Bård Inge Austigard Pettersen

• Haugen, Kjetil Kåre; Olstad, Asmund & Pettersen, Bård Inge (2007). Solving large-scale profit maximization capacitated lot-size problems by heuristic methods. Journal of Mathematical Modelling and Algorithms. ISSN 1570-1166. 6(1), p. 135–149. doi: 10.1007/s10852-006-9053-2. Show summary

  This paper introduces a simple heuristic for a quadratic programming sub-problem within a Lagrangean relaxation heuristic for a dynamic pricing and lot-size problem. This simple heuristic is demonstrated to work well on both "standard problem instances" from the CLSP-literature, as well as on very large-scale cases. Additionally, we introduce price constraints within the framework of dynamic pricing, discuss their relevance in a real world market modelling, and demonstrate their applicability within this algorithmic framework.

• Haugen, Kjetil Kåre; Olstad, Asmund & Pettersen, Bård Inge (2007). The profit maximizing capacitated lot-size (PCLSP) problem. European Journal of Operational Research. ISSN 0377-2217. 176(1), p. 165–176. doi: 10.1016/j.ejor.2005.08.001. Show summary

  This paper extends the results for capacitated lot-sizing research to include pricing. Based on a few examples, the new version appears to by much easier to solve computationally. The paper, by including price, can modify demand as well as production schedule. Due to model assumptions (form of demand) a feasible solution can be found easily, unlike CLSP.

View all works in Cristin

• Pettersen, Bård Inge & Rekdal, Per Kristian (2023). Innføring i bedriftsøkonomi. Pytagoras forlag. ISBN 978-82-93995-06-7. 182 p.
• Pettersen, Bård Inge & Rekdal, Per Kristian (2023). Lager- og produksjonsplanlegging : oppgaver og løsninger. Pytagoras Forlag. ISBN 978-82-93995-04-3. 183 p.
• Pettersen, Bård Inge & Rekdal, Per Kristian (2023). Anvendt statistikk : oppgaver og løsninger . Pytagoras Forlag. ISBN 978-82-93995-03-6. 200 p.
• Pettersen, Bård Inge & Rekdal, Per Kristian (2022). Diskret matematikk og informatikk : del 1 . Pytagoras forlag. ISBN 9788269236194. 225 p.
• Rekdal, Per Kristian & Pettersen, Bård Inge (2022). Hvordan lykkes som student? Pytagoras forlag. ISBN 9788269236187. 90 p.
• Pettersen, Bård Inge & Rekdal, Per Kristian (2022). Anvendt statistikk. Pytagoras forlag. ISBN 978-82-692361-6-3. 297 p.
• Pettersen, Bård Inge & Rekdal, Per Kristian (2022). Lager- og produksjonsplanlegging. Pytagoras forlag. ISBN 9788269236170. 188 p.
• Pettersen, Bård Inge & Rekdal, Per Kristian (2021). Grunnleggende matematikk. Pytagoras forlag. ISBN 978-82-692361-4-9. 138 p.
• Pettersen, Bård Inge & Rekdal, Per Kristian (2021). Anvendt matematikk. Pytagoras forlag. ISBN 978-82-692361-5-6. 476 p.
• Pettersen, Bård Inge & Rekdal, Per Kristian (2021). Anvendt statistikk : del 2: statistisk inferens. Pytagoras forlag. ISBN 978-82-692361-2-5. 151 p.
• Pettersen, Bård Inge & Rekdal, Per Kristian (2021). Anvendt statistikk : del 1: sannsynlighetslære. Pytagoras forlag. ISBN 978-82-692361-0-1. 198 p.

View all works in Cristin

• Sætren, Malene Lunde; Rekdal, Per Kristian; Pettersen, Bård Inge; Kippernes, Mari Aandahl & Eikrem, Allan (2024). Stadig flere studerer over nett. [TV]. nrk.no/mr.
• Pettersen, Bård Inge & Lohaugen, Karianne (2021). Holder forkurs i matematikk. [Radio]. NRK P1 Møre og Romsdal.
• Langelo, Erik; Pettersen, Bård Inge & Rekdal, Per Kristian (2019). The profit-maximizing lot size problem with pricing lag effects. Show summary

  In 1970, Joseph Thomas extended the well-known dynamic lot size model of Wagner and Whitin to include variable prices, as well as variable production costs. This master thesis extends Thomas’ model to include something called the “lag effect”. Formally, this master thesis models a disaggregated, finite-horizon, profit-maximizing dynamic lot size problem with pricing lag effects in demand. This effect models the tendency for customers to stock up on a product when it is offered for cheap, causing demand to increase in the “cheap” time period, while it decreases in the next. In effect, lowering the price causes demand to shift backwards in time, in addition to increasing demand as in most demand functions. The problem is to decide in which time periods to produce, how much to produce in each period, and which price to set in each period. The objective is to maximize the total profit, defined as total revenue minus total setup cost, production cost and inventory holding cost. Three theorems which restrict the amount of possible optimal solutions are proved. A solution is then provided to the production horizon problem, a sub-problem of the main problem. The production horizon problem is then solved with two different models: with and without the lag effect. The optimal solutions of these models are then compared for varying values of some key parameters. Keywords: revenue management and pricing, inventory

