Permutation flow shops with exact time lags to minimise maximum lateness

International audienceIn this paper we investigate the m-machine permutation flow shop scheduling problem where exact time lags are defined between consecutive operations of every job. This generic model can be used for the study and analysis of various real situations that may arise, for instance, in the food-producing, pharmaceutical and steel industries. The objective is to minimise the maximum lateness. We study polynomial special cases and provide a dominance relation. We derive lower and upper bounds that are integrated in a branch-and-bound procedure to solve the problem. Three branching schemes are proposed and compared. We perform a computational analysis to evaluate the efficiency of the developed method

NP-complétude du problème du flowshop à deux machines avec des opérations couplées

International audienceDans ce travail, Nous considérons le problème du flowshop à deux machines avec des opérations couplées.Chaque tâche est composée de deux opérations couplées sur la première machine séparées par un délai exact et d'une seule opération sur la deuxième machine. L'objectif est de minimiser le makespan. Nous étudions la complexité d'un sous problème et nous montrons qu'il est NP-difficile. Pour la résolution du problème général, nous proposons des heuristiques avec des expérimentations numériques et nous présentons des sous problèmes polynomiaux

Four decades of research on the open-shop scheduling problem to minimize the makespan

One of the basic scheduling problems, the open-shop scheduling problem has a broad range of applications across different sectors. The problem concerns scheduling a set of jobs, each of which has a set of operations, on a set of different machines. Each machine can process at most one operation at a time and the job processing order on the machines is immaterial, i.e., it has no implication for the scheduling outcome. The aim is to determine a schedule, i.e., the completion times of the operations processed on the machines, such that a performance criterion is optimized. While research on the problem dates back to the 1970s, there have been reviving interests in the computational complexity of variants of the problem and solution methodologies in the past few years. Aiming to provide a complete road map for future research on the open-shop scheduling problem, we present an up-to-date and comprehensive review of studies on the problem that focuses on minimizing the makespan, and discuss potential research opportunities

Theoretical and Computational Research in Various Scheduling Models

Nine manuscripts were published in this Special Issue on “Theoretical and Computational Research in Various Scheduling Models, 2021” of the MDPI Mathematics journal, covering a wide range of topics connected to the theory and applications of various scheduling models and their extensions/generalizations. These topics include a road network maintenance project, cost reduction of the subcontracted resources, a variant of the relocation problem, a network of activities with generally distributed durations through a Markov chain, idea on how to improve the return loading rate problem by integrating the sub-tour reversal approach with the method of the theory of constraints, an extended solution method for optimizing the bi-objective no-idle permutation flowshop scheduling problem, the burn-in (B/I) procedure, the Pareto-scheduling problem with two competing agents, and three preemptive Pareto-scheduling problems with two competing agents, among others. We hope that the book will be of interest to those working in the area of various scheduling problems and provide a bridge to facilitate the interaction between researchers and practitioners in scheduling questions. Although discrete mathematics is a common method to solve scheduling problems, the further development of this method is limited due to the lack of general principles, which poses a major challenge in this research field

Sessenta anos de Shop Scheduling : uma revisão sistemática da literatura

Orientador : Prof. Dr. Cassius Tadeu ScarpinDissertação (mestrado) - Universidade Federal do Paraná, Setor de Tecnologia, Programa de Pós-Graduação em Engenharia de Produção. Defesa: Curitiba, 09/02/2017Inclui referências : f. 449-492Resumo: Desde o seminal artigo de Johnson em 1954, a Programação da Produção em Shop Scheduling tem se tornado uma área relevante dentro da Pesquisa Operacional e, atualmente, duzentos trabalhos tangentes à temática são publicados anualmente. Dentre os artigos aqui citados tem-se aqueles que se dedicam à apresentação e síntese do estado da arte desse assunto, intitulados artigos de revisão. Quando tais artigos são elaborados a partir de um conjunto objetivo de critérios, relativos à categorização dos artigos selecionados, tem-se a Revisão Sistemática da Literatura (RSL). O presente trabalho realiza uma RSL em Shop Scheduling, a partir da análise de cada ambiente fabril que o compõe. Fez-se o escrutínio de 560 artigos, à luz de um conjunto de métricas, que constitui a estrutura basilar da proposta de nova taxonomia do Shop Scheduling, complementar à notação de Graham, objetivo fulcral do presente trabalho. Além disso, utilizou-se uma representação em redes dos resultados obtidos em algumas das métricas empregadas, como a característica dos itens, algo outrora inaudito em estudos de revisão desse assunto. Ademais, outro ponto relevante desse estudo repousa na identificação de campos pouco explorados, de modo a colaborar com a pesquisa futura neste tomo. Palavras-chave: Shop Scheduling. Revisão Sistemática da Literatura. Taxonomia. Representação em Redes.Abstract: Since Johnson's seminal article in 1954, Shop Scheduling in Production Scheduling has become a relevant area within Operational Research, and currently hundreds of tangential works on the subject are published annually. Among the articles cited here are those dedicated to the presentation and synthesis of the state of the art of this subject, which are entitled review articles. When these articles are elaborated from an objective set of criteria, regarding the categorization of the selected articles, we have the Systematic Review of Literature (SLR). The present work performs a SLR in Shop Scheduling, based on the analysis of each manufacturing environment that composes it. There were 560 articles scrutinized based on a set of metrics, which is the basic structure of the proposed new Taxonomy of Shop Scheduling, complementary to Graham's notation, the main objective of this work. In addition to that a network representation of the results was obtained in some of the metrics used, such as the job characteristics, something previously unheard of in review studies of this subject. Moreover, another relevant point of this study lies in the identification of less explored fields in order to collaborate with future research in this matter. Keywords: Shop Scheduling. Systematic Literature Review. Taxonomy. Network Representation

