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Manufacturer optimal stock requirement and production rate to maximise the expected profit during peak time

机译:制造商最佳库存要求和生产率最大限度地提高预期利润

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摘要

In today's competitive business world, the manufacturers have to face a very volatile market demand and hence need to take the decision accordingly so as to maximise their profit. For a manufacturer, the production rate is usually constant in the short run and may not be adequate to meet the demand during the upcoming peak period. Therefore he needs to keep some stocks as a reserve so as to meet the upcoming peak demand period. But storage space and holding costs are another concern. Considering these problems, this paper aims at developing a model considering the number of order as a Poisson process with individual demands following lognormal distribution and find the optimal initial stock requirement to meet the peak period demand which maximises the expected profit. In addition to this, waiting period for the first order, the time between the successive orders, probability of shortage of stock at a given initial level during the peak time, optimal initial stock requirement to keep the probability of shortage below a predetermined level has been discussed. The numerical examples suggest that an optimal solution can be obtained which would maximise the manufacturer expected profit.
机译:在当今竞争激烈的商业世界中,制造商必须面临非常挥发的市场需求,因此需要相应地进行决定,以最大限度地提高他们的利润。对于制造商而言,生产率通常在短期内恒定,并且可能不足以满足即将到来的高峰期间的需求。因此,他需要将一些股票保留为储备,以满足即将到来的高峰需求期。但存储空间和持有费用是另一个问题。考虑到这些问题,本文旨在开发考虑到泊松过程的秩序数量的型号,以个人需求遵循逻辑正式分布,找到最佳初始库存要求,以满足最大化预期利润的高峰期需求。除此之外,还有一阶的等待时间,连续订单之间的时间,在峰值时间内给定初始水平的股票短缺概率,最佳初始库存要求,以保持低于预定级别的短缺概率讨论。数值示例表明,可以获得最佳解决方案,这将最大化制造商预期的利润。

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