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

Big M mehod, source code in c available?

source code in c available?

Answer, explain operation research with example.and also discuss the scope ...

explain operation research with example.and also discuss the scope of OR in modern management.

Linear programing, Solve the following Linear Programming Problem using Sim...

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

Calculation of ranks correlation , Calculation of Ranks Correlation W...

Calculation of Ranks Correlation Where Ranks  are Given: When the  actual  ranks  are given  the steps  followed are: a.Compute  the difference  of the  two ranks  (R1 and

1, A paper mill produces two grades of paper viz., X and Y. Because of raw ...

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

Sources of stress and job burnout, QUESTION Discuss the major sources o...

QUESTION Discuss the major sources of stress and job burnout and outline the strategies for managing stress. QUESTION How can you use the „Johari Window Model? as a

Merits - correlation regression analysis , Merits a.It is simple  to ...

Merits a.It is simple  to understand  and easy  to calculate. b.It is very  useful  in the  case of data which  are of  qualitative nature  like  intelligence  honesty  be

ANSWER OF PROBLEM RELATING TO PERT AND CPM., ANSWER OF ACTIVITY WITH THEIR ...

ANSWER OF ACTIVITY WITH THEIR PRECEDING ACTIVITY AND DURATION OF TIME IN WEEKS?

Components of the product, The manufacturer of the product is finding that,...

The manufacturer of the product is finding that, in order to stay competitive, a number of things need to happen: Components of the product need to be made from more sustaina

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