周期的開花条件下での複数市場への生鮮農産物収穫・配送モデル [in Japanese] A Periodical Flowering-Harvesting Model for Delivering Fresh Agricultural Products to Multiple Markets [in Japanese]
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The total loss of fresh agricultural products amounts to 20-60% of all the products harvested in any country, requiring an effective harvesting-delivering plan in the agro-industry. This paper constructs a basic supply chain model for harvesting and delivering fresh agricultural products to multiple markets. This is accomplished by formulating the plant growing process and the loss process of fresh products in mathematical forms. The model deals with periodical harvesting under periodical flowering to maximize a level of demand satisfied constantly in each market every period. The demand level satisfied in each market is assumed to be proportional to the market size. The periodical flowering and growing process is formulated in a quasi-concave function to express the maximum amount of harvestable fresh products, provided that any requirements for harvesting fresh products should be satisfied through the earliest possible flowering. The loss process is identified in a monotone non-increasing loss function expressing the amount of available fresh products whose quality is good enough to consume. After any amount of fresh products is consumed in any market, the remaining fresh products available in the next period is calculated by considering the continual loss process. Periodical multiple deliveries to each market are also formulated to express the maximum amount of available fresh products, provided that any requirements for satisfying demand should be satisfied through the earliest possible delivery. An optimization algorithm is proposed for finding an optimal harvesting pattern to maximize the demand level satisfied constantly every period. The derivation process of the proposed algorithm is described in detail, and the proof is given to show that the proposed algorithm is optimal. Numerical examples are demonstrated to show how the optimal harvesting pattern varies with changes in the interval of periodical flowering and delivery lead-time.
- Journal of Japan Industrial Management Association
Journal of Japan Industrial Management Association 56(3), 164-173, 2005
Japan Industrial Management Association