<p>Estimation of optimum production lot in an integrated manufacturing-inventory management phenomenon is a crucial task to smooth the supply flow to consumers, avoiding large-scale accumulation of products produced. Demand and production are two main components that control the management decision on lot size. In this paper, a production inventory phenomenon for deteriorating items is studied in the framework of an economic production quantity model. The influences of price, stock, and preservation measures on demand and stock on production rate are addressed. A model of optimization centered on average profit is studied under three different problems corresponding to the production cycle, the selling price, and the preservation level as decision parameters. The concavity of the average profit function with respect to all the decision variables is established under certain constraints, which guarantees the local optimal nature of the objective function. After investigation, it is perceived that the price hike and the enhancement of the preservation level shorten the production lot and tenure, resulting in a positive impact on the profit goal. There are differences on impacts of production tenure and preservation level on optimal pricing. The presence of preservation and enhancement of production tenure make optimal price lower and reflect negative impacts on profit goal. Furthermore, the price hike advocates for minimal preservation presence to reach profit goal. Bakery industries, for instance, can sharpen their managerial decision on production, supply, and warehousing with the mentioned insights.</p>

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Cumulative influences of pricing, visible stock and preservation measure on production-inventory decisions

  • Musaraf Hossain,
  • Mostafijur Rahaman,
  • Shariful Alam

摘要

Estimation of optimum production lot in an integrated manufacturing-inventory management phenomenon is a crucial task to smooth the supply flow to consumers, avoiding large-scale accumulation of products produced. Demand and production are two main components that control the management decision on lot size. In this paper, a production inventory phenomenon for deteriorating items is studied in the framework of an economic production quantity model. The influences of price, stock, and preservation measures on demand and stock on production rate are addressed. A model of optimization centered on average profit is studied under three different problems corresponding to the production cycle, the selling price, and the preservation level as decision parameters. The concavity of the average profit function with respect to all the decision variables is established under certain constraints, which guarantees the local optimal nature of the objective function. After investigation, it is perceived that the price hike and the enhancement of the preservation level shorten the production lot and tenure, resulting in a positive impact on the profit goal. There are differences on impacts of production tenure and preservation level on optimal pricing. The presence of preservation and enhancement of production tenure make optimal price lower and reflect negative impacts on profit goal. Furthermore, the price hike advocates for minimal preservation presence to reach profit goal. Bakery industries, for instance, can sharpen their managerial decision on production, supply, and warehousing with the mentioned insights.