Minimizing Makespan on Single Machine with Release Dates
نویسندگان
چکیده
This paper considers the single criterion scheduling problem of minimizing makespan on a single machine with release dates. The problem is, by nature, NP-Hard, hence approximation algorithms are desired in order to solve the problem. An algorithm (called NAL) is proposed for the problem. The NAL algorithm is compared with the branch and bound (BB) method and a test algorithm (AEO) selected from the literature. The three solution methods were tested on a set of randomly generated problems (ranging from 10 to 500 jobs). Experimental results show that the proposed algorithm performed competitively with the BB method and outperformed the AEO algorithm.
منابع مشابه
Minimizing the Sum of Makespan and Maximum Tardiness on Single Machine with Release Dates
This paper considers the bicriteria scheduling problem of simultaneously minimizing makespan (Cmax) and maximum tardiness (Tmax) on a single machine with release dates. The problem is, by nature, NP-Hard. Therefore, one approximation algorithm (labeled as CTA1) was proposed for solving this problem. The CTA1 algorithm was compared with the Branch and Bounds (BB) procedure specifically implement...
متن کاملMinimizing Makespan and Total Completion Time Criteria on a Single Machine with Release Dates
1 Department of Computer Science University for Development Studies, Ghana 2 Department of Industrial and Production Engineering University of Ibadan, Nigeria Corresponding Author: E. O. Oyetunji _________________________________________________________________________________________________ Abstract This paper considers the scheduling problem of simultaneously minimizing the makespan and tota...
متن کاملFast approximation schemes for Boolean programming and scheduling problems related to positive convex Half-Product
We address a version of the Half-Product Problem and its restricted variant with a linear knapsack constraint. For these minimization problems of Boolean programming, we focus on the development of fully polynomial-time approximation schemes with running times that depend quadratically on the number of variables. Applications to various single machine scheduling problems are reported: minimizin...
متن کاملMinimizing Total Weighted Tardiness with Drop Dead Dates in Single Machine Scheduling Problem
This paper deals with minimization of tardiness in single machine scheduling problem when each job has two different due-dates i.e. ordinary due-date and drop dead date. The drop dead date is the date in which jobs’ weights rise sharply or the customer cancels the order. A linear programming formulation is developed for the problem and since the problem is known to be NP-hard, three heuristic...
متن کاملMinimizing Total Completion Time Subject to Job Release Dates and Preemption Penalties
Extensive research has been devoted to preemptive scheduling. However, little attention has been paid to problems where a certain time penalty must be incurred if preemption is allowed. In this paper, we consider the single-machine scheduling problem of minimizing the total completion time subject to job release dates and preemption penalties, where each time a job is started, whether initially...
متن کامل