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12
A Survey of Scheduling Problems with Setup Times or Costs
"... The first comprehensive survey paper on scheduling problems with separate setup times or costs was conducted by Allahverdi et al. (1999), who reviewed the literature since the mid1960s. Since the appearance of that survey paper, there has been an increasing interest in scheduling problems with setu ..."
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Cited by 104 (5 self)
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The first comprehensive survey paper on scheduling problems with separate setup times or costs was conducted by Allahverdi et al. (1999), who reviewed the literature since the mid1960s. Since the appearance of that survey paper, there has been an increasing interest in scheduling problems with setup times (costs) with an average of more than 40 papers per year being added to the literature. The objective of this paper is to provide an extensive review of the scheduling literature on models with setup times (costs) from then to date covering more than 300 papers. Given that so many papers have appeared in a short time, there are cases where different researchers addressed the same problem independently, and sometimes by using even the same technique, e.g., genetic algorithm. Throughout the paper we identify such areas where independently developed techniques need to be compared. The paper classifies scheduling problems into those with batching and nonbatching considerations, and with sequenceindependent and sequencedependent setup times. It further categorizes the literature according to shop environments, including singlemachine, parallel machines, flow shop, nowait flow shop, flexible flow shop, job shop, open shop, and others.
A new exact solution algorithm for the job shop problem with sequencedependent setup times
 In: J.C. Regin and M. Rueher (Eds.), 1st International Conference on Integration of AI and OR Techniques in Constraint Programming for Combinatorial Optimization Problems, Lecture Note in Computer Science
, 2004
"... Abstract. We propose a new solution approach for the Job Shop Problem with Sequence Dependent Setup Times (SDSTJSP). The problem consists in scheduling jobs, each job being a set of elementary operations to be processed on different machines. The objective pursued is to minimize the completion ti ..."
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Cited by 9 (3 self)
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Abstract. We propose a new solution approach for the Job Shop Problem with Sequence Dependent Setup Times (SDSTJSP). The problem consists in scheduling jobs, each job being a set of elementary operations to be processed on different machines. The objective pursued is to minimize the completion time of the set of operations. We investigate a relaxation of the problem related to the traveling salesman problem with time windows (TSPTW). Our approach is based on a Branch and Bound procedure, including constraint propagation and using this relaxation. It compares favorably over the best available approaches from the literature on a set of benchmark instances. 1
JobShop Scheduling Problem With Sequence Dependent Setup Times
"... Abstract — The majority of researches on scheduling assume setup times negligible or as a part of the processing time. In this paper, job shop scheduling with sequence dependent setup times is considered. After defining the problem, a mathematical model is developed. Implementing the mathematical mo ..."
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Abstract — The majority of researches on scheduling assume setup times negligible or as a part of the processing time. In this paper, job shop scheduling with sequence dependent setup times is considered. After defining the problem, a mathematical model is developed. Implementing the mathematical model in large problems presents a weak performance to find the optimum results in reasonable computational times. Although the proposed mathematical model presents a good performance to obtain feasible solutions, it is unable to reach the optimum results in larger problems. Thus, a heuristic model based on priority rules is developed. Because of the inability to find optimum solutions in reasonable computational times, 3 different innovative lower bounds are developed, which could be implemented to evaluate different heuristics and metaheuristics in large problems. The performance of the heuristic model evaluated with a wellknown example in the literature insures that the model seems to have a strong ability to solve jobshop scheduling with sequence dependent setup times problems and to obtain good solutions in reasonable computational times. Keywords: Jobshop scheduling, Heuristic model, , Priority rules, Mathematical model
SequenceDependent Setup Times in a TwoMachine JobShop with Minimizing the Schedule Length
, 2006
"... AbstractThis article addresses the jobshop problem of minimizing the schedule length (makespan) for processing n jobs on two machines with sequencedependent setup times and removal times. The processing of each job includes at most two operations that have to be nonpreemptive. Machine routes may ..."