Self Synchronization of Moving Vehicles

Title from PDF of title page, viewed on January 27, 2017Dissertation advisor: Vijay KumarIncludes bibliographical references (pages 112-116)Thesis (Ph.D.)--School of Computing and Engineering. University of Missouri--Kansas City, 2015In this dissertation, we investigate and develop a novel scheduling scheme for conflict-free movement of vehicles at road intersections. We claim that our scheduling scheme not only guarantees conflict-free movement at any intersection, it also provides nonstop movement for the maximum possible number of vehicles at multiple intersections on its route. If it is not possible to provide a nonstop movement to a vehicle, the proposed scheme works to minimize the waiting time for each of the vehicles at an intersection. At present, traffic signals manage (synchronize) the conflict-free movement of vehicles on road intersections (common resource). These signals enforce the traffic rules to manage conflict-free movement of vehicles. Each side of traffic is allotted a stipulated time slot for crossing the intersection. The existing traffic signal scheme works well; however, it has a number of issues. These include the effect of changing traffic volume on traffic flow and indecisiveness of human drivers, etc., which can be eliminated by using state of the art technology. Motivated by the need of improving conflict-free traffic flow at road intersections, a large number of commercial and academic institutions have been taking a serious interest in solving some of these issues. One of the main approaches is to create a virtual environment so that information of traffic on an intersection can be transmitted to adjacent intersections in order to provide stoppage free movement of vehicles. In this dissertation, we investigate the traffic regulation problem from the point of view of “scheduling vehicle movement at road intersections”. We develop innovative scheduling schemes that require minimum human intervention in conflict-free traffic movement at intersections. This leads to the mechanism of self-synchronization of vehicles at these intersections in which conflicting vehicles mutually synchronize their movement using real-time contextual information. In self synchronization approach, vehicles that use the shared resources (intersections) communicate with each other and make a decision who will utilize the resource first based on a fair scheduling algorithm. To investigate and develop our fair scheduling algorithm, contextual information related to each of the vehicles must be exchanged among the vehicles in real-time. Existing communication protocols that are based on collision avoidance (of data packets) or collision detection and resolution may not work satisfactorily. The self-synchronization scheme generates a very dynamic, rapidly changing network of vehicles that requires a unique protocol for reliable real time data communication. So we have developed a new protocol for exchanging contextual information among vehicles.Introduction -- Review of existing works -- Introduction to self-synchronization -- Self-synchronization solution -- Self-synchronization simulation and statistics -- Proof of concept -- Conclusion -- Annexure

The scheduling of manufacturing systems using Artificial Intelligence (AI) techniques in order to find optimal/near-optimal solutions.

This thesis aims to review and analyze the scheduling problem in general and Job Shop Scheduling Problem (JSSP) in particular and the solution techniques applied to these problems. The JSSP is the most general and popular hard combinational optimization problem in manufacturing systems. For the past sixty years, an enormous amount of research has been carried out to solve these problems. The literature review showed the inherent shortcomings of solutions to scheduling problems. This has directed researchers to develop hybrid approaches, as no single technique for scheduling has yet been successful in providing optimal solutions to these difficult problems, with much potential for improvements in the existing techniques. The hybrid approach complements and compensates for the limitations of each individual solution technique for better performance and improves results in solving both static and dynamic production scheduling environments. Over the past years, hybrid approaches have generally outperformed simple Genetic Algorithms (GAs). Therefore, two novel priority heuristic rules are developed: Index Based Heuristic and Hybrid Heuristic. These rules are applied to benchmark JSSP and compared with popular traditional rules. The results show that these new heuristic rules have outperformed the traditional heuristic rules over a wide range of benchmark JSSPs. Furthermore, a hybrid GA is developed as an alternate scheduling approach. The hybrid GA uses the novel heuristic rules in its key steps. The hybrid GA is applied to benchmark JSSPs. The hybrid GA is also tested on benchmark flow shop scheduling problems and industrial case studies. The hybrid GA successfully found solutions to JSSPs and is not problem dependent. The hybrid GA performance across the case studies has proved that the developed scheduling model can be applied to any real-world scheduling problem for achieving optimal or near-optimal solutions. This shows the effectiveness of the hybrid GA in real-world scheduling problems. In conclusion, all the research objectives are achieved. Finaly, the future work for the developed heuristic rules and the hybrid GA are discussed and recommendations are made on the basis of the results.Board of Trustees, Endowment Fund Project, KPK University of Engineering and Technology (UET), Peshawar and Higher Education Commission (HEC), Pakista