An Optimal Solution to the Linear Programming Problem Using Lingo Solver: A Case Study of an Apparel Production Plant of Sri Lanka

Mohamed Silmi Juman Zeinul Abdeen

Abstract


Linear Programming Problem is about minimizing the production cost of t-shirts of the production plant while satisfying its limitations. This paper presents a large scale Linear Programming Model to provide a fully functional Cost Effective System finding optimum number of machine operators and workers in each of its departments as well as finding optimum raw material for the entire t-shirts production. The model is tested by applying to an apparel production plant (Silk Line (pvt) Ltd). The solution of the model is found using the commercial software package called “LINGO SOLVERâ€. Moreover, a sensitivity analysis is performed to complete the target (entire t-shirts production) within a given specific period of time.


Keywords


Linear Programming Problem; Optimum number of machine operators; Lingo Solver; Sensitivity analysis.

Full Text:

PDF

References


James, P.I. and Tom, M.C. (1994), Linear Programming. Prentice, Hall, Inc.

Brain, D.B. (1984) Basic Linear Programming. London, Spottiswoode Ballantyne Ltd.

Dantzig, G.B, (1963), Linear Programming and extensions, Princeton, NJ: Princeton University press.

Taha Hamdy A. (2006), Operation Research: An introduction, Prentice-Hall of India, 8th edition.

Karmarkar, N. (1984), A new polynomial time algorithm for linear programming, combinatorial, 4, 373-395.

Zhang, Y. (1996), Solving large scale linear programming by interior point method under MATLAB environment, Technical report, Mathematics Department, University of Maryland, Baltimore Country.

Terlaky, T. and Boggs, P.T., (2005), Interior point methos, Faculty of information technology, Delft. Netherlands.

Fourer, R. (2001), Survey of linear programming software, OR/MS today, 58-68.


Refbacks

  • There are currently no refbacks.


ISSN: 1694-2507 (Print)

ISSN: 1694-2108 (Online)