The single (and multi) item profit maximizing capacitated lot–size (PCLSP) problem with fixed prices and no set–up
Kybernetika, Tome 46 (2010) no. 3, pp. 415-422 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

This paper proposes a specialized LP-algorithm for a sub problem arising in simple Profit maximising Lot-sizing. The setting involves a single (and multi) item production system with negligible set-up costs/times and limited production capacity. The producer faces a monopolistic market with given time-varying linear demand curves.
This paper proposes a specialized LP-algorithm for a sub problem arising in simple Profit maximising Lot-sizing. The setting involves a single (and multi) item production system with negligible set-up costs/times and limited production capacity. The producer faces a monopolistic market with given time-varying linear demand curves.
Classification : 65K05, 68W99, 90B05, 90B06, 90B30, 90C05, 90C59, 91B24
Keywords: heuristics; lot-sizing; dynamic pricing; specialized algorithm for LP's
@article{KYB_2010_46_3_a6,
     author = {Haugen, Kjetil K. and Olstad, Asmund and Bakhrankova, Krystsina and Van Eikenhorst, Erik},
     title = {The single (and multi) item profit maximizing capacitated lot{\textendash}size {(PCLSP)} problem with fixed prices and no set{\textendash}up},
     journal = {Kybernetika},
     pages = {415--422},
     year = {2010},
     volume = {46},
     number = {3},
     mrnumber = {2676079},
     zbl = {1198.90123},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KYB_2010_46_3_a6/}
}
TY  - JOUR
AU  - Haugen, Kjetil K.
AU  - Olstad, Asmund
AU  - Bakhrankova, Krystsina
AU  - Van Eikenhorst, Erik
TI  - The single (and multi) item profit maximizing capacitated lot–size (PCLSP) problem with fixed prices and no set–up
JO  - Kybernetika
PY  - 2010
SP  - 415
EP  - 422
VL  - 46
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/KYB_2010_46_3_a6/
LA  - en
ID  - KYB_2010_46_3_a6
ER  - 
%0 Journal Article
%A Haugen, Kjetil K.
%A Olstad, Asmund
%A Bakhrankova, Krystsina
%A Van Eikenhorst, Erik
%T The single (and multi) item profit maximizing capacitated lot–size (PCLSP) problem with fixed prices and no set–up
%J Kybernetika
%D 2010
%P 415-422
%V 46
%N 3
%U http://geodesic.mathdoc.fr/item/KYB_2010_46_3_a6/
%G en
%F KYB_2010_46_3_a6
Haugen, Kjetil K.; Olstad, Asmund; Bakhrankova, Krystsina; Van Eikenhorst, Erik. The single (and multi) item profit maximizing capacitated lot–size (PCLSP) problem with fixed prices and no set–up. Kybernetika, Tome 46 (2010) no. 3, pp. 415-422. http://geodesic.mathdoc.fr/item/KYB_2010_46_3_a6/

[1] Belvaux, G., Wolsey, L. A.: Lotsizelib: A Library of Models and Matrices for Lot-sizing Problems. Internal Report, Universite Catholique de Louvain, Center for Operations Research and Econometrics, 1999.

[2] Diaby, M., Bahl, H. C., Karwan, M. H., Zionts, S.: A Lagrangean relaxation approach for very-large-scale capacitated lot-sizing. Management Sci. 38 (1992), 9, 1329–1340. | DOI | Zbl

[3] Drexl, A., Kimms, A.: Lot sizing and scheduling – survey and extensions. European J. Oper. Res. 99 (1997), 221–235. | DOI | Zbl

[4] Florian, M., Lenstra, J. K., Kan, A. H. G Rinnooy: Deterministic production planning: algorithms and complexity. Management Sci. 26 (1980), 669–679. | DOI | MR

[5] Haugen, K. K., Olstad, A., Pettersen, B. I.: The profit maximizing capacitated lot-size (pclsp) problem. European J. Oper. Res. 176 (2007), 165–176. | DOI | MR | Zbl

[6] Haugen, K. K, Olstad, A., Pettersen, B. I.: Solving large-scale profit maximization capacitated lot-size problems by heuristic methods. J. Math. Modelling and Algorithms 6 (2007), 1, 135–149. | DOI | MR | Zbl

[7] Nahmias, S.: Production and Operations Analysis. Fifth edition. McGraw Hill, Boston 2005.

[8] Olstad, A.: Dynamic Pricing and Lot-sizing Within Manufacturing. PhD Thesis, Norwegian School of Economics and Business Administration 2006.

[9] Thizy, J. M., Wassenhove, L. N. Van: Lagrangean relaxation for the multi-item capacitated lot-sizing problem: A heuristic implementation. IEE Trans. 17 (1985), 4, 308–313. | DOI

[10] Thomas, J.: Price-production decisions with deterministic demand. Management Sci. 18 (1970), 11, 747–750. | DOI | Zbl

[11] Trigeiro, W. W., Thomas, L. J., McClain, J. O.: Capacitated lot sizing with setup times. Management Sci. 35 (1989), 3, 353–366. | DOI

[12] Wagner, H. M., Whitin, T. M.: Dynamic version of the economic lot size model. Management Sci. 5 (1958), 3, 89–96. | DOI | MR | Zbl