Simulating Theory-of-Constraint Problem with a Novel Fuzzy Compromise Linear Programming Model

Abstract

This chapter demonstrates development o f a novel compromise linear programming having fuzzy resources (CLPFR) model as well as its simulation fo r a theory-of-constraints ’(TOC) product mix problem using ALATLAB® v. 7.04 R. 14 SP2 software. The product-mix problem considers multiple constraint resources. The developed CLPFR model helps in finding a robust solution with better profit and product mix solution in a non-bottleneck situation. The authors simulate the level o f satisfaction o f the decision maker (DM) as well as the degree o f fuzziness o f the solution found using the CLPFR model. Simulations have been carried out with AMTLAB® v. 7.04 R. 14 SP2 software. Ln reality, the capacities available fo r some resources are not always precise. Some tolerances should be allowed on some constraints. This situation reflects the fuzziness in the a\>ailability o f resources o f the TOC product mix problem.