2018
DOI: 10.3846/mma.2018.028
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Supply Chain Modeled as a Metabolic Pathway

Abstract: A new model of economic production process is proposed (in the form of a set of ODEs) based on an idea that nonconsumable factors of production facilitate the conversion of inputs to output in much the same catalytic way as do enzymes in living cells when transforming substrates into different chemical compounds. The output of a converging, multi-resource, single-product supply chain network is shown to depend on the minimum of its inputs in the form of the Leontief--Liebig production function, providing the v… Show more

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Cited by 5 publications
(3 citation statements)
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“…The analogy of IM refers to physical processes and resource flows between raw materials and energy. Production factors, such as labor and machinery, act as catalytic enzymes in the conversion of inputs into products [72]. Methodologies are employed to handle the complexity of IM, including temporal dynamics and the quantification of energy and material flows, as well as the embodied energy in facilities and maintenance [73].…”
Section: Metabolic Pathwaysmentioning
confidence: 99%
“…The analogy of IM refers to physical processes and resource flows between raw materials and energy. Production factors, such as labor and machinery, act as catalytic enzymes in the conversion of inputs into products [72]. Methodologies are employed to handle the complexity of IM, including temporal dynamics and the quantification of energy and material flows, as well as the embodied energy in facilities and maintenance [73].…”
Section: Metabolic Pathwaysmentioning
confidence: 99%
“…Based on this idea, it can be shown (ref. for the details [ 67 ]) that virtually any converging, multi-resource, single-product supply chain of arbitrary length must possess the property of Leontief technology: its output will be solely determined by the slowest input. Assuming the input (upstream) stage corresponding to i th resource to operate by the generic mechanism ( 15 ), an uptake rate of i th resource will be described by the famous Michaelis–-Menten equation [ 68 ] for substrate uptake rate in enzymatic reaction: Here S i is the per firm availability of i th resource, is the maximum uptake rate of i th resource by a firm of j th type, and K ij is the half-saturation constant —the value of S i when , i. e. the resource stock supporting an uptake rate one-half the maximum rate.…”
Section: The Modelmentioning
confidence: 99%
“…Based on this idea, it can be shown (ref. for the details [67]) that virtually any converging, multi-resource, single-product supply chain of arbitrary length must possess the property of Leontief technology: its output will be solely determined by the slowest input. Assuming the input (upstream) stage corresponding to ith resource to operate by the generic mechanism (15), an uptake rate of ith resource will be described by the famous Michaelis--Menten equation [68] for substrate uptake rate in enzymatic reaction:…”
Section: The Modelmentioning
confidence: 99%