Bård Inge Austigard Pettersen

Norwegian version of this page Faculty of Logistics Norwegian version of this page

Position

Assistant Professor in Logistics - IT and Digitization

Contact

+47 71214058

bard.i.a.pettersen@himolde.no

Study place

Molde

Office nr.

C446

Teaching

Currently I am:

Study leader for online one year study in logistic.
Coordinator for online teaching at department of logistic
Teaching the following courses:

Research

I am work within the fields of:

Statistical machine learning
Matematical logic
Functional analysis
Combinatorics
Complexity theory

Interests

I am generally very interested in everything to do with learning, including pedagogy, digitization of the classroom, online studies, blended learning etc.

I am passionate about facilitating the best possible studies for the students and do a lot of research on how digital aids can improve both traditional classroom teaching and purely online studies.

Education

I have a degree in mathematics and physics at Norwegian University of Science and Technology.

On my spare time

I am fond of sports and play a bit of beach volleyball when the sun comes out. In addition, I am an active underwater rugby player.

Otherwise, I often sit and plunder with exciting IT projects that I am passionate about:

New LMS systems (Learning Management Systems)
Digitization of books
Simulation in mathematics

Research groups

Planning, Optimization and Decision Support

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. Full text in Research Archive 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.
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. Full text in Research Archive 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.

View all works in NVA

Pettersen, Bård Inge & Rekdal, Per Kristian (2025). Grunnleggende matematikk : oppgaver og løsninger. Cappelen Damm Akademisk. ISBN 9788202863517. 166 p. Full text in Research Archive
Pettersen, Bård Inge & Rekdal, Per Kristian (2025). Grunnleggende matematikk. Cappelen Damm Akademisk. ISBN 9788202809379. 276 p. Full text in Research Archive
Pettersen, Bård Inge & Rekdal, Per Kristian (2024). Grunnleggende matematikk. Pytagoras forlag. ISBN 9788293995104. 223 p. Full text in Research Archive
Pettersen, Bård Inge & Rekdal, Per Kristian (2024). Grunnleggende matematikk : oppgaver og løsninger. Pytagoras forlag. ISBN 9788293995098. 130 p. Full text in Research Archive
Pettersen, Bård Inge & Rekdal, Per Kristian (2024). Innføring i bedriftsøkonomi. Pytagoras Forlag. ISBN 9788293995081. Full text in Research Archive
Pettersen, Bård Inge & Rekdal, Per Kristian (2023). Innføring i bedriftsøkonomi. Pytagoras forlag. ISBN 9788293995067. 182 p. Full text in Research Archive
Pettersen, Bård Inge & Rekdal, Per Kristian (2023). Anvendt statistikk : oppgaver og løsninger. Pytagoras Forlag. ISBN 9788293995036. 200 p. Full text in Research Archive
Pettersen, Bård Inge & Rekdal, Per Kristian (2023). Lager- og produksjonsplanlegging : oppgaver og løsninger. Pytagoras Forlag. ISBN 9788293995043. 183 p. Full text in Research Archive
Pettersen, Bård Inge & Rekdal, Per Kristian (2022). Anvendt statistikk. Pytagoras forlag. ISBN 9788269236163. 297 p. Full text in Research Archive
Rekdal, Per Kristian & Pettersen, Bård Inge (2022). Hvordan lykkes som student? Pytagoras forlag. ISBN 9788269236187. 90 p. Full text in Research Archive
Pettersen, Bård Inge & Rekdal, Per Kristian (2022). Diskret matematikk og informatikk : del 1. Pytagoras forlag. ISBN 9788269236194. 225 p. Full text in Research Archive
Pettersen, Bård Inge & Rekdal, Per Kristian (2022). Lager- og produksjonsplanlegging. Pytagoras forlag. ISBN 9788269236170. 188 p. Full text in Research Archive
Pettersen, Bård Inge & Rekdal, Per Kristian (2021). Anvendt statistikk : del 2: statistisk inferens. Pytagoras forlag. ISBN 9788269236125. 151 p. Full text in Research Archive
Pettersen, Bård Inge & Rekdal, Per Kristian (2021). Anvendt statistikk : del 1: sannsynlighetslære. Pytagoras forlag. ISBN 9788269236101. 198 p. Full text in Research Archive
Pettersen, Bård Inge & Rekdal, Per Kristian (2021). Anvendt matematikk. Pytagoras forlag. ISBN 9788269236156. 476 p. Full text in Research Archive
Pettersen, Bård Inge & Rekdal, Per Kristian (2021). Grunnleggende matematikk. Pytagoras forlag. ISBN 9788269236149. 138 p. Full text in Research Archive

