A universal bipartite model is proposed based on an energy supply–demand network. The analytical expression of SPL distribution of the node weight, the “shifting coefficient” α and the scaling exponent γ are presented without edge weight growth by using the mean-field theory approach....

In this paper, we deal with a class of anticipated backward stochastic differential equations related to finite state, continuous time Markov chains. The adapted solution of those equations as well as a scalar comparison theorem will be established.

Given k identical salesmen, where k⩾2 is a constant independent of the input size, the min–max k-traveling salesmen problem on a tree is to determine a set of k tours for the salesmen to serve all customers that are located on a tree-shaped network, so that each tour starts from and returns...

This paper presents a new methodology for determining optimal operation of soil aquifer treatment (SAT) systems considering parameter uncertainty. The problem of optimal operation of SAT systems is formulated and solved in a discrete-time optimal control framework by interfacing the SALQR (<Emphasis...</emphasis>

Carbon emission control becomes a challenge in recent years, and carbon emission trading is an effective way to curb carbon emission. This paper investigates the multi-item production planning problem with carbon cap and trade mechanism, in which a firm uses a common capacity and carbon emission...