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This paper considers heuristics for well known resource-constrained project scheduling problem (RCPSP). First a feasible schedule is constructed using randomized best insertion algorithm. The construction is followed by a local search where…

Discrete Mathematics · Computer Science 2007-05-23 Igor Pesek , Janez Žerovnik

We consider the problem of scheduling multiprocessor jobs to minimize the total completion time under the given energy budget. Each multiprocessor job requires more than one processor at the same moment of time. Processors may operate at…

Optimization and Control · Mathematics 2021-07-22 Alexander Kononov , Yulia Kovalenko

In scheduling problems, deterministic task durations are often assumed. This usually does not capture reality and may lead to schedules that are not robust to (small) changes to these task lengths. The use of stochastic task durations…

Optimization and Control · Mathematics 2026-05-25 Philip de Bruin , Bram Elderhorst , Marjan van den Akker , Han Hoogeveen

We propose three novel mathematical optimization formulations that solve the same two-type heterogeneous multiprocessor scheduling problem for a real-time taskset with hard constraints. Our formulations are based on a global scheduling…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-10-13 Mason Thammawichai , Eric C. Kerrigan

This article considers the parallel machine scheduling problem with step-deteriorating jobs and sequence-dependent setup times. The objective is to minimize the total tardiness by determining the allocation and sequence of jobs on identical…

Optimization and Control · Mathematics 2013-09-06 Peng Guo , Wenming Cheng , Yi Wang

In this letter, we consider the Multi-Robot Efficient Search Path Planning (MESPP) problem, where a team of robots is deployed in a graph-represented environment to capture a moving target within a given deadline. We prove this problem to…

Robotics · Computer Science 2021-01-14 Beatriz A. Asfora , Jacopo Banfi , Mark Campbell

This paper approaches the integrated lot sizing and scheduling problem (ILSSP), in which non-identical machines work in parallel with non-triangular sequence-dependent setup costs and times, setup carry-over and capacity limitation. The aim…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-01-14 Desiree M. Carvalho , Mariá C. V. Nascimento

Energy systems planning models identify least-cost strategies for expansion and operation of energy systems and provide decision support for investment, planning, regulation, and policy. Most are formulated as linear programming (LP) or…

Optimization and Control · Mathematics 2025-01-08 Anna Jacobson , Filippo Pecci , Nestor Sepulveda , Qingyu Xu , Jesse Jenkins

This paper proposes an optimization strategy to assist utility operators to recover power distribution systems after large outages. Specifically, a mixed-integer linear programming (MILP) model is developed for co-optimizing crews,…

Optimization and Control · Mathematics 2019-05-09 Anmar Arif , Zhaoyu Wang , Jianhui Wang , Chen Chen

In this paper, we investigate the Resource-Constrained Project Scheduling Problem (RCPSP) with time-of-use energy tariffs (TOU) and machine states, a variant of RCPSP for production scheduling where energy price is part of the criteria and…

Optimization and Control · Mathematics 2026-01-13 Corentin Juvigny , Antonín Novák , Jan Mandík , Zdeněk Hanzálek

Efficient management of aircraft MRO hangars requires the integration of spatial layout with time-continuous scheduling to minimize operational costs. We propose a continuous-time mixed-integer linear program that jointly optimizes aircraft…

Optimization and Control · Mathematics 2025-09-09 Shayan Farhang Pazhooh , Hossein Shams Shemirani

Resource-constrained project scheduling problems (RCPSP) are at the heart of many production planning problems across a plethora of applications. Although the problem has been studied since the early 1960s, most developments and test…

Optimization and Control · Mathematics 2022-09-07 Rodrigo A. Carrasco , Diego Fuentes , Eduardo Moreno

We transform join ordering into a mixed integer linear program (MILP). This allows to address query optimization by mature MILP solver implementations that have evolved over decades and steadily improved their performance. They offer…

Databases · Computer Science 2015-11-09 Immanuel Trummer , Christoph Koch

We study the scheduling of jobs on a single parallel-batching machine with non-identical job sizes and incompatible job families. Jobs from the same family have the same processing time and can be loaded into a batch, as long as the batch…

Optimization and Control · Mathematics 2021-02-04 Fan Yang , Morteza Davari , Wenchao Wei , Ben Hermans , Roel Leus

This paper examines scheduling problem denoted as $P|seq, ser|C_{max}$ in Graham's notation; in other words, scheduling of tasks on parallel identical machines ($P$) with sequence-dependent setups ($seq$) each performed by one of the…

Computer Science and Game Theory · Computer Science 2023-06-01 Vilém Heinz , Antonín Novák , Marek Vlk , Zdeněk Hanzálek

Local search is a widely used technique for tackling challenging optimization problems, offering significant advantages in terms of computational efficiency and exhibiting strong empirical behavior across a wide range of problem domains. In…

Data Structures and Algorithms · Computer Science 2025-05-14 Lars Rohwedder , Ashkan Safari , Tjark Vredeveld

The NP-hard scheduling problem P||C_max encompasses a set of tasks with known execution time which must be mapped to a set of identical machines such that the overall completion time is minimized. In this work, we improve existing…

Data Structures and Algorithms · Computer Science 2024-10-22 Matthew Akram , Nikolai Maas , Peter Sanders , Dominik Schreiber

Hybrid optimization algorithms have gained popularity as it has become apparent there cannot be a universal optimization strategy which is globally more beneficial than any other. Despite their popularity, hybridization frameworks require…

Neural and Evolutionary Computing · Computer Science 2013-03-15 Hassan A. Bashir , Richard S. Neville

The steelmaking continuous casting scheduling problem (SCCSP) is a critical and complex challenge in modern steel production, requiring the coordinated assignment and sequencing of steel charges across multiple production stages. Efficient…

Systems and Control · Electrical Eng. & Systems 2025-06-11 Yang Lv , Rong Hu , Bin Qian , Jian-Bo Yang

We present a number of novel algorithms, based on mathematical optimization formulations, in order to solve a homogeneous multiprocessor scheduling problem, while minimizing the total energy consumption. In particular, for a system with a…

Operating Systems · Computer Science 2015-11-13 Mason Thammawichai , Eric C. Kerrigan