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Full-Text Articles in Business
Period Decompositions For The Capacitated Lot Size Problem With Setup Times, Silvio Alexandre De Araujo, Bert De Reyck, Zeger Degraeve, Ioannis Fragkos, Raf Jans
Period Decompositions For The Capacitated Lot Size Problem With Setup Times, Silvio Alexandre De Araujo, Bert De Reyck, Zeger Degraeve, Ioannis Fragkos, Raf Jans
Research Collection Lee Kong Chian School Of Business
We study the multi-item capacitated lot sizing problem with setup times. Based on two strong reformulations of the problem, we present a transformed reformulation and valid inequalities that speed up column generation and Lagrange relaxation. We demonstrate computationally how both ideas enhance the performance of our algorithm and show theoretically how they are related to dual space reduction techniques. We compare several solution methods and propose a new efficient hybrid scheme that combines column generation and Lagrange relaxation in a novel way. Computational experiments show that the proposed solution method for finding lower bounds is competitive with textbook approaches and …
A Hybrid Scatter Search/Electromagnetism Meta-Heuristic For Project Scheduling, Dieter Debels, Bert De Reyck, Roel Leus, Mario Vanhoucke
A Hybrid Scatter Search/Electromagnetism Meta-Heuristic For Project Scheduling, Dieter Debels, Bert De Reyck, Roel Leus, Mario Vanhoucke
Research Collection Lee Kong Chian School Of Business
In the last few decades, several effective algorithms for solving the resource-constrained project scheduling problem have been proposed. However, the challenging nature of this problem, summarised in its strongly NP-hard status, restricts the effectiveness of exact optimisation to relatively small instances. In this paper, we present a new meta-heuristic for this problem, able to provide near-optimal heuristic solutions for relatively large instances. The procedure combines elements from scatter search, a generic population-based evolutionary search method, and from a recently introduced heuristic method for the optimisation of unconstrained continuous functions based on an analogy with electromagnetism theory. We present computational …
The Multi– Mode Resource– Constrained Project Scheduling Problem With Generalized Precedence Relations, Bert De Reyck, Willy Herroelen
The Multi– Mode Resource– Constrained Project Scheduling Problem With Generalized Precedence Relations, Bert De Reyck, Willy Herroelen
Research Collection Lee Kong Chian School Of Business
In this paper, we tackle the challenging problem of scheduling activities to minimize the project duration, in which the activities (a) are subject to generalized precedence relations, (b) require units of multiple renewable, non-renewable and doubly constrained resources for which a limited availability is imposed, and (c) can be performed in one of several different ways, reflected in multiple activity scenarios or modes. These multiple modes give rise to several kinds of tradeoffs (time/resource, time/cost and resource/resource trade-offs) which allow for a more effcient allocation and use of resources. We present a local search-based solution methodology which is able to …