Fuzzy Scheduling Problem on Two Machines

SawsanJawad Kadhum; AsmaaAbdAswhad; Niran Sabah Jasim

doi:https://doi.org/10.14445/22315373/IJMTT-V34P506

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 34 | Number 1 | Year 2016 | Article Id. IJMTT-V34P506 | DOI : https://doi.org/10.14445/22315373/IJMTT-V34P506

Fuzzy Scheduling Problem on Two Machines

SawsanJawad Kadhum, AsmaaAbdAswhad, Niran Sabah Jasim

Abstract

The main objective of this paper is to compute the total optimized penalty cost and to be minimizing in the fuzzy scheduling problem of the jobs on two machines. This total optimized penalty cost is composed of the total earliness and the total tardiness cost.

Keywords

Two Machines; fuzzy scheduling; total optimized penalty cost; total earliness cost; total tardiness cost.

References

[1] Sunita Gupta M.M.G.I Rambha (Karnal), “Single Machine Scheduling with Distinct Due Dates Under Fuzzy Environment”, International Journal of Enterprise Computing and Business Systems, Vol. 1 Issue 2, July 2011.
[2] VikasS.Jadhav and V.H.Bajaj, “Single Machine Scheduling Problem under Fuzzy Processing Time and Fuzzy Due Dates”,International Journal of Computer Engineering Science (IJCES), Vol. 2 Issue 5, May 2012.
[3] Sarin S.C. and Hariharan R., “A Two Machines Bicriteria Scheduling Problem”, International Journal of Production Economics, Vol.65, No.2, pp.125-139, 2000.
[4] KewalKrishan, Deepak Gupta and Sameer Sharma, “Fuzzy bi- Criteria Scheduling on Parallel Machines Involving Weighted Flow Time and Maximum”, Cogent Mathematics, Vol.2, pp.1-10, 2015.
[5] Yager R.R., “A procedure for Ordering Fuzzy Subsets of the Unit Interval”, Information Sciences, Vol.24, pp. 143-161, 1981.
[6] Helen R. and Sumathi R., “Solving Single Machine Scheduling Problem Using Type-2Trapezoidal Fuzzy Numbers”, International Journal of Innovative Research in Science Engineering and Technology, Vol.4, Issue 3, pp.1383-1391, 2015.
[7] Meenu Mittal, T.P.Singh and Deepak Gupta, “Bi-Objective Criteria in Two Machines Scheduling Problem with Fuzzy Due Date”, Aryabhatta Journal of Mathematics and Informatics, Vol.6, No.1, Jan-July, 2014.

Citation :

SawsanJawad Kadhum, AsmaaAbdAswhad, Niran Sabah Jasim, "Fuzzy Scheduling Problem on Two Machines," International Journal of Mathematics Trends and Technology (IJMTT), vol. 34, no. 1, pp. 23-27, 2016. Crossref, https://doi.org/10.14445/22315373/IJMTT-V34P506