centralizing and using proper transportation facilities cut down costs and traffic. hub facilities concentrate on flows to cause economic advantage of scale and multimodal transportation helps use the advantage of another transporter. a distinctive feature of this paper is proposing a new mathematical formulation for a three-stage p-hub location routing problem with simultaneous pick-ups and de...

Real-time systems usually operate in an environment that changes continuously. These changes cause the performance of the system to vary during run time. An allocation of resources in this environment must be robust. Using the amount of load variation that the allocation can accommodate as a measure of robustness, we develop a mathematical formulation for the problem of robust resource allocati...

{During the last decade, the problem of production scheduling has been realized to be one of the most important problems in industrial plant operations especially when multipurpose/multiproduct batch processes are involved. This paper presents a novel mathematical formulation for the short-term scheduling of batch plants. The proposed formulation is based on a continuous time representation and...

Estimating loadability of a generation and transmission system is of practical importance in power system operations and planning. This paper presents a new formulation for the problem using mathematical programming theory. Both steady-state and dynamic security are taken into account in the proposed formulation. The difference between the proposed formulation and existing ones is that dynamic ...

States of a quantum mechanical system are represented by rays in a complex Hilbert space. The space of rays has, naturally, the structure of a KK ahler manifold. This leads to a geometrical formulation of the postulates of quantum mechanics which, although equivalent to the standard algebraic formulation , has a very diierent appearance. In particular, states are now represented by points of a ...

This paper introduces a new variant of the Shortest Path Problem (SPP) called Cost-Balanced (CBPP). Various real problems can either be modeled as BCPP or include sub-problem. We prove several properties related to complexity CBPP problem. In particular, we demonstrate that problem is NP-hard in its general version, but it becomes solvable polynomial time specific family instances. Moreover, ma...

It is widely accepted that the Feynman integral one of most promising methodologies for defining a generally covariant formulation nonperturbative interacting quantum field theories (QFTs) without fixed prearranged causal background. Recent literature suggests if spacetime metric not fixed, e.g. because it to be quantized along with other fields, may able avoid considering in original Lorentz s...