title: Multi-choice stochastic transportation problem involving general form of distributions.
abstract: Many authors have presented studies of multi-choice stochastic transportation problem (MCSTP) where availability and demand parameters follow a particular probability distribution (such as exponential, weibull, cauchy or extreme value). In this paper an MCSTP is considered where availability and demand parameters follow general form of distribution and a generalized equivalent deterministic model (GMCSTP) of MCSTP is obtained. It is also shown that all previous models obtained by different authors can be deduced with the help of GMCSTP. MCSTP with pareto, power function or burr-XII distributions are also considered and equivalent deterministic models are obtained. To illustrate the proposed model two numerical examples are presented and solved using LINGO 13.0 software package.
authors.affiliation: Department of Statistics and Operations Research AMU, Aligarh, India.
authors.forename: Abdul
authors.initials: A
authors.lastname: Quddoos
authors.affiliation: Department of Statistics and Operations Research AMU, Aligarh, India.
authors.forename: Md Gulzar
authors.initials: MG
authors.lastname: Ull Hasan
authors.affiliation: Department of Statistics and Operations Research AMU, Aligarh, India.
authors.forename: Mohammad Masood
authors.initials: MM
authors.lastname: Khalid
keywords: General form of distributions; Multi-choice programming; Stochastic transportation problem; Transformation technique