Intertemporal generalization of the relationship between material requirements planning and input-output analysis

Article Abstract:

Materials requirements planning (MPR) approaches to inventory control usually entail problems regarding time-phased order starts. Input-output analysis is applied with the MPR problem to investigate stationary economic order quantity policies. The approach is concerned with multi-period cases where inventories and production time-allocation are significant. The results show that expressions for the calculation of order quantities are modified and the inventory holding cost is based on the value added in the process.

Evaluation, Inventory control

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Modelling production opportunities - an historical overview

Article Abstract:

The historical development of production economics stems from the early recognition of production as a process of transforming a set of inputs into another set. This transformation was recognized in the 18th century in terms of agricultural production, which distinguished land, labor and capital as the major variables of production. Other later concepts include the production function, which defines a mathematical relationship between output and input volumes, and the more current material requirements planning.

History, Production functions (Economics)

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The EOQ with backlogging derived without derivatives

Article Abstract:

A study was conducted to extend the EOQ formula to a backlogging case. The value of the average cost function was determined in optimum. The formula supported a maximum inventory level and a backorder level, a demand rate, an ordering cost, an order quantity, and an inventory holding cost per unit and time unit. The cost expression was characterized with some algebraic development to show that the minimum can be determined using two quadratic non-negative terms.

Economics, Research and Development in the Social Sciences and Humanities, Research

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