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AbstractThis article addresses the jobshop problem of minimizing the schedule length (makespan) for processing n jobs on two machines with sequencedependent setup times and removal times. The processing of each job includes at most two operations that have to be nonpreemptive. Machine routes may differ from job to job. If all setup and removal times are equal to zero, this problem is polynomially solvable via Jackson's permutations, otherwise it is NPhard even if each of n jobs consists of one operation on the same machine. We present sufficient conditions when Jackson’s permutations may be used for solving the twomachine jobshop problem with sequencedependent setup times and removal times. For the general case of this problem, the results obtained provide polynomial lower and upper bounds for the makespan which are used in a branchandbound algorithm. Computational experiments show that an exact solution for this problem may be obtained in a suitable time for n ≤ 280. We also develop a heuristic algorithm and present a worst case analysis. KeywordsScheduling theory, Setup, Jobshop 1.
Algorithm for Solving Job Shop Scheduling Problem Based on machine availability constraint
"... Abstract—Typically, general job shop scheduling problems assume that working times of machines are equal, for instance eight hours a day. However, in real factories, these working times are different because the machines may have different processing speeds, or they may require maintenance. That is, ..."
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Abstract—Typically, general job shop scheduling problems assume that working times of machines are equal, for instance eight hours a day. However, in real factories, these working times are different because the machines may have different processing speeds, or they may require maintenance. That is, one machine may need to be operated only half day whereas other machines may have to be operated for the entire day. So, each machine has its own working time window. In this paper, this type of problem is referred to as a job shop scheduling problem based on machine availability constraint which is more complex than typical job shop scheduling problems. In the previous research, this type of problem has been rarely investigated before. Thus a new algorithm is developed based on a nondelay scheduling heuristic by adding machine availability constraint to solve job shop scheduling problem with minimize makespan objective. The newly developed algorithm with the machine availability constraint assumption is more realistic. The study reveals the result of algorithm that consider machine availability constraint is better than the result of algorithm that ignores machine availability constraint when apply to the real problem. KeywordsJob shop scheduling; algorithm; heuristic; optimization; nondelay scheduling; machine availability constraint I.
Optimization in Job Shop Scheduling Using Alternative Routes
, 2002
"... Alternative Routes. (Under the direction of Dr. Russell King.) The ability of a production system to complete orders on time is a critical measure of customer service. While there is typically a preferred routing for a job through the processing machines, often an alternative route is available that ..."
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Alternative Routes. (Under the direction of Dr. Russell King.) The ability of a production system to complete orders on time is a critical measure of customer service. While there is typically a preferred routing for a job through the processing machines, often an alternative route is available that can be used to avoid bottleneck operations and improve due date performance. In this paper a heuristic approach is given to dynamically select routing alternatives for a set of jobs to be processed in a job shop. The approach is coupled with a job shop scheduling algorithm
National Academy of Sciences of Belarus,
"... Abstract: This article addresses the jobshop problem of minimizing the schedule length (makespan) for processing n jobs on two machines with sequencedependent setup and removal times. The processing of each job includes at most two operations that have to be nonpreemptive. Machine routes may diff ..."
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Abstract: This article addresses the jobshop problem of minimizing the schedule length (makespan) for processing n jobs on two machines with sequencedependent setup and removal times. The processing of each job includes at most two operations that have to be nonpreemptive. Machine routes may differ from job to job. If all setup and removal times are equal to zero, this problem is polynomially solvable via Jackson's pair of job permutations, otherwise it is NPhard even if each of n jobs consists of one operation on the same machine. We present sufficient conditions when Jackson's pair of permutations may be used for solving the twomachine jobshop problem with sequencedependent setup and removal times. For the general case of this problem, the results obtained provide polynomial lower and upper bounds for the objective function value which are used in a branchandbound algorithm. Computational experiments show that an exact solution for this problem may be obtained in a suitable time for n ≤ 280. We also develop a heuristic algorithm and present a worst case analysis for it.
sequencedependent
, 2005
"... branch and bound method for the jobshop problem with ..."
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