Multimode Preemptive Resource Investment Problem Subject to Due Dates for Activities: Formulation and Solution Procedure
The preemptive Multimode resource investment problem is investigated. The Objective is to minimize the total renewable/nonrenewable resource costs and earliness-tardiness costs by a given project deadline and due dates for activities. In this problem setting preemption is allowed with no setup cost...
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| Published in | Advances in Operations Research Vol. 2014; no. 2014; pp. 143 - 152 |
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| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
Cairo, Egypt
Hindawi Limiteds
01.01.2014
Hindawi Publishing Corporation Hindawi Limited John Wiley & Sons, Inc |
| Subjects | |
| Online Access | Get full text |
| ISSN | 1687-9147 1687-9155 1687-9155 |
| DOI | 10.1155/2014/740670 |
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| Abstract | The preemptive Multimode resource investment problem is investigated. The Objective is to minimize the total renewable/nonrenewable resource costs and earliness-tardiness costs by a given project deadline and due dates for activities. In this problem setting preemption is allowed with no setup cost or time. The project contains activities interrelated by finish-start type precedence relations with a time lag of zero, which require a set of renewable and nonrenewable resources. The problem formed in this way is an NP-hard. A mixed integer programming formulation is proposed for the problem and parameters tuned genetic algorithm (GA) is proposed to solve it. To evaluate the performance of the proposed algorithm, 120 test problems are used. Comparative statistical results reveal that the proposed GA is efficient and effective in terms of the objective function and computational times. |
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| AbstractList | The preemptive Multimode resource investment problem is investigated. The Objective is to minimize the total renewable/nonrenewable resource costs and earliness-tardiness costs by a given project deadline and due dates for activities. In this problem setting preemption is allowed with no setup cost or time. The project contains activities interrelated by finish-start type precedence relations with a time lag of zero, which require a set of renewable and nonrenewable resources. The problem formed in this way is an NP-hard. A mixed integer programming formulation is proposed for the problem and parameters tuned genetic algorithm (GA) is proposed to solve it. To evaluate the performance of the proposed algorithm, 120 test problems are used. Comparative statistical results reveal that the proposed GA is efficient and effective in terms of the objective function and computational times. |
| Audience | Academic |
| Author | Afshar-Nadjafi, Behrouz Arani, Mohammad |
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| Copyright | Copyright © 2014 Behrouz Afshar-Nadjafi and Mohammad Arani. COPYRIGHT 2014 Hindawi Limited Copyright © 2014 Behrouz Afshar-Nadjafi and Mohammad Arani. Behrouz Afshar-Nadjafi et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. |
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| SubjectTerms | Costs Due dates Financing Fines & penalties Formulations Genetic algorithms Heuristic Integer programming Investment Investments Mathematical models Nonrenewable resources Operations research Optimization Preempting Production scheduling Project management Renewable resources Scheduling |
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| Title | Multimode Preemptive Resource Investment Problem Subject to Due Dates for Activities: Formulation and Solution Procedure |
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