View all works in NVA

Rekdal, Per Kristian & Pettersen, Bård Inge (2025). Ukultur. Panorama : nettavis for Høgskolen i Molde. Full text in Research Archive
Sætren, Malene Lunde; Rekdal, Per Kristian; Pettersen, Bård Inge; Kippernes, Mari Aandahl & Eikrem, Allan (2024). Stadig flere studerer over nett. [TV]. nrk.no/mr. Full text in Research Archive
Pettersen, Bård Inge & Lohaugen, Karianne (2021). Holder forkurs i matematikk. [Radio]. NRK P1 Møre og Romsdal. Full text in Research Archive
Langelo, Erik; Pettersen, Bård Inge & Rekdal, Per Kristian (2019). The profit-maximizing lot size problem with pricing lag effects. Full text in Research Archive 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. Full text in Research Archive 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. [Journal]. Romsdals Budstikke. Full text in Research Archive
Rekdal, Per Kristian & Pettersen, Bård Inge (2020). MAT110 Statistikk 1: Eksamensoppgaver 2012-2019. Høgskolen i Molde - Vitenskapelig høgskole i logistikk. Full text in Research Archive
Rekdal, Per Kristian & Pettersen, Bård Inge (2020). MAT110 Statistikk 1: Løsninger til eksamensoppgaver 2012-2019. Høgskolen i Molde - Vitenskapelig høgskole i logistikk. Full text in Research Archive
Rekdal, Per Kristian & Pettersen, Bård Inge (2019). MAT100 Matematikk : Kompendium 2019, del 3. Høgskolen i Molde - Vitenskapelig høgskole i logistikk. Full text in Research Archive
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. Full text in Research Archive
Rekdal, Per Kristian & Pettersen, Bård Inge (2019). MAT100 Matematikk : Kompendium 2019, del 2. Høgskolen i Molde - Vitenskapelig høgskole i logistikk. Full text in Research Archive
Pettersen, Bård Inge & Rekdal, Per Kristian (2018). SCM200 Lager- og produksjonsplanlegging : løsningsforslag til eksamensoppgaver 2015 - 2017. Høgskolen i Molde - Vitenskapelig høgskole i logistikk. Full text in Research Archive
Pettersen, Bård Inge (2018). SCM200 Lager- og produksjonsplanlegging : samlig av løsningforslag til øvingsoppgaver 2018. Høgskolen i Molde - Vitenskapelig høgskole i logistikk. Full text in Research Archive
Pettersen, Bård Inge & Rekdal, Per Kristian (2018). SCM200 Lager- og produksjonsplanlegging : eksamensoppgaver 2015 - 2017. Høgskolen i Molde - Vitenskapelig høgskole i logistikk. Full text in Research Archive
Pettersen, Bård Inge & Rekdal, Per Kristian (2018). SCM200 Lager- og produksjonsplanlegging : samlig av øvingsoppgaver 2018. Høgskolen i Molde - Vitenskapelig høgskole i logistikk. Full text in Research Archive
Pettersen, Bård Inge & Rekdal, Per Kristian (2017). SCM200 Lager- og produksjonsplanlegging : samlig av løsningforslag til øvingsoppgaver 2017. Høgskolen i Molde - Vitenskapelig høgskole i logistikk. Full text in Research Archive
Pettersen, Bård Inge & Rekdal, Per Kristian (2017). SCM200 Lager- og produksjonsplanlegging : samlig av øvingsoppgaver 2017. Høgskolen i Molde - Vitenskapelig høgskole i logistikk. Full text in Research Archive
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. Full text in Research Archive
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. Full text in Research Archive

View all works in NVA

Published Aug. 8, 2019 8:07 AM - Last modified Sep. 12, 2024 12:14 PM