Title: Interactive fuzzy stochastic multiobjective purchase and transportation planning for food retailing

Authors: Masatoshi Sakawa; Hitoshi Yano; Ichiro Nishizaki

Addresses: Department of System Cybernetics, Graduate School of Engineering, Higashi-Hiroshima, 739-8527, Japan ' Department of Social Sciences, School of Humanities and Social Sciences, Nagoya, 467-8501, Japan ' Department of System Cybernetics, Graduate School of Engineering, Higashi-Hiroshima, 739-8527, Japan

Abstract: This paper considers purchase and transportation planning for food retailing in Japan where the food retailer deals with vegetables and fruits which are purchased at the central wholesale markets in several cities, and transports them by truck from each of the central wholesaler markets to the food retailer's storehouse. From a stochastic perspective, by carefully reviewing parameters in our original problem formulation, through the introduction of stochastic parameters, multiobjective linear stochastic programming problems are introduced. By using the typical stochastic models including the expectation model, the fractile model, the probability model together with chance constrained programming, the formulated multiobjective linear stochastic programming problems are transformed into deterministic ones. Assuming the decision maker has the fuzzy goal for each of the objective functions, several interactive fuzzy satisficing methods are presented for deriving a satisficing solution for the decision maker by updating the reference membership levels.

Keywords: purchase planning; food retailing; multiobjective programming; stochastic programming; fuzzy programming; interactive programming; Japan; transport planning; fruit and vegetables; expectation models; fractile models; probability models; chance constrained programming; modelling.

DOI: 10.1504/IJOR.2017.081911

International Journal of Operational Research, 2017 Vol.28 No.3, pp.367 - 391

Received: 21 Oct 2013
Accepted: 24 Jul 2014
Published online: 31 Jan 2017 *

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