International Journal of Optimization in Civil Engineering
دانشگاه علم و صنعت ایران
Iran University of Science & Technology
http://ijoce.iust.ac.ir
18
agent2
2228-7558
en
jalali
1395
3
1
gregorian
2016
6
1
6
2
online
1
fulltext
en
OPTIMIZATION OF A PRODUCTION LOT SIZING PROBLEM WITH QUANTITY DISCOUNT
Optimal design
Optimal design
پژوهشي
Research
<p dir="ltr">Dynamic lot sizing problem is one of the significant problem in industrial units and it has been considered by many researchers. Considering the quantity discount in purchasing cost is one of the important and practical assumptions in the field of inventory control models and it has been less focused in terms of stochastic version of dynamic lot sizing problem. In <br>
this paper, stochastic dynamic lot sizing problem with considering the quantity discount is defined and formulated. Since the considered model is mixed integer non-linear programming, a piecewise linear approximation is also presented. In order to solve the mixed integer non-linear programming, a branch and bound algorithm are presented. Each node in the branch and bound algorithm is also MINLP which is solved based on dynamic programming framework. In each stage in this dynamic programming algorithm, there is a sub-problem which can be solved with lagrangian relaxation method. The numeric results found in this study indicate that the proposed algorithm solve the problem faster than the mathematical solution using the commercial software GAMS. Moreover, the proposed algorithm for the two discount levels are also compared with the approximate solution in mentioned software. The results indicate that our algorithm up to 12 periods not only can reach to the exact solution, it consumes less time in contrast to the approximate model.</p>
dynamic lot sizing problem, total quantity discount, branch and bound algorithm, dynamic programming, lagrangian relaxation method.
187
209
http://ijoce.iust.ac.ir/browse.php?a_code=A-10-66-94&slc_lang=en&sid=en
S.
Khosravi
`18003194753284600940`

18003194753284600940
No
S. H.
Mirmohammadi
`18003194753284600941`

18003194753284600941
Yes