The Problem of Using the Calculation of the Critical Path to Solver Instances of the Job Shop Scheduling Problem
نویسندگان
چکیده
A procedure commonly used in Job Shop Scheduling Problem (JSSP) to evaluate the neighborhoods functions that use the non-deterministic algorithms is the calculation of the critical path in a digraph. This paper presents an experimental study of the cost of computation that exists when the calculation of the critical path in the solution for instances in which a JSSP of large size is involved. The results indicate that if the critical path is use in order to generate neighborhoods in the meta-heuristics that are used in JSSP, an elevated cost of computation exists in spite of the fact that the calculation of the critical path in any digraph is of polynomial complexity. Keywords— Job Shop, CPM, critical path, neighborhood, metaheuristic.
منابع مشابه
Critical Path Method for Flexible Job Shop Scheduling Problem with Preemption
This paper addressed a Flexible Job shop Scheduling Problem (FJSP) with the objective of minimization of maximum completion time (Cmax) which job splitting or lot streaming is allowed. Lot streaming is an important technique that has been used widely to reduce completion time of a production system. Due to the complexity of the problem; exact optimization techniques such as branch and bound alg...
متن کاملTrain Scheduling Problem with Consideration of Praying Constraint as an Application of Job Shop Scheduling Problem
The present paper extends the idea of job shop scheduling problem with resting constraints to the train scheduling problem with the Muslim praying considerations. For this purpose, after proposing the new mathematical model, a heuristic algorithm based on the Electromagnetism-Like algorithm (EM) which is well adjusted to scheduling problems is employed to solve the large-size practical cases. T...
متن کاملThe Problem of Using the Calculation of the Critical Path to Solver Instances of the Job Shop Scheduling Problem
Problem (JSSP) to evaluate the neighborhoods functions that use the non-deterministic algorithms is the calculation of the critical path in a digraph. This paper presents an experimental study of the cost of computation that exists when the calculation of the critical path in the solution for instances in which a JSSP of large size is involved. The results indicate that if the critical path is ...
متن کاملThe Problem of Using the Calculation of the Critical Path to Solver Instances of the Job Shop Scheduling Problem
A procedure commonly used in Job Shop Scheduling Problem (JSSP) to evaluate the neighborhoods functions that use the non-deterministic algorithms is the calculation of the critical path in a digraph. This paper presents an experimental study of the cost of computation that exists when the calculation of the critical path in the solution for instances in which a JSSP of large size is involved. T...
متن کاملAn integrated approach for scheduling flexible job-shop using teaching–learning-based optimization method
In this paper, teaching–learning-based optimization (TLBO) is proposed to solve flexible job shop scheduling problem (FJSP) based on the integrated approach with an objective to minimize makespan. An FJSP is an extension of basic job-shop scheduling problem. There are two sub problems in FJSP. They are routing problem and sequencing problem. If both the sub problems are solved simultaneously, t...
متن کامل