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Sunday Meditation (133): Journal Paper 1.1 Explanation of Assumptions and Symbols

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Sunday Meditation (133): Journal Paper 1.1 Explanation of Assumptions and Symbols

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Today, the editor brings you the journal paper "Supply Chain Operations Considering Fairness Concerns and Their Negotiation Breakdown Points" 1.1 Hypothesis and Symbolic Explanation.

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Today, the editor brings “ Assumptions and notation of the journal article 《Supply chain operations considering fairness concerns and their negotiation rupture points》".

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内容摘要:Abstract

In this issue, we will introduce the assumptions and symbols of the journal paper "Supply Chain Operations Considering Equity Concerns and Their Negotiation Breakdown Points" from three aspects: mind map, intensive reading content, and knowledge supplementation.

This issue's tweet will introduce the journal article 《Supply chain operations considering fairness concerns and their negotiation rupture points》 from three aspects: mind mapping, detailed reading content, and supplementary knowledge, focusing on assumptions and notation.

思维导图:Mind mapping

Sunday Meditation (133): Journal Paper 1.1 Explanation of Assumptions and Symbols

精读内容:Intensive reading content

This section describes model assumptions and notation descriptions. First, this paper considers a two-level supply chain system composed of a single supplier and a single retailer, and both parties have a tendency to have a fair preference. Retailers face a single-cycle sales market with random demand, placing orders before the start of each single-period sales season, and no replenishment after the start of sales, in order to simplify the calculation, regardless of the out-of-stock cost and the residual value of the goods. Secondly, in the hypothesis part, it is assumed that D>0 represents the random market demand of the sales season, and its probability density function and cumulative distribution function are f(x) and F(x), respectively. Then describe the meaning of each parameter, p is the selling price of the unit of goods; c is the cost per unit of goods; q is the retailer's order quantity. Finally, the failure rate function g(x) is defined.

This section describes the notation used in the model. Firstly, the study considers a two-tier supply chain system comprising a single supplier and a single retailer, both of whom exhibit a preference for fairness in their behavior. The retailer operates in a single-period sales market with stochastic demand, placing orders before each sales season and refraining from restocking once sales commence. To simplify calculations, stockout costs and residual values of goods are not considered. Secondly, under the assumption that D > 0 represents the random market demand for the sales season, with probability density function f(x) and cumulative distribution function F(x), the parameters are defined. Here, p denotes the selling price per unit of the product; c represents the cost per unit of the product; and q denotes the order quantity of the retailer. Finally, the failure rate function g(x) is defined.

Sunday Meditation (133): Journal Paper 1.1 Explanation of Assumptions and Symbols

知识补充:Knowledge supplement

1、概率密度函数 Probability density function

In mathematics, the probability density function of a continuous random variable is a function that describes the probability that the output value of the random variable will be near a certain value point. The probability that the value of a random variable falls within a region is the integral of the probability density function in this region. When a probability density function exists, the cumulative distribution function is an integral of the probability density function.

In mathematics, the probability density function of a continuous random variable describes the likelihood of obtaining a particular output value near a specific point. The probability that a random variable falls within a certain range is the integral of the probability density function over that range. When the probability density function exists, the cumulative distribution function is the integral of the probability density function.

Sunday Meditation (133): Journal Paper 1.1 Explanation of Assumptions and Symbols

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References:[1] Nie Tengfei, He Biyu, Du Shaofu. Supply Chain Operations Considering Equity Concerns and Negotiation Breakdown Points [J]. Journal of Management Science, 2017, 20(10): 92-102.

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