it cannot produce more than 400 tons of grade X paper and 300 tons of grade Y paper

CHARACTERISTIC, O.R REPLACES MANAGEMENT BY PERSONALITY

O.R REPLACES MANAGEMENT BY PERSONALITY

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