Transportation Problem with Multi-choice Cost and Demand and Stochastic Supply  

作　　者：Sankar Kumar Roy 

机构地区：[1]Department of Applied Mathematics with Oceanology and Computer Programming,Vidyasagar University,Midnapore,West Bengal 721102,India

出　　处：《Journal of the Operations Research Society of China》2016年第2期193-204,共12页中国运筹学会会刊（英文）

摘　　要：This paper analyzes the multi-choice stochastic transportation problem where the cost coefficients of the objective function and the demand parameters of the constraints follow multi-choice parameters.Assume that the supply parameters of the constraints in a transportation problem(TP)follow logistic distribution.The main objective of this paper is to select an appropriate choice from the multi-choices for the cost coefficients of the objective function and the demand of the constraints in the TP by introducing Lagrange’s interpolating polynomial in such a way that the total cost is minimized and satisfies the required demand.Using stochastic programming,the stochastic supply constraints of the TP are transformed into deterministic constraints.Finally,a non-linear deterministic model is formulated.Using Lingo software,the optimal solution of the proposed problem is derived.To illustrate the methodology,a real-life problem on the TP is considered.

关 键 词：Transportation problem Multi-choice programming Lagrange’s interpolating polynomial Stochastic programming 

分 类 号：O17[理学—数学]