scholarly journals A Mathematical Model for Resource Allocation in Population Programs

Demography ◽  
1972 ◽  
Vol 9 (3) ◽  
pp. 465 ◽  
Author(s):  
Charles E. Lawrence ◽  
Axel I. Mundigo ◽  
Charles S. ReVelle
2015 ◽  
Author(s):  
Mauricio González-Forero

In many eusocial species, queens use pheromones to influence offspring to express worker phenotypes. While evidence suggests that queen pheromones are honest signals of the queen's reproductive health, here I show that queen's honest signaling can result from ancestral maternal manipulation. I develop a mathematical model to study the coevolution of maternal manipulation, offspring resistance to manipulation, and maternal resource allocation. I assume that (1) maternal manipulation causes offspring to be workers against offspring's interests; (2) offspring can resist at no direct cost, as is thought to be the case with pheromonal manipulation; and (3) the mother chooses how much resource to allocate to fertility and maternal care. In the coevolution of these traits, I find that maternal care decreases, thereby increasing the benefit that offspring obtain from help, which in the long run eliminates selection for resistance. Consequently, ancestral maternal manipulation yields stable eusociality despite costless resistance. Additionally, ancestral manipulation in the long run becomes honest signaling that induces offspring to help. These results indicate that both eusociality and its commonly associated queen honest signaling can be likely to originate from ancestral manipulation.


10.12737/4515 ◽  
2014 ◽  
Vol 4 (2) ◽  
pp. 118-121
Author(s):  
Бурмистрова ◽  
Olga Burmistrova ◽  
Сушков ◽  
Sergey Sushkov ◽  
Пильник ◽  
...  

The justification of the integrated optimal utilization of wood resources of the Republic of Komi is made. The conditions of wood raw material resource allocation at prevailing consumers and possible reorganized processing industries are considered. Criteria for optimization of existing production facilities in the region and establishing new industries are considered. Established criteria of optimization and formalized conditions of distribution of forest resources allow you to present a mathematical model of optimization calculations to establish the structure and volume of processing industries, taking into account the limitations of eight.


2021 ◽  
Vol 70 (1) ◽  
pp. 25-29
Author(s):  
А.М. Корнеев ◽  
Т.В. Лаврухина ◽  
Т.А. Сметанникова

The paper describes the choice of a method for the correct and correct allocation of resources within the Ministry of Emergency Situations management. As such a method, it was decided to choose the Bellman algorithm. A mathematical model is introduced that allows applying the chosen optimality principle. The choice of the general type of function that is most suitable for resource allocation is given.


2020 ◽  
Vol 9 (4) ◽  
pp. 58
Author(s):  
Hadeel Abdah ◽  
João Paulo Barraca ◽  
Rui L. Aguiar

5G systems are putting increasing pressure on Telecom operators to enhance users’ experience, leading to the development of more techniques with the aim of improving service quality. However, it is essential to take into consideration not only users’ demands but also service providers’ interests. In this work, we explore policies that satisfy both views. We first formulate a mathematical model to compute End-to-End (E2E) delay experienced by mobile users in Multi-access Edge Computing (MEC) environments. Then, dynamic Virtual Machine (VM) allocation policies are presented, with the objective of satisfying mobile users Quality of Service (QoS) requirements, while optimally using the cloud resources by exploiting VM resource reuse.Thus, maximizing the service providers’ profit should be ensured while providing the service required by users. We further demonstrate the benefits of these policies in comparison with previous works.


1969 ◽  
Vol 1 (2) ◽  
pp. 238-270 ◽  
Author(s):  
J. C. Gittins

The problem of allocating scientific effort between a number of competing projects is considered. A stochastic mathematical model is set up, and for the case of just two competing projects a number of results are proved which enable the best policy to be determined. An indication is given of the ways in which these results might be extended so as to deal with more general situations.


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