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

Census method, Census Methods Complete Enumeration: If detail informat...

Census Methods Complete Enumeration: If detail information  regarding every individual  person  or item of a given   universe ( or  population ) is  collected then the  enquir

Linear problem, A paper mill produces two grades of paper viz., X and Y. Be...

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

Mip, procedure of mip

procedure of mip

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

Linear Equation, Cohen Chemicals, produces two types of photo-developing fl...

Cohen Chemicals, produces two types of photo-developing fluids. The first, a black and white picture chemical, costs Cohen $2500 per ton to produce. The second, a colour photo chem

Quality circles, advantage of quality circle process

advantage of quality circle process

Type of measures of dispersion - measure of dispersion, Type  of  Measur...

Type  of  Measures  of Dispersion   a. Absolute Measure: The measure of dispersion which  is expressed in  terms of the units of the  observations( e, g, Rupees , metre ,

Optimization, Find a minimum cost spanning arborescence rooted,

Find a minimum cost spanning arborescence rooted,

Cgj, application&techniques

application&techniques

Effect of professional development on class management, Purpose: The pu...

Purpose: The purpose of this study is to explore the effect of professional development on teachers' Lesson Planning, Class Management, Teaching Methods, Cooperation and Teac

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