2010
DOI: 10.5120/1510-1690
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Solution of Chance Constrained Programming Problem for Multi-Objective Interval Solid Transportation Problem under Stochastic Environment Using Fuzzy Approach

Abstract: In this paper, a solution procedure has been given for the Chance Constrained Programming Models For Multi-Objective Interval Solid Transportation Problem under stochastic environment (MOISTP) where the cost coefficients of the objective functions, the source availability, destination demand and conveyance capacities have been taken as stochastic intervals by the decision makers. The problem has been transformed into a classical multi-objective transportation problem where the multiple objective functions are … Show more

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Cited by 13 publications
(8 citation statements)
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“…The solution set of the Problem P1 defined by Definition 4.2 is also obtained as the Pareto optimal solution of the multi-objective problem as: (32) and (33).…”
Section: Theorem 41 It Can Be Proved Thatmentioning
confidence: 99%
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“…The solution set of the Problem P1 defined by Definition 4.2 is also obtained as the Pareto optimal solution of the multi-objective problem as: (32) and (33).…”
Section: Theorem 41 It Can Be Proved Thatmentioning
confidence: 99%
“…First developed by Charnes et al [21] and Charnes and Cooper [22] then applied by Lee [23] and Lee and Clayton [24], the GP model gained a great deal popularity and its use has spread in diversified field such as management of banking, water basins, solid waste, marketing, quality control, human resources, transportation and site selection, agriculture and forestry. In order to get a suitable transportation plan satisfying the given targets and to balance the two objectives defined in (31) and (32), the following priority levels are defined.…”
Section: Goal Programming Model For Moistpmentioning
confidence: 99%
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“…The STP in uncertain environment becomes important branch of optimization and a lot of models and algorithms have been presented for different problems by different authors [14,15,16,17]. A.Nagarajan and K.Jeyaraman developed many models and methods for solving multi_ objective interval solid Transportation problems in stochastic environment [20,26,27,28,29,30],solution procedures for solid fixed cost bi-criterion indefinite quadratic transportation problem under stochastic environment [20]. S.K.Das et al [21], developed the theory and methodology for multi-objective transportation problem with interval cost, source and destination parameters.…”
Section: Introductionmentioning
confidence: 99%