An Interactive Method for Multi-Period Multiobjective Production-Transportation Programming Problems with Fuzzy Coefficients

Abstract

Multi-period production-transportation programming problems which are formulated production and transportation collectively have been studied variously for total and long-range management plans. The merit by them is that we are able to deal with some problems of increasing transportation cost caused by social conditions of manpower shortage, traffic jam, and also problems of over capacity or under capacity by the change of future demand. But their formulations can't adopt uncertainty. The number of interactive methods are a few to deal rationally with very many objectives by multi-period management plans. In this paper, we formulate multi-period production-transportation programming problemsconsidering fuzziness as to overtime in factories, demand forecasting, stock levels, transportation cost and goal levels. This formulation integrates plural satisfactional levels including very many objectives and constraints by minimum operator. In this model we suggest an interactive method recognizing fuzziness for interactive process.