Reduction of type-2 lognormal uncertain variable and its application to a two-stage solid transportation problem. (English) Zbl 1429.90038
Kar, Samarjit (ed.) et al., Operations research and optimization. FOTA 2016, Kolkata, India, November 24–26, 2016. Singapore: Springer. Springer Proc. Math. Stat. 225, 333-345 (2018).
Summary: The main focus of the paper is to develop a multi-objective solid transportation problem under uncertain environment, where transportation parameters are taken as type-2 lognormal uncertain variables. For reduction of the type-2 uncertain lognormal variables, expected value-based reduction method has been proposed. A two-stage solid transportation model has been also proposed here. Finally, an illustrative example with real-life data has been solved with the proposed expected value-based reduction method. A comparison has been shown between the result obtained using linear variable and lognormal variable. Lingo 13.0 optimization software has been used to find the optimal result.
For the entire collection see [Zbl 1395.49001].
For the entire collection see [Zbl 1395.49001].
MSC:
90C08 | Special problems of linear programming (transportation, multi-index, data envelopment analysis, etc.) |
90C29 | Multi-objective and goal programming |
90C15 | Stochastic programming |