this research presents a mathematical model for oil and gas optimal allocation to different sectors in iran using operations research techniques. sectors are residential and commercial, transportation, industries, agriculture, exports, injection to oil reservoirs and power plans as a secondary energy producer. optimal allocation of energy resources to end-uses from 2011 to 2021 has been done us...

We consider the optimal control of an unreliable manufacturing system with restarting costs. In 1986 and 1988, Akella and Kumar (for the in nite horizon discounted cost) and Bielecki and Kumar (for the in nite horizon average expected cost) show that the optimal policy is given by an optimal inventory level (“hedging point policy”). Inspired by these simple systems, we explore a new class of mo...

In critical energy infrastructure sectors (e.g. electric power generation, natural gas transportation, oil refining capacity) maintaining certain level of excess capacity is socially valuable (as it serves to protect against unexpected market conditions) but not necessarily compatible with the incentives for individual firms in the market. In this paper, we develop a dynamic oligopoly model wit...

Knowing an upper bound on the number of optimal design points greatly simplifies the search for an optimal design. Carathéodory’s Theorem is commonly used to identify an upper bound. However, the upper bound from Carathéodory’s Theorem is relative loose when there are three or more parameters in the model. In this paper, an alternative approach of finding a sharper upper bound for classical opt...