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

Jaguar, how jaguar implements aggregate planning?

how jaguar implements aggregate planning?

Important to theoretical distribution , Important to Theoretical Distributi...

Important to Theoretical Distribution The science  of theoretical distribution  under which  the frequencies of a variable are derived by  some  mathematical  model  without

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

requirements and characteristics of a good table , Requirements and Charac...

Requirements and Characteristics of a good table In the words  of Mr. Harry Jerome a good statistical table  is a triumph of ingenuity and  technique masterpiece of economy  o

Decision trees, Ask questioA farmer intends to drill a well for his herd. I...

Ask questioA farmer intends to drill a well for his herd. In the past, only 80% of the wells drilled in this area were successful at 12 metres of depth. On finding no water at 12 m

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

Range - measure of dispersion , RANGE Range  is the difference  betw...

RANGE Range  is the difference  between  the highest  and the  lowest  value is  series. This is the simplest  absolute measure  of dispersion. Symbolically  : R= L- S

Scientific research, Scientific research is building of knowledge throug...

Scientific research is building of knowledge through collection of empirically verifiable facts. The term verifiable here means which can be checked by others for accuracy

Overhead projector -report writing presentation , Overhead Projector  ...

Overhead Projector  Overhead  projector  casts an images of the transparencies  on a  screen. Transparencies  are frequently  used  visual  aids  especially  when  audience

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