The total adjustment cost problem: Applications, models, and solution algorithms

Kreter, Stefan; Rieck, Julia; Zimmermann, Jürgen

doi:10.1007/s10951-013-0344-y

Cited by 21 publications

(4 citation statements)

References 25 publications

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“…The algorithm presented by Rieck et al (2012) is one of the best methods for the problem of total overhead cost and classical resource levelling. While the model presented by Kreter et al (2014) is one of the best models for solving problems with the resource levelling objective function, the whole settings are to minimize fluctuations in resource consumption. Further reading can be found in Schwindt and Zimmermann (2015).…”

Section: Literature Reviewmentioning

confidence: 99%

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Resource levelling in projects considering different activity execution modes and splitting

Khalilzadeh

2021

JEDT

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Purpose This study aims to develop a mathematical programming model for preemptive multi-mode resource-constrained project scheduling problems in construction with the objective of levelling resources considering renewable and non-renewable resources. Design/methodology/approach The proposed model was solved by the exact method and the genetic algorithm integrated with the solution modification procedure coded with MATLAB software. The Taguchi method was applied for setting the parameters of the genetic algorithm. Different numerical examples were used to show the validation of the proposed model and the capability of the genetic algorithm in solving large-sized problems. In addition, the sensitivity analysis of two parameters, including resource factor and order strength, was conducted to investigate their impact on computational time. Findings The results showed that preemptive activities obtained better results than non-preemptive activities. In addition, the validity of the genetic algorithm was evaluated by comparing its solutions to the ones of the exact methods. Although the exact method could not find the optimal solution for large-scale problems, the genetic algorithm obtained close to optimal solutions within a short computational time. Moreover, the findings demonstrated that the genetic algorithm was capable of achieving optimal solutions for small-sized problems. The proposed model assists construction project practitioners with developing a realistic project schedule to better estimate the project completion time and minimize fluctuations in resource usage during the entire project horizon. Originality/value There has been no study considering the interruption of multi-mode activities with fluctuations in resource usage over an entire project horizon. In this regard, fluctuations in resource consumption are an important issue that needs the attention of project planners.

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Section: Literature Reviewmentioning

confidence: 99%

“…The third objective function is minimizing the total adjustment cost. This objective function examines how much additional costs a project will incur if changes are made to the construction project to increase or decrease the consumption of resources during that period and consequently the level of the resources (Kreter et al , 2014).…”

Section: Literature Reviewmentioning

confidence: 99%

Resource levelling in projects considering different activity execution modes and splitting

Khalilzadeh

2021

JEDT

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“…With Model RRH, we provide a mixed-integer linear model for this new metric in Section 3.2. Kreter et al [14] model and investigate the Total Adjustment Cost problem where the cost function is different than RRH metric and only penalizes weighted positive adjustments in resource levels.…”

Section: Leveling Metrics With Variable Project Durationmentioning

confidence: 99%

Optimal project duration for resource leveling

Atan

Eren

2018

European Journal of Operational Research

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Resource leveling is important in project management as resource fluctuations are costly and undesired. Typically, schedules with better resource profiles are obtained using the schedule found by Critical Path Method and then shifting the activities within their float times. However, if the project duration can be extended, it is plausible to find a schedule with enhanced resource leveling since a longer duration allows for more float time for all activities. In this thesis, we investigate what the duration for the best leveled schedule should be. We provide mixed-integer linear models for several objectives including the Release and Rehire metric. We show that not all metrics used for leveling under fixed durations may be appropriate when the project duration becomes a decision variable. Optimal solutions from smaller problems are used to find the magnitude of the extension needed and benefits obtained thereby. Since the problem is a NP-hard problem for which exact solutions cannot be obtained for big networks, we modify Burgess-Killebrew heuristic to solve larger problems.Computational experiments with benchmark problems from the literature indicate that the more the number of resource types is increased, the less leveling benefits are gained from extending the project. The optimal project durations can also be significantly different for different metrics.

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“…The fourth area is oriented towards savings and better economical acceptance. In this area, there can be found several studies about reducing the costs and reducing power consumption [9,15,28,29,39,43].…”

Section: The Basics Of Virtual Factorymentioning

confidence: 99%

An innovative training of production planners through virtual production performing

et al. 2016

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Original scientific paper Nowadays the production process with as few as possible deadlocks is the most important goal of management in every company. An optimized production process can be reached with well-trained personnel and especially with well-trained schedule planners. In this contribution, a new strategy on how to train production planners for different types of production by using virtual factory is presented. Also, two specially developed parametric simulation models for typical make-to-order and large-scale types of production are presented. Every model describes the real production process in detail so that it enables the observation of responses to the different input data. In the first step, the strategy covers the training of personnel so that they learn how varied input data reflect in the output results. The second strategy step is supporting schedule planning by using virtual factory where variants of schedule plans are tested much earlier than the real production process is performed. Keywords: modelling; optimization; simulation; schedule plan; training; virtual factory Inovativna obuka za planere proizvodnje kroz odvijanje virtualne proizvodnjeIzvorni znanstveni članak Danas je proces proizvodnje s najmanje zastoja najvažniji cilj upravljanja u svakom poduzeću. Optimizirani proces proizvodnje može se postići s dobro obučenim osobljem i osobito s dobro obučenim planerima proizvodnje. U ovom članku predstavljena je nova strategija treniranja planera proizvodnje za više tipova proizvodnje uz korištenje virtualne tvornice. Također su prikazana dva posebno razvijena parametarska simulacijska modela za tipične vrste pojedinačne i velikoserijske proizvodnje. Svaki model opisuje stvarni proizvodni proces u detalje i tako omogućuje promatranje odgovora na različite ulazne podatke. U prvom koraku ova strategija obuhvaća obuku osoblja, da nauče kako se različiti ulazni podaci odražavaju u izlaznim rezultatima. Drugi korak ove strategije je podupiranje planiranja proizvodnje uz pomoć virtualne tvornice, u kojoj se varijante proizvodnog plana testiraju mnogo ranije nego što se realni proizvodni proces odvije.

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The total adjustment cost problem: Applications, models, and solution algorithms

Cited by 21 publications

References 25 publications

Resource levelling in projects considering different activity execution modes and splitting

Resource levelling in projects considering different activity execution modes and splitting

Optimal project duration for resource leveling

An innovative training of production planners through virtual production performing

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