• Langelo, Erik; Pettersen, Bård Inge & Rekdal, Per Kristian (2019). The profit-maximizing lot size problem with pricing lag effects . Show summary

  In 1970, Joseph Thomas extended the well-known dynamic lot size model of Wagner and Whitin to include variable prices, as well as variable production costs. This work extends Thomas’ model to include something called the lag effect. Formally, this work models a disaggregated, finite-horizon, profit-maximizing dynamic lot size problem with pricing lag effects in demand. This effect models the tendency for customers to stock up on a product when it is offered for cheap, causing demand to increase in the given time period, while it decreases in the next. In effect, lowering the price causes demand to shift backwards in time, in addition to increasing demand as in most demand functions. The problem is to decide in which time periods to produce, how much to produce in each period, and which price to set in each period. The objective is to maximize the total profit, defined as total revenue minus total setup cost, production cost and inventory holding cost. Three theorems which restrict the amount of possible optimal solutions are proved. A solution is then provided to the production horizon problem, a sub-problem of the main problem. The production horizon problem is then solved with two different models: with and without the lag effect. The optimal solutions of these models are then compared for varying values of some key parameters.

• Rekdal, Per Kristian; Pettersen, Bård Inge & Amundsgård, Herman (2019). Innfører møteplikt for mattestudentene . [Newspaper]. Romsdals Budstikke.
• Rekdal, Per Kristian & Pettersen, Bård Inge (2020). MAT110 Statistikk 1: Løsninger til eksamensoppgaver 2012-2019. Høgskolen i Molde - Vitenskapelig høgskole i logistikk.
• Rekdal, Per Kristian & Pettersen, Bård Inge (2020). MAT110 Statistikk 1: Eksamensoppgaver 2012-2019. Høgskolen i Molde - Vitenskapelig høgskole i logistikk.
• Rekdal, Per Kristian & Pettersen, Bård Inge (2019). MAT100 Matematikk : Kompendium 2019, del 3. Høgskolen i Molde - Vitenskapelig høgskole i logistikk.
• Rekdal, Per Kristian & Pettersen, Bård Inge (2019). MAT100 Matematikk : Kompendium 2019, del 2. Høgskolen i Molde - Vitenskapelig høgskole i logistikk.
• Rekdal, Per Kristian & Pettersen, Bård Inge (2019). MAT100 Matematikk : Kompendium 2019, del 1 : Brukes også i "MAT001 Forkurs i matematikk". Høgskolen i Molde - Vitenskapelig høgskole i logistikk.
• Pettersen, Bård Inge & Rekdal, Per Kristian (2018). SCM200 Lager- og produksjonsplanlegging : løsningsforslag til eksamensoppgaver 2015 - 2017. Høgskolen i Molde - Vitenskapelig høgskole i logistikk.
• Pettersen, Bård Inge & Rekdal, Per Kristian (2018). SCM200 Lager- og produksjonsplanlegging : eksamensoppgaver 2015 - 2017. Høgskolen i Molde - Vitenskapelig høgskole i logistikk.
• Pettersen, Bård Inge & Rekdal, Per Kristian (2018). SCM200 Lager- og produksjonsplanlegging : samlig av øvingsoppgaver 2018. Høgskolen i Molde - Vitenskapelig høgskole i logistikk.
• Pettersen, Bård Inge (2018). SCM200 Lager- og produksjonsplanlegging : samlig av løsningforslag til øvingsoppgaver 2018. Høgskolen i Molde - Vitenskapelig høgskole i logistikk.
• Pettersen, Bård Inge & Rekdal, Per Kristian (2017). SCM200 Lager- og produksjonsplanlegging : samlig av øvingsoppgaver 2017. Høgskolen i Molde - Vitenskapelig høgskole i logistikk.
• Pettersen, Bård Inge & Rekdal, Per Kristian (2017). SCM200 Lager- og produksjonsplanlegging : samlig av løsningforslag til øvingsoppgaver 2017. Høgskolen i Molde - Vitenskapelig høgskole i logistikk.
• Pettersen, Bård Inge & Rekdal, Per Kristian (2017). SCM200 Lager- og produksjonsplanlegging : kompendium V-2017 : del 2 av 2. Høgskolen i Molde - Vitenskapelig høgskole i logistikk.
• Pettersen, Bård Inge & Rekdal, Per Kristian (2017). SCM200 Lager- og produksjonsplanlegging : kompendium V-2017 : del 1 av 2 . Høgskolen i Molde - Vitenskapelig høgskole i logistikk.

View all works in Cristin