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

Linear programming problem, #Solve the following Linear Programming Problem...

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

Binomial distriubiton - probability distribution , BINOMIAL DISTRIUBITON ...

BINOMIAL DISTRIUBITON This  distribution  (also known  as Bernoulli  distribution ) is useful  in such  an experiment where  there  are only two  outcomes success or failure g

Characteristics of scientific research, Horton and hunt have given follow...

Horton and hunt have given followings nine characteristics of scientific method: 1. Verifiable evidence i e, factual observations which other observers can see and check

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

Methods of survey and study, Methods of Survey and Study:   Some method...

Methods of Survey and Study:   Some methods of collecting information about the organisation and about the information requirement of potential users are mentioned below. No si

Method of concurrent deviations, Method of Concurrent Deviations The  ...

Method of Concurrent Deviations The  coefficient  of concurrent  deviation or coefficient  of correlation  b the concurrent deviation  methods  is given  by the formula. R

A, what operation research analysts do not

what operation research analysts do